%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.26",
%%%     date            = "20 November 2014",
%%%     time            = "09:22:56 MDT",
%%%     filename        = "numana2010.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "http://www.math.utah.edu/~beebe",
%%%     checksum        = "13488 4779 22722 232481",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; numerical analysis",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This bibliography collects publications
%%%                        in the large field of numerical analysis
%%%                        from books and conference proceedings, but
%%%                        excluding journal articles, which are covered
%%%                        in separate bibliographies in the TeX User
%%%                        Group archive.
%%%
%%%                        This file includes publications for the
%%%                        decade 2010--2019.
%%%
%%%                        At version 1.26, the year coverage looked
%%%                        like this:
%%%
%%%                             2010 (  30)    2012 (  20)    2014 (  16)
%%%                             2011 (  28)    2013 (  12)
%%%
%%%                             Article:          3
%%%                             Book:            98
%%%                             Proceedings:      5
%%%
%%%                             Total entries:  106
%%%
%%%                        The initial draft of entries for 2000--2009
%%%                        was derived from the OCLC Proceedings
%%%                        database, from the MathSciNet database, from
%%%                        the University of California Melvyl catalog,
%%%                        and from the U.S. Library of Congress
%%%                        catalog.
%%%
%%%                        In this bibliography, entries are sorted
%%%                        first by ascending year, and within each
%%%                        year, alphabetically by author or editor,
%%%                        and then, if necessary, by the 3-letter
%%%                        abbreviation at the end of the BibTeX
%%%                        citation tag, using the bibsort -byyear
%%%                        utility.  Year order has been chosen to
%%%                        make it easier to identify the most recent
%%%                        work.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

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    "\ifx \undefined \k        \let \k = \c \fi" #
    "\ifx \undefined \circled  \def \circled #1{(#1)}\fi" #
    "\ifx \undefined \reg      \def \reg {\circled{R}}\fi"
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%%%=====================================================================
%%% Acknowledgement abbreviations:

@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|http://www.math.utah.edu/~beebe/|"}

%%%=====================================================================
%%% Journal abbreviations:

@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-HIST-MATH             = "Historia Mathematica"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

%%%=====================================================================
%%% Publishers and their addresses:

@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-BIRKHAUSER-BOSTON   = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-CHAPMAN-HALL-CRC    = "Chapman and Hall/CRC"}
@String{pub-CHAPMAN-HALL-CRC:adr = "Boca Raton, FL, USA"}

@String{pub-CLARENDON           = "Clarendon Press"}
@String{pub-CLARENDON:adr       = "New York, NY, USA"}

@String{pub-CRC                 = "CRC Press"}
@String{pub-CRC:adr             = "2000 N.W. Corporate Blvd., Boca Raton, FL
                                   33431-9868, USA"}

@String{pub-ELSEVIER-ACADEMIC   = "Elsevier Academic Press"}
@String{pub-ELSEVIER-ACADEMIC:adr = "Amsterdam, The Netherlands"}

@String{pub-GRUYTER             = "Walter de Gruyter"}
@String{pub-GRUYTER:adr         = "New York"}

@String{pub-JOHNS-HOPKINS       = "The Johns Hopkins University Press"}
@String{pub-JOHNS-HOPKINS:adr   = "Baltimore, MD, USA"}

@String{pub-KNOPF               = "Alfred A. Knopf"}
@String{pub-KNOPF:adr           = "New York, NY, USA"}

@String{pub-OLDENBOURG          = "R. Oldenbourg"}
@String{pub-OLDENBOURG:adr      = "M{\"u}nchen, Germany"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-PH                  = "Pren{\-}tice-Hall"}
@String{pub-PH:adr              = "Upper Saddle River, NJ 07458, USA"}

@String{pub-PRINCETON           = "Princeton University Press"}
@String{pub-PRINCETON:adr       = "Princeton, NJ, USA"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg, Germany~/
                                   London, UK~/ etc."}

@String{pub-WILEY               = "Wiley"}
@String{pub-WILEY:adr           = "New York, NY, USA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing Co."}
@String{pub-WORLD-SCI:adr       = "Singapore; Philadelphia, PA, USA; River
                                   Edge, NJ, USA"}

%%% ====================================================================
%%% Series abbreviations:

@String{ser-LECT-NOTES-MATH     = "Lecture Notes in Mathematics"}

@String{ser-LNCSE               = "Lecture Notes in Computational
                                   Science and Engineering"}

%%%=====================================================================
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with `bibsort -byyear':

@Book{Ackleh:2010:CMN,
  author =       "Azmy S. Ackleh and Edward James Allen and Ralph Baker
                 Kearfott and Padmanabhan Seshaiyer",
  title =        "Classical and modern numerical analysis: theory,
                 methods and practice",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xix + 608",
  year =         "2010",
  ISBN =         "1-4200-9157-3 (hardcover)",
  ISBN-13 =      "978-1-4200-9157-1 (hardcover)",
  LCCN =         "QA297 .C53 2010",
  MRclass =      "65-01",
  MRnumber =     "2555915",
  bibdate =      "Tue May 27 12:10:25 MDT 2014",
  bibsource =    "aubrey.tamu.edu:7090/voyager;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Theory, methods and practice",
  series =       "Chapman and Hall/CRC numerical analysis and scientific
                 computing",
  abstract =     "The book provides a sound foundation in numerical
                 analysis for more specialized topics, such as finite
                 element theory, advanced numerical linear algebra, and
                 optimization. It prepares graduate students for taking
                 doctoral examinations in numerical analysis. The text
                 covers the main areas of introductory numerical
                 analysis, including the solution of nonlinear
                 equations, numerical linear algebra, ordinary
                 differential equations, approximation theory, numerical
                 integration, and boundary value problems. Focusing on
                 interval computing in numerical analysis, it explains
                 interval arithmetic, interval computation, and interval
                 algorithms. The authors illustrate the concepts with
                 many examples as well as analytical and computational
                 exercises at the end of each chapter. This advanced,
                 graduate-level introduction to the theory and methods
                 of numerical analysis supplies the necessary background
                 in numerical methods so that students can apply the
                 techniques and understand the mathematical literature
                 in this area.",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis; Data processing",
  xxeditor =     "Azmy S. Ackleh and Padmanabhan Seshaiyer and Ralph
                 Baker Kearfott and Edward James Allen",
}

@Book{BaezLopez:2010:MAE,
  author =       "David {B{\'a}ez L{\'o}pez}",
  title =        "{MATLAB} with applications to engineering, physics and
                 finance",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xiv + 412",
  year =         "2010",
  ISBN =         "1-4398-0697-7 (hardcover)",
  ISBN-13 =      "978-1-4398-0697-5 (hardcover)",
  LCCN =         "QA297 .B28 2010",
  MRclass =      "65-01",
  MRnumber =     "2574020",
  bibdate =      "Tue May 27 12:31:50 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  remark =       "``A Chapman and Hall book.''.",
  subject =      "Numerical analysis; Data processing; MATLAB",
}

@Book{Baumgarte:2010:NRS,
  author =       "Thomas W. Baumgarte and Stuart L. (Stuart Louis)
                 Shapiro",
  title =        "Numerical relativity: solving {Einstein}'s equations
                 on the computer",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xviii + 698",
  year =         "2010",
  ISBN =         "0-521-51407-X",
  ISBN-13 =      "978-0-521-51407-1",
  LCCN =         "QC173.6 .B38 2010",
  bibdate =      "Fri Oct 7 08:35:27 MDT 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "General relativity (Physics); Einstein field
                 equations; Numerical calculations",
  tableofcontents = "General relativity preliminaries \\
                 The $3 + 1$ decomposition of Einstein's equations \\
                 Constructing initial data \\
                 Choosing coordinates: the lapse and shift \\
                 Matter sources \\
                 Numerical methods \\
                 Locating black hole horizons \\
                 Spherically symmetric spacetimes \\
                 Gravitational waves \\
                 Collapse of collisionless clusters in axisymmetry \\
                 Recasting the evolution equations \\
                 Binary black hole initial data \\
                 Binary black hole evolution \\
                 Rotating stars \\
                 Binary neutron star initial data \\
                 Binary neutron star evolution \\
                 Binary black hole-neutron stars: initial data and
                 evolution",
}

@Book{Bockhorn:2010:MMA,
  editor =       "Henning Bockhorn and Dieter Mewes and Wolfgang Peukert
                 and Hans-Joachim Warnecke",
  title =        "Micro- and macromixing: analysis, simulation and
                 numerical calculation",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xi + 346",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-04549-3",
  ISBN =         "3-642-04549-9, 3-642-04548-0",
  ISBN-13 =      "978-3-642-04549-3, 978-3-642-04548-6",
  LCCN =         "TP156.M5 M537 2010",
  bibdate =      "Mon Aug 23 11:05:53 MDT 2010",
  bibsource =    "aubrey.tamu.edu:7090/voyager;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Heat and mass transfer",
  acknowledgement = ack-nhfb,
  subject =      "mixing; equipment and supplies; mathematical models",
}

@Book{Burden:2010:NA,
  author =       "Richard L. Burden and J. Douglas Faires",
  title =        "Numerical analysis",
  publisher =    "Cengage Learning",
  address =      "Boston, MA, USA",
  edition =      "Nineth",
  pages =        "????",
  year =         "2010",
  ISBN =         "0-538-73351-9",
  ISBN-13 =      "978-0-538-73351-9",
  LCCN =         "????",
  bibdate =      "Mon Aug 23 10:50:14 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
}

@Book{Christensen:2010:FSE,
  author =       "Ole Christensen",
  title =        "Functions, spaces, and expansions: mathematical tools
                 in physics and engineering",
  publisher =    pub-BIRKHAUSER-BOSTON,
  address =      pub-BIRKHAUSER-BOSTON:adr,
  pages =        "xix + 263",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-0-8176-4980-7;",
  ISBN =         "0-8176-4980-8",
  ISBN-13 =      "978-0-8176-4980-7",
  LCCN =         "QA331.7 .C57 2010",
  bibdate =      "Mon Aug 23 11:22:11 2010",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.gbv.de:20011/gvk",
  series =       "Applied and numerical harmonic analysis",
  acknowledgement = ack-nhfb,
  subject =      "computer science; engineering mathematics; Fourier
                 analysis; functional analysis; functions, special;
                 mathematical physics; mathematics",
}

@Book{Datta:2010:NLA,
  author =       "Biswa Nath Datta",
  title =        "Numerical linear algebra and applications",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  edition =      "Second",
  pages =        "xxiv + 530",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1137/1.9780898717655",
  ISBN =         "0-534-17466-3 (paperback), 0-89871-685-3",
  ISBN-13 =      "978-0-534-17466-8 (paperback), 978-0-89871-685-6",
  LCCN =         "QA184.2 .D38 2010",
  MRclass =      "65-01 (65Fxx)",
  MRnumber =     "2596938",
  bibdate =      "Tue May 27 12:31:49 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager;
                 z3950.gbv.de:20011/gvk; z3950.loc.gov:7090/Voyager",
  URL =          "http://www.gbv.de/dms/ilmenau/toc/603672094.PDF;
                 http://www.loc.gov/catdir/enhancements/fy1001/2009025104-b.html;
                 http://www.loc.gov/catdir/enhancements/fy1001/2009025104-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1001/2009025104-t.html;
                 http://www.zentralblatt-math.org/zmath/en/search/?an=1187.65027",
  acknowledgement = ack-nhfb,
  subject =      "Algebras, Linear; Numerical analysis",
  tableofcontents = "Linear algebra problems, their importance, and
                 computational difficulties \\
                 A review of some required concepts from core linear
                 algebra \\
                 Floating point numbers and errors in computation \\
                 Stability of algorithms and conditioning of problems
                 \\
                 Gaussian elimination and $LU$ factorization \\
                 Numerical solutions of linear systems \\
                 $QR$ factorization, singular value decomposition, and
                 projections \\
                 Least-squares solutions to linear systems \\
                 Numerical matrix eigenvalue problems \\
                 Numerical symmetric eigenvalue problem and singular
                 value decomposition \\
                 Generalized and quadratic eigenvalue problems \\
                 Iterative methods for large and sparse problems: an
                 overview \\
                 Some key terms in numerical linear algebra",
}

@Book{Etter:2010:IM,
  author =       "Delores M. Etter",
  title =        "Introduction to {MATLAB}",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  edition =      "Second",
  pages =        "????",
  year =         "2010",
  ISBN =         "0-13-608123-1",
  ISBN-13 =      "978-0-13-608123-4",
  LCCN =         "TA345 .E8724 2010",
  bibdate =      "Mon Jan 31 15:09:54 MST 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Engineering mathematics; Data processing; MATLAB;
                 Numerical analysis",
}

@Book{Golub:2010:MMQ,
  author =       "Gene H. Golub and G{\'e}rard Meurant",
  title =        "Matrices, moments and quadrature with applications",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "xii + 363",
  year =         "2010",
  ISBN =         "0-691-14341-2",
  ISBN-13 =      "978-0-691-14341-5",
  MRclass =      "65-02 (65D30)",
  MRnumber =     "MR2582949",
  bibdate =      "Mon May 17 14:08:36 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Princeton Series in Applied Mathematics",
  ZMnumber =     "pre05661633",
  abstract =     "This computationally oriented book describes and
                 explains the mathematical relationships among matrices,
                 moments, orthogonal polynomials, quadrature rules, and
                 the Lanczos and conjugate gradient algorithms. The book
                 bridges different mathematical areas to obtain
                 algorithms to estimate bilinear forms involving two
                 vectors and a function of the matrix. The first part of
                 the book provides the necessary mathematical background
                 and explains the theory. The second part describes the
                 applications and gives numerical examples of the
                 algorithms and techniques developed in the first part.
                 Applications addressed in the book include computing
                 elements of functions of matrices; obtaining estimates
                 of the error norm in iterative methods for solving
                 linear systems and computing parameters in least
                 squares and total least squares; and solving ill-posed
                 problems using Tikhonov regularization. This book will
                 interest researchers in numerical linear algebra and
                 matrix computations, as well as scientists and
                 engineers working on problems involving computation of
                 bilinear forms.",
  acknowledgement = ack-nhfb,
}

@Book{Griffiths:2010:NMO,
  author =       "David F. (David Francis) Griffiths and Desmond J.
                 (Desmond J.) Higham",
  title =        "Numerical methods for ordinary differential equations:
                 initial value problems",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiv + 271",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-0-85729-148-6",
  ISBN =         "0-85729-147-5",
  ISBN-13 =      "978-0-85729-147-9",
  LCCN =         "QA371 .G72 2010",
  MRclass =      "65-01 (65Lxx)",
  MRnumber =     "2759806 (2012g:65002)",
  MRreviewer =   "Philip W. Sharp",
  bibdate =      "Tue May 27 12:31:11 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  note =         "Initial value problems",
  series =       "Springer Undergraduate Mathematics Series",
  acknowledgement = ack-nhfb,
  subject =      "Differential equations; Numerical solutions",
}

@Book{Kilmer:2010:GWS,
  editor =       "Misha Elena Kilmer and Dianne P. O'Leary",
  title =        "{G. W. Stewart}: selected works with commentaries",
  publisher =    pub-BIRKHAUSER-BOSTON,
  address =      pub-BIRKHAUSER-BOSTON:adr,
  pages =        "xii + 729",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-0-8176-4968-5",
  ISBN =         "0-8176-4968-9 (e-book), 0-8176-4967-0",
  ISBN-13 =      "978-0-8176-4968-5 (e-book), 978-0-8176-4967-8",
  LCCN =         "QA39.3 .G87 2010eb",
  bibdate =      "Sun Jun 19 12:38:41 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Contemporary mathematicians",
  URL =          "http://public.eblib.com/EBLPublic/PublicView.do?ptiID=64586;
                 http://rave.ohiolink.edu/ebooks/ebc/978081764968;
                 http://site.ebrary.com/id/1042123",
  abstract =     "Published in honor of his 70th birthday, this volume
                 explores and celebrates the work of G. W. (Pete)
                 Stewart, a world-renowned expert in computational
                 linear algebra. This volume includes: forty-four of
                 Stewart's most influential research papers in two
                 subject areas: matrix algorithms, and rounding and
                 perturbation theory; a biography of Stewart; a complete
                 list of his publications, students, and honors;
                 selected photographs; and commentaries on his works in
                 collaboration with leading experts in the field. G. W.
                 Stewart: Selected Works with Commentaries will appeal
                 to graduate students, practitioners, and researchers in
                 computational linear algebra and the history of
                 mathematics.",
  acknowledgement = ack-nhfb,
  remark =       "Part 1: G. W. Stewart. Part 2: Commentaries. Part 3:
                 Reprints",
  subject =      "Mathematics",
  tableofcontents = "Foreword \\
                 Part I. G. W. Stewart \\
                 Biography of G. W. Stewart \\
                 Publications, Honors, and Students \\
                 Part II. Commentaries \\
                 Introduction to the Commentaries \\
                 Matrix Decompositions: LINPACK and Beyond \\
                 Updating and Downdating Matrix Decompositions \\
                 Least Squares, Projections, and Psuedo-Inverses \\
                 The Eigenproblem and Invariant Subspaces: Perturbation
                 Theory \\
                 The SVD, Eigenproblem, and Invariant Subspaces:
                 Algorithms \\
                 The Generalized Eigenproblem \\
                 Krylov Subspace Methods for the Eigenproblem \\
                 Other Contributions \\
                 References \\
                 Index \\
                 Part III. Reprints \\
                 Papers on Matrix Decompositions \\
                 Papers on Updating and Downdating Matrix Decompositions
                 \\
                 Papers on Least Squares, Projections, and Generalized
                 Inverses \\
                 Papers on the Eigenproblem and Invariant Subspaces:
                 Perturbation Theory \\
                 Papers on the SVD, Eigenproblem and Invariant
                 Subspaces: Algorithms \\
                 Papers on the Generalized Eigenproblem \\
                 Papers on Krylov Subspace Methods for the
                 Eigenproblem",
}

@Book{King:2010:NSM,
  author =       "Michael R. King and Nipa A. Mody",
  title =        "Numerical and statistical methods for bioengineering:
                 applications in {MATLAB}",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xii + 581",
  year =         "2010",
  ISBN =         "0-521-87158-1, 0-511-90984-5 (e-book)",
  ISBN-13 =      "978-0-521-87158-7, 978-0-511-90984-9 (e-book)",
  LCCN =         "R857.M34 K56 2010eb",
  bibdate =      "Tue May 27 12:31:06 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager;
                 z3950.loc.gov:7090/Voyager",
  series =       "Cambridge texts in biomedical engineering",
  URL =          "http://assets.cambridge.org/97805218/71587/cover/9780521871587.jpg;
                 http://site.ebrary.com//lib/yale/Doc?id=10431397",
  abstract =     "The first MATLAB-based numerical methods textbook for
                 bioengineers that uniquely integrates modelling
                 concepts with statistical analysis, while maintaining a
                 focus on enabling the user to report the error or
                 uncertainty in their result. Between traditional
                 numerical method topics of linear modelling concepts,
                 nonlinear root finding, and numerical integration,
                 chapters on hypothesis testing, data regression and
                 probability are interweaved. A unique feature of the
                 book is the inclusion of examples from clinical trials
                 and bioinformatics, which are not found in other
                 numerical methods textbooks for engineers. With a
                 wealth of biomedical engineering examples, case studies
                 on topical biomedical research, and the inclusion of
                 end of chapter problems, this is a perfect core text
                 for a one-semester undergraduate course",
  acknowledgement = ack-nhfb,
  subject =      "Biomedical engineering; Statistical methods;
                 Mathematics; MATLAB; TECHNOLOGY and ENGINEERING;
                 Biomedical.; MEDICAL; Family and General Practice.;
                 Allied Health Services; Medical Technology.;
                 Biotechnology.; Lasers in Medicine.",
  tableofcontents = "1. Types and sources of numerical error \\
                 2. Systems of linear equations \\
                 3. Statistics and probability \\
                 4. Hypothesis testing \\
                 5. Root finding techniques for nonlinear equations \\
                 6. Numerical quadrature \\
                 7. Numerical integration of ordinary differential
                 equations \\
                 8. Nonlinear data regression and optimization \\
                 9. Basic algorithms of bioinformatics \\
                 Appendix A. Introduction to MATLAB \\
                 Appendix B. Location of nodes for Gauss-Legendre
                 quadrature",
}

@Book{Kiusalaas:2010:NMEa,
  author =       "Jaan Kiusalaas",
  title =        "Numerical methods in engineering with {MATLAB\reg}",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  edition =      "Second",
  pages =        "xi + 431",
  year =         "2010",
  ISBN =         "0-521-19133-5 (hardback)",
  ISBN-13 =      "978-0-521-19133-3 (hardback)",
  LCCN =         "TA345 .K58 2010",
  MRclass =      "65-01",
  MRnumber =     "2554310",
  bibdate =      "Tue May 27 12:10:06 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 melvyl.cdlib.org:210/CDL90;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "Numerical Methods in Engineering with MATLAB is a text
                 for engineering students and a reference for practicing
                 engineers. The choice of numerical methods was based on
                 their relevance to engineering problems. Every method
                 is discussed thoroughly and illustrated with problems
                 involving both hand computation and programming. MATLAB
                 M-files accompany each method and are available on the
                 book website. This code is made simple and easy to
                 understand by avoiding complex book-keeping schemes,
                 while maintaining the essential features of the method.
                 MATLAB was chosen as the example language because of
                 its ubiquitous use in engineering studies and practice.
                 This new edition includes the new MATLAB anonymous
                 functions, which allow the programmer to embed
                 functions into the program rather than storing them as
                 separate files. Other changes include the addition of
                 rational function interpolation in Chapter 3, the
                 addition of Ridder's method in place of Brent's method
                 in Chapter 4, and the addition of downhill simplex
                 method in place of the Fletcher--Reeves method of
                 optimization in Chapter 10.",
  acknowledgement = ack-nhfb,
  subject =      "MATLAB; Engineering mathematics; Data processing;
                 Numerical analysis",
  tableofcontents = "Introduction to MATLAB \\
                 Systems of linear algebraic equations \\
                 Interpolation and curve fitting \\
                 Roots of equations \\
                 Numerical differentiation \\
                 Numerical integration \\
                 Initial value problems \\
                 Two-point boundary value problems \\
                 Symmetric matrix eigenvalue problems \\
                 Introduction to optimization",
}

@Book{Kiusalaas:2010:NMEb,
  author =       "Jaan Kiusalaas",
  title =        "Numerical methods in engineering with {Python}",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  edition =      "Second",
  pages =        "x + 422",
  year =         "2010",
  ISBN =         "0-521-19132-7 (hardcover), 0-511-67694-8 (e-book)",
  ISBN-13 =      "978-0-521-19132-6 (hardcover), 978-0-511-67694-9
                 (e-book)",
  LCCN =         "TA345 .K584 2010",
  bibdate =      "Mon Jan 31 15:16:50 MST 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/python.bib;
                 melvyl.cdlib.org:210/CDL90;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Python (computer program language); MATLAB;
                 engineering mathematics; data processing; numerical
                 analysis; Python (Computer program language);
                 Engineering mathematics; Data processing; Numerical
                 analysis; Engineering; Civil engineering; Data
                 processing.; Python (Computer program language)",
  tableofcontents = "Cover \\
                 Half-title \\
                 Title \\
                 Copyright \\
                 Contents \\
                 Preface to the First Edition \\
                 Preface to the Second Edition \\
                 1 Introduction to Python \\
                 2 Systems of Linear Algebraic Equations \\
                 3 Interpolation and Curve Fitting \\
                 4 Roots of Equations \\
                 5 Numerical Differentiation \\
                 6 Numerical Integration \\
                 7 Initial Value Problems \\
                 8 Two-Point Boundary Value Problems \\
                 9 Symmetric Matrix Eigenvalue Problems \\
                 10 Introduction to Optimization \\
                 Appendices \\
                 List of Program Modules (by Chapter) \\
                 Index",
}

@Book{Kurzak:2010:SCM,
  editor =       "Jakub Kurzak and David A. Bader and J. J. Dongarra",
  title =        "Scientific computing with multicore and accelerators",
  volume =       "10",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xxxiii + 480",
  year =         "2010",
  ISBN =         "1-4398-2536-X (hardback)",
  ISBN-13 =      "978-1-4398-2536-5 (hardback)",
  LCCN =         "Q183.9 .S325 2010",
  bibdate =      "Fri Nov 16 06:29:59 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Chapman and Hall/CRC computational science",
  acknowledgement = ack-nhfb,
  subject =      "Science; Data processing; Engineering; High
                 performance computing; Multiprocessors; MATHEMATICS /
                 General; MATHEMATICS / Advanced; MATHEMATICS / Number
                 Systems",
}

@Book{Lange:2010:NAS,
  author =       "Kenneth Lange",
  title =        "Numerical analysis for statisticians",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xvi + 604",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-1-4419-5945-4",
  ISBN =         "1-4419-5944-0 (hardcover)",
  ISBN-13 =      "978-1-4419-5944-7 (hardcover)",
  LCCN =         "QA297 .L34 2010",
  bibdate =      "Mon Aug 23 10:50:36 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Statistics and Computing",
  acknowledgement = ack-nhfb,
  subject =      "mathematical statistics; statistics",
}

@Book{Magoules:2010:FGC,
  editor =       "F. (Fr{\'e}d{\'e}ric) Magoul{\`e}s",
  title =        "Fundamentals of grid computing: theory, algorithms and
                 technologies",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xxi + 298",
  year =         "2010",
  ISBN =         "1-4398-0367-6 (hardcover)",
  ISBN-13 =      "978-1-4398-0367-7 (hardcover)",
  LCCN =         "QA76.9.C58 F86 2010",
  bibdate =      "Mon Aug 23 11:06:01 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Chapman and Hall/CRC numerical analysis and scientific
                 computing",
  acknowledgement = ack-nhfb,
  subject =      "computational grids (computer systems)",
}

@Book{Moin:2010:FEN,
  author =       "Parviz Moin",
  title =        "Fundamentals of engineering numerical analysis",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  edition =      "Second",
  pages =        "xiv + 241",
  year =         "2010",
  ISBN =         "0-521-88432-2 (hardcover), 0-521-71123-1",
  ISBN-13 =      "978-0-521-88432-7 (hardcover), 978-0-521-71123-4",
  LCCN =         "TA335 .M65 2010",
  MRclass =      "65-01",
  MRnumber =     "2721984 (2011j:65001)",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "Publisher's note: Since the original publication of
                 this book, available computer power has increased
                 greatly. Today, scientific computing is playing an ever
                 more prominent role as a tool in scientific discovery
                 and engineering analysis. In this second edition, the
                 key addition is an introduction to the finite element
                 method. This is a widely used technique for solving
                 partial differential equations (PDEs) in complex
                 domains. This text introduces numerical methods and
                 shows how to develop, analyze, and use them. Complete
                 MATLAB programs for all the worked examples are now
                 available at www.cambridge.org/Moin, and more than 30
                 exercises have been added. This thorough and practical
                 book is intended as a first course in numerical
                 analysis, primarily for new graduate students in
                 engineering and physical science. Along with mastering
                 the fundamentals of numerical methods, students will
                 learn to write their own computer programs using
                 standard numerical methods.",
  acknowledgement = ack-nhfb,
  subject =      "engineering mathematics; numerical analysis",
  tableofcontents = "1. Interpolation \\
                 2. Numerical differentiation - finite differences \\
                 3. Numerical integration \\
                 4. Numerical solution of ordinary differential
                 equations \\
                 5. Numerical solution of partial differential equations
                 \\
                 6. Discrete transform methods \\
                 Appendix. A review of linear algebra",
}

@Book{Oberkampf:2010:VVS,
  author =       "William L. Oberkampf and Christopher J. Roy",
  title =        "Verification and validation in scientific computing",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "????",
  year =         "2010",
  ISBN =         "0-521-11360-1",
  ISBN-13 =      "978-0-521-11360-1",
  LCCN =         "Q183.9 .O24 2010",
  bibdate =      "Tue Apr 26 08:20:49 MDT 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://assets.cambridge.org/97805211/13601/cover/9780521113601.jpg",
  abstract =     "Advances in scientific computing have made modelling
                 and simulation an important part of the decision-making
                 process in engineering, science, and public policy.
                 This book provides a comprehensive and systematic
                 development of the basic concepts, principles, and
                 procedures for verification and validation of models
                 and simulations. The emphasis is placed on models that
                 are described by partial differential and integral
                 equations and the simulations that result from their
                 numerical solution. The methods described can be
                 applied to a wide range of technical fields, from the
                 physical sciences, engineering and technology and
                 industry, through to environmental regulations and
                 safety, product and plant safety, financial investing,
                 and governmental regulations. This book will be
                 genuinely welcomed by researchers, practitioners, and
                 decision makers in a broad range of fields, who seek to
                 improve the credibility and reliability of simulation
                 results. It will also be appropriate either for
                 university courses or for independent study",
  acknowledgement = ack-nhfb,
  remark =       "Exchanges between the book's authors and members of
                 the reliable\_computing mailing list in early May 2011
                 discuss the extent to which this book is, or is not,
                 about interval arithmetic.",
  subject =      "Science \\
                 Data processing \\
                 Numerical calculations \\
                 Verification \\
                 Computer programs \\
                 Validation \\
                 Decision making \\
                 Mathematical models",
  tableofcontents = "Preface \\
                 1. Introduction \\
                 Part I. Fundamental Concepts: \\
                 2. Fundamental concepts and terminology \\
                 3. Modeling and computational simulation \\
                 Part II. Code Verification: \\
                 4. Software engineering \\
                 5. Code verification \\
                 6. Exact solutions \\
                 Part III. Solution Verification: \\
                 7. Solution verification \\
                 8. Discretization error \\
                 9. Solution adaptation \\
                 Part IV. Model Validation and Prediction: \\
                 10. Model validation fundamentals \\
                 11. Design and execution of validation experiments \\
                 12. Model accuracy assessment \\
                 13. Predictive capability \\
                 Part V. Planning, Management, and Implementation
                 Issues: \\
                 14. Planning and prioritization in modeling and
                 simulation \\
                 15. Maturity assessment of modeling and simulation \\
                 16. Development and responsibilities for verification,
                 validation and uncertainty quantification \\
                 Appendix. Programming practices \\
                 Index",
}

@Book{Onate:2010:SAF,
  author =       "Eugenio O{\~n}ate",
  title =        "Structural analysis with the finite element method:
                 linear statistics",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xxiv + 472",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-1-4020-8733-2",
  ISBN =         "1-4020-8733-0",
  ISBN-13 =      "978-1-4020-8733-2",
  LCCN =         "TA347.F5 O63 2009",
  bibdate =      "Mon Aug 23 11:24:08 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Lecture notes on numerical methods in engineering and
                 sciences.",
  acknowledgement = ack-nhfb,
  remark =       "Volume 1: The basis and solids. Volume 2: Beams,
                 plates and shells",
  subject =      "Finite element method; Structural analysis
                 (Engineering)",
}

@Book{Quarteroni:2010:SCM,
  author =       "Alfio Quarteroni and Fausto Saleri and Paola
                 Gervasio",
  title =        "Scientific computing with {Matlab} and {Octave}",
  volume =       "2",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 360",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-12430-3",
  ISBN =         "3-642-12429-1",
  ISBN-13 =      "978-3-642-12429-7",
  LCCN =         "????",
  MRclass =      "65-01",
  MRnumber =     "2680972",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Third edition [of MR2253397]",
  series =       "Texts in Computational Science and Engineering",
  acknowledgement = ack-nhfb,
}

@Book{Robert:2010:IMC,
  author =       "Christian P. Robert and George Casella",
  title =        "Introducing {Monte} {Carlo} methods with {R}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xix + 283",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-1-4419-1576-4",
  ISBN =         "1-4419-1575-3 (paperback), 1-4419-1576-1 (ebk.)",
  ISBN-13 =      "978-1-4419-1575-7 (paperback), 978-1-4419-1576-4
                 (ebk.)",
  LCCN =         "QA298 .R63 2010",
  MRclass =      "65-01 (65C05)",
  MRnumber =     "2572239",
  bibdate =      "Tue May 27 12:31:49 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Use R!",
  acknowledgement = ack-nhfb,
  subject =      "Monte Carlo method; Computer programs; Mathematical
                 statistics; Data processing; R (Computer program
                 language); Markov processes; Mathematical Computing;
                 Monte Carlo-methode.; R (computerprogramma);
                 Monte-Carlo-Simulation.; R (Programm)",
}

@Book{Trappenberg:2010:FCN,
  author =       "Thomas P. Trappenberg",
  title =        "Fundamentals of computational neuroscience",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  edition =      "Second",
  pages =        "xxv + 390",
  year =         "2010",
  ISBN =         "0-19-956841-3 (paperback)",
  ISBN-13 =      "978-0-19-956841-3 (paperback)",
  LCCN =         "QP357.5 .T746 2010",
  bibdate =      "Mon Jan 31 15:17:33 MST 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 melvyl.cdlib.org:210/CDL90;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "Computational neuroscience is the theoretical study of
                 the brain to uncover the principles and mechanisms that
                 guide the development, organization, information
                 processing, and mental functions of the nervous system.
                 Although not a new area, it is only recently that
                 enough knowledge has been gathered to establish
                 computational neuroscience as a scientific discipline
                 in its own right. Given the complexity of the field,
                 and its increasing importance in progressing our
                 understanding of how the brain works, there has long
                 been a need for an introductory text on what is often
                 assumed to be an impenetrable topic. The new edition of
                 Fundamentals of Computational Neuroscience build on the
                 success and strengths of the first edition. It
                 introduces the theoretical foundations of neuroscience
                 with a focus on the nature of information processing in
                 the brain. The book covers the introduction and
                 motivation of simplified models of neurons that are
                 suitable for exploring information processing in large
                 brain-like networks. Additionally, it introduces
                 several fundamental network architectures and discusses
                 their relevance for information processing in the
                 brain, giving some examples of models of higher-order
                 cognitive functions to demonstrate the advanced insight
                 that can be gained with such studies. Each chapter
                 starts by introducing its topic with experimental facts
                 and conceptual questions related to the study of brain
                 function. An additional feature is the inclusion of
                 simple Matlab programs that can be used to explore many
                 of the mechanisms explained in the book. An
                 accompanying webpage includes programs for download.
                 The book is aimed at those within the brain and
                 cognitive sciences, from graduate level and upwards.",
  acknowledgement = ack-nhfb,
  subject =      "Computational neuroscience; Neurons; physiology;
                 Brain; Computational Biology; methods; Models,
                 Neurological; Nerve Net; Neurosciences",
  tableofcontents = "Introduction \\
                 Basic Nuerons \\
                 Neurons and conductance-based models \\
                 Simplified neuron and population models \\
                 Associators and synaptic plasticity \\
                 Basic Networks \\
                 Cortical organizations and simple networks \\
                 Feed-forward mapping networks \\
                 Cortical feature maps and competitive population coding
                 \\
                 Recurrent associative networks and episodic memory \\
                 System-Level Models \\
                 Modular networks, motor control, and reinforcement
                 learning \\
                 The cognitive brain \\
                 Some useful mathematics \\
                 Numerical calculus \\
                 Basic probability theory \\
                 Basic information theory \\
                 A brief introduction to MATLAB",
}

@Book{Tveito:2010:ESC,
  author =       "Aslak Tveito and Hans Petter Langtangen and Bj{\o}rn
                 Frederik Nielsen and Xing Cai",
  title =        "Elements of scientific computing: with 88 figures and
                 18 tables",
  volume =       "7",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xii + 459",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-11299-7",
  ISBN =         "3-642-11298-6",
  ISBN-13 =      "978-3-642-11298-0, 978-3-642-11299-7 (eISBN)",
  ISSN =         "1611-0994",
  LCCN =         "Q183.9 .E446 2010",
  MRclass =      "65-01",
  MRnumber =     "2723363",
  bibdate =      "Tue May 27 12:08:24 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Texts in Computational Science and Engineering",
  acknowledgement = ack-nhfb,
  subject =      "Science; Data processing; Numerical analysis",
  tableofcontents = "Computing integrals \\
                 Differential equations: the first steps \\
                 Systems of ordinary differential equations \\
                 Nonlinear algebraic equations \\
                 Method of least squares \\
                 About scientific software \\
                 Diffusion equation \\
                 Analysis of the diffusion equation \\
                 Parameter estimation and inverse problems \\
                 Glimpse of parallel computing",
}

@Book{VanLoan:2010:ITC,
  author =       "Charles F. {Van Loan} and K.-Y. Daisy Fan",
  title =        "Insight through computing: a {MATLAB} introduction to
                 computational science and engineering",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xviii + 434",
  year =         "2010",
  ISBN =         "0-89871-691-8",
  ISBN-13 =      "978-0-89871-691-7",
  LCCN =         "QA297 .V25 2010",
  bibdate =      "Fri Nov 16 10:03:00 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/java2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.loc.gov/catdir/enhancements/fy1007/2009030277-b.html;
                 http://www.loc.gov/catdir/enhancements/fy1007/2009030277-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1007/2009030277-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis; Data processing; Science; Computer
                 simulation; Engineering mathematics; MATLAB",
  tableofcontents = "Preface \\
                 MATLAB glossary \\
                 Programming topics \\
                 Software \\
                 1. From formula to program \\
                 2. Limits and error \\
                 3. Approximation with fractions \\
                 4. The discrete versus the continuous \\
                 5. Abstraction \\
                 6. Randomness \\
                 7. The second dimension \\
                 8. Reordering \\
                 9. Search \\
                 10. Points, polygons and circles \\
                 11. Text file processing \\
                 12. The matrix: part II \\
                 13. Acoustic file processing \\
                 14. Divide and conquer \\
                 15. Optimization \\
                 Appendix A. Refined graphics \\
                 Appendix B. Mathematical facts \\
                 Appendix C. MATLAB, Java, and C \\
                 Appendix D. Exit interview \\
                 Index",
}

@Book{Watkins:2010:FMC,
  author =       "David S. Watkins",
  title =        "Fundamentals of Matrix Computations",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  edition =      "Third",
  pages =        "xvi + 644",
  year =         "2010",
  ISBN =         "0-470-52833-8 (hardcover)",
  ISBN-13 =      "978-0-470-52833-4 (hardcover)",
  LCCN =         "QA188 .W38 2010",
  MRclass =      "65-01 (65Fxx)",
  MRnumber =     "2778339 (2012a:65002)",
  bibdate =      "Tue May 27 12:31:46 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Pure and applied mathematics.",
  acknowledgement = ack-nhfb,
  subject =      "Matrices",
}

@Book{Ascher:2011:FCN,
  author =       "Uri M. (Uri M.) Ascher and Chen Greif",
  title =        "A first course in numerical methods",
  volume =       "7",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xxii + 552",
  year =         "2011",
  DOI =          "http://dx.doi.org/10.1137/1.9780898719987",
  ISBN =         "0-89871-997-6",
  ISBN-13 =      "978-0-89871-997-0",
  LCCN =         "QA297 .A748 2011",
  MRclass =      "65-01",
  MRnumber =     "2839122",
  bibdate =      "Tue May 27 12:30:46 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager;
                 z3950.gbv.de:20011/gvk; z3950.loc.gov:7090/Voyager",
  series =       "Computational science and engineering",
  URL =          "http://catdir.loc.gov/catdir/enhancements/fy1111/2011007041-b.html;
                 http://catdir.loc.gov/catdir/enhancements/fy1111/2011007041-d.html;
                 http://catdir.loc.gov/catdir/enhancements/fy1111/2011007041-t.html;
                 http://dx.doi.org/10.1137/1.9780898719987;
                 http://www.loc.gov/catdir/enhancements/fy1111/2011007041-b.html;
                 http://www.loc.gov/catdir/enhancements/fy1111/2011007041-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1111/2011007041-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Numerical calculations; Data processing; Numerical
                 analysis; Algorithms",
  tableofcontents = "Numerical algorithms \\
                 Roundoff errors \\
                 Nonlinear equations in one variable \\
                 Linear algebra background \\
                 Linear systems: direct methods \\
                 Linear least squares problems \\
                 Linear systems: iterative methods \\
                 Eigenvalues and singular values \\
                 Nonlinear systems and optimization \\
                 Polynomial interpolation \\
                 Piecewise polynomial interpolation \\
                 Best approximation \\
                 Fourier transform \\
                 Numerical differentiation \\
                 Numerical integration \\
                 Differential equations",
}

@Book{Babuska:2011:FEI,
  author =       "Ivo Babu{\v{s}}ka and J. R. (John Robert) Whiteman and
                 Theofanis Strouboulis",
  title =        "Finite elements: an introduction to the method and
                 error estimation",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xii + 323",
  year =         "2011",
  ISBN =         "0-19-850670-8",
  ISBN-13 =      "978-0-19-850670-6",
  LCCN =         "QA276.8 .B33X 2011",
  bibdate =      "Tue May 27 12:30:44 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager;
                 z3950.loc.gov:7090/Voyager",
  note =         "An introduction to the method and error estimation",
  URL =          "http://www.loc.gov/catdir/enhancements/fy1108/2010033235-b.html;
                 http://www.loc.gov/catdir/enhancements/fy1108/2010033235-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1108/2010033235-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Finite element method; Estimation theory; Error
                 analysis (Mathematics)",
}

@Book{Bailey:2011:PTS,
  editor =       "David H. Bailey and Robert F. Lucas and Samuel Watkins
                 Williams",
  title =        "Performance tuning of scientific applications",
  volume =       "11",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "????",
  year =         "2011",
  ISBN =         "1-4398-1569-0 (hardback)",
  ISBN-13 =      "978-1-4398-1569-4 (hardback)",
  LCCN =         "Q183.9 .P47 2011",
  bibdate =      "Thu Nov 15 17:15:34 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Chapman and Hall/CRC computational science",
  abstract =     "This book presents an overview of recent research and
                 applications in computer system performance for
                 scientific and high performance computing. After a
                 brief introduction to the field of scientific computer
                 performance, the text provides comprehensive coverage
                 of performance measurement and tools, performance
                 modeling, and automatic performance tuning. It also
                 includes performance tools and techniques for
                 real-world scientific applications. Various chapters
                 address such topics as performance benchmarks, hardware
                 performance counters, the PMaC modeling system, source
                 code-based performance modeling, climate modeling
                 codes, automatic tuning with ATLAS, and much more.",
  acknowledgement = ack-nhfb,
  subject =      "Science; Data processing; Evaluation; Electronic
                 digital computers; System design; Computer programs;
                 COMPUTERS / Computer Engineering; MATHEMATICS /
                 Advanced; MATHEMATICS / Number Systems",
}

@Book{Banerjee:2011:LAM,
  author =       "Sudipto Banerjee and Anindya Roy",
  title =        "Linear Algebra and Matrix Analysis for Statistics",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xvii + 565",
  year =         "2011",
  ISBN =         "1-4200-9538-2 (hardback)",
  ISBN-13 =      "978-1-4200-9538-8 (hardback)",
  LCCN =         "QA184.2 .B36 2014",
  bibdate =      "Mon Sep 15 18:16:29 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Chapman and Hall/CRC texts in statistical science
                 series",
  URL =          "http://images.tandf.co.uk/common/jackets/websmall/978142009/9781420095388.jpg",
  abstract =     "Linear algebra and the study of matrix algorithms have
                 become fundamental to the development of statistical
                 models. Using a vector-space approach, this book
                 provides an understanding of the major concepts that
                 underlie linear algebra and matrix analysis. Each
                 chapter introduces a key topic, such as
                 infinite-dimensional spaces, and provides illustrative
                 examples. The authors examine recent developments in
                 diverse fields such as spatial statistics, machine
                 learning, data mining, and social network analysis.
                 Complete in its coverage and accessible to students
                 without prior knowledge of linear algebra, the text
                 also includes results that are useful for traditional
                 statistical applications.",
  acknowledgement = ack-nhfb,
  subject =      "Algebras, Linear; Matrices; Mathematical statistics;
                 MATHEMATICS / Algebra / General.; MATHEMATICS /
                 Probability and Statistics / General.; Algebras,
                 Linear.; Mathematical statistics.; Matrices.",
}

@Book{Borwein:2011:IMM,
  author =       "Jonathan M. Borwein and Matthew P. Skerritt",
  title =        "An introduction to modern mathematical computing",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 216",
  year =         "2011",
  DOI =          "http://dx.doi.org/10.1007/978-1-4614-0122-3",
  ISBN =         "1-4614-0121-6",
  ISBN-13 =      "978-1-4614-0121-6",
  MRclass =      "65-01 (15-01 26-01 68-01)",
  MRnumber =     "2808248",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  note =         "With Maple$ {^{}{\rm {T}}M} $",
  series =       "Springer Undergraduate Texts in Mathematics and
                 Technology",
  acknowledgement = ack-nhfb,
}

@Book{Chen:2011:FEM,
  author =       "Zhangxin Chen",
  title =        "The finite element method: its fundamentals and
                 applications in engineering",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xxi + 326",
  year =         "2011",
  ISBN =         "981-4350-56-7 (hardcover), 981-4350-57-5 (paperback)",
  ISBN-13 =      "978-981-4350-56-3 (hardcover), 978-981-4350-57-0
                 (paperback)",
  LCCN =         "TA347.F5 C467 2011",
  MRclass =      "65-01 (65M60 65N30)",
  MRnumber =     "2985965",
  MRreviewer =   "Tsu-Fen Chen",
  bibdate =      "Tue May 27 12:31:40 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Its fundamentals and applications in engineering",
  acknowledgement = ack-nhfb,
  subject =      "Finite element method; Problems, exercises, etc;
                 Engineering mathematics; Finite-Elemente-Methode.",
}

@Book{Cohen:2011:NAM,
  author =       "Harold Cohen",
  title =        "Numerical approximation methods",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiv + 485",
  year =         "2011",
  DOI =          "http://dx.doi.org/10.1007/978-1-4419-9837-8",
  ISBN =         "1-4419-9836-5",
  ISBN-13 =      "978-1-4419-9836-1",
  MRclass =      "65-01",
  MRnumber =     "2883150",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  acknowledgement = ack-nhfb,
}

@Book{Davies:2011:FEM,
  author =       "Alan J. Davies",
  title =        "The finite element method: an introduction with
                 partial differential equations",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  edition =      "Second",
  pages =        "ix + 297",
  year =         "2011",
  ISBN =         "0-19-960913-6",
  ISBN-13 =      "978-0-19-960913-0",
  LCCN =         "TA347.F5 D38 2011",
  MRclass =      "65-01 (65M60 65N30)",
  MRnumber =     "3087393",
  bibdate =      "Tue May 27 12:31:39 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "An introduction with partial differential equations",
  URL =          "http://www.loc.gov/catdir/enhancements/fy1211/2011022386-b.html;
                 http://www.loc.gov/catdir/enhancements/fy1211/2011022386-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1211/2011022386-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Finite element method",
}

@Book{Davis:2011:MP,
  author =       "Timothy A. Davis",
  title =        "{MATLAB} primer",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  edition =      "Eighth",
  pages =        "xvi + 232",
  year =         "2011",
  ISBN =         "1-4398-2862-8",
  ISBN-13 =      "978-1-4398-2862-5",
  LCCN =         "QA297 .D38 2011",
  bibdate =      "Mon Jan 31 14:24:46 MST 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "MATLAB; Numerical analysis; Data processing",
}

@Book{Deuflhard:2011:NM,
  author =       "Peter Deuflhard and Martin Weiser",
  title =        "{Numerische Mathematik 3} ({German}) [{Numerical}
                 mathematics 3]",
  publisher =    pub-GRUYTER,
  address =      pub-GRUYTER:adr,
  pages =        "x + 432",
  year =         "2011",
  ISBN =         "3-11-021802-X",
  ISBN-13 =      "978-3-11-021802-2",
  MRclass =      "65-01 (65M06 65M50 65M60 65N06 65N30 65N50)",
  MRnumber =     "2779847 (2012a:65001)",
  MRreviewer =   "Othmar Koch",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  note =         "Adaptive L{\"o}sung partieller
                 Differentialgleichungen. [Adaptive solutions of partial
                 differential equations]",
  series =       "de Gruyter Lehrbuch [de Gruyter Textbook]",
  acknowledgement = ack-nhfb,
  language =     "German",
}

@Book{Fiedler:2011:MGG,
  author =       "Miroslav Fiedler",
  title =        "Matrices and Graphs in Geometry",
  volume =       "139",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "viii + 197",
  year =         "2011",
  ISBN =         "0-521-46193-6",
  ISBN-13 =      "978-0-521-46193-1",
  LCCN =         "QA447 .F45 2011",
  bibdate =      "Tue Feb 7 16:22:53 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/linala2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Encyclopedia of Mathematics and its Applications",
  URL =          "http://assets.cambridge.org/97805214/61931/cover/9780521461931.jpg;
                 http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-b.html;
                 http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-d.html;
                 http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-t.html",
  abstract =     "Simplex geometry is a topic generalizing geometry of
                 the triangle and tetrahedron. The appropriate tool for
                 its study is matrix theory, but applications usually
                 involve solving huge systems of linear equations or
                 eigenvalue problems, and geometry can help in
                 visualizing the behaviour of the problem. In many
                 cases, solving such systems may depend more on the
                 distribution of non-zero coefficients than on their
                 values, so graph theory is also useful. The author has
                 discovered a method that in many (symmetric) cases
                 helps to split huge systems into smaller parts. Many
                 readers will welcome this book, from undergraduates to
                 specialists in mathematics, as well as non-specialists
                 who only use mathematics occasionally, and anyone who
                 enjoys geometric theorems. It acquaints the reader with
                 basic matrix theory, graph theory and elementary
                 Euclidean geometry so that they too can appreciate the
                 underlying connections between these various areas of
                 mathematics and computer science.\par

                 This book comprises, in addition to auxiliary material,
                 the research on which I have worked for the past more
                 than 50 years. Some of the results appear here for the
                 first time. The impetus for writing the book came from
                 the late Victor Klee, after my talk in Minneapolis in
                 1991. The main subject is simplex geometry, a topic
                 which fascinated me from my student times, caused, in
                 fact, by the richness of triangle and tetrahedron
                 geometry on one side and matrix theory on the other
                 side. A large part of the content is concerned with
                 qualitative properties of a simplex. This can be
                 understood as studying not just relations of equalities
                 but also inequalities. It seems that this direction is
                 starting to have important consequences in practical
                 (and important) applications, such as finite element
                 methods.",
  acknowledgement = ack-nhfb,
  subject =      "Geometry; Matrices; Graphic methods",
  tableofcontents = "Matricial approach to Euclidean geometry \\
                 Simplex geometry \\
                 Qualitative properties of the angles in a simplex ---
                 Special simplexes \\
                 Further geometric objects \\
                 Applications",
}

@Book{Galvis:2011:IAN,
  author =       "Juan Galvis and Henrique Versieux",
  title =        "Introdu{\c{c}}{\~a}o {\`a} aproxima{\c{c}}{\~a}o
                 num{\'e}rica de equa{\c{c}}{\~o}es diferenciais
                 parciais via o m{\'e}todo de elementos finitos.
                 ({Portuguese}) [{Introduction} to numerical
                 approximation of partial differential equations via the
                 finite-element method]",
  publisher =    "Instituto Nacional de Matem\'atica Pura e Aplicada
                 (IMPA)",
  address =      "Rio de Janeiro, Brasil",
  pages =        "91",
  year =         "2011",
  ISBN =         "85-244-0325-X",
  ISBN-13 =      "978-85-244-0325-5",
  MRclass =      "65-01 (65M60 65N30)",
  MRnumber =     "2816863 (2012f:65001)",
  MRreviewer =   "Carlos V{\'a}zquez Cend{\'o}n",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  note =         "28$ {^{}{\rm {o}}} $ Col{\'o}quio Brasileiro de
                 Matem{\'a}tica. [28th Brazilian Mathematics
                 Colloquium]",
  series =       "Publica\c c\~oes Matem\'aticas do IMPA. [IMPA
                 Mathematical Publications]",
  acknowledgement = ack-nhfb,
  language =     "Portuguese",
}

@Book{Gustafsson:2011:FSC,
  author =       "Bertil Gustafsson",
  title =        "Fundamentals of scientific computing",
  volume =       "8",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiv + 316",
  year =         "2011",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-19495-5",
  ISBN =         "3-642-19494-X",
  ISBN-13 =      "978-3-642-19494-8",
  MRclass =      "65-01",
  MRnumber =     "2808067",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Texts in Computational Science and Engineering",
  acknowledgement = ack-nhfb,
}

@Book{Hermann:2011:NM,
  author =       "Martin Hermann",
  title =        "Numerische {Mathematik}",
  publisher =    pub-OLDENBOURG,
  address =      pub-OLDENBOURG:adr,
  edition =      "Expanded",
  pages =        "xiv + 563",
  year =         "2011",
  ISBN =         "3-486-70820-1",
  ISBN-13 =      "978-3-486-70820-2",
  MRclass =      "65-01",
  MRnumber =     "2933531",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  acknowledgement = ack-nhfb,
}

@Book{Johnson:2011:EMS,
  author =       "Richard K. Johnson",
  title =        "The elements of {MATLAB} style",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "????",
  year =         "2011",
  ISBN =         "0-521-73258-1",
  ISBN-13 =      "978-0-521-73258-1",
  LCCN =         "QA76.73.M296 J64 2011",
  bibdate =      "Mon Jan 31 14:25:07 MST 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "A guide for MATLAB programmers that offers a
                 collection of standards and guidelines for creating
                 MATLAB code that will be easy to understand, enhance,
                 and maintain. Avoid doing things that would be an
                 unpleasant surprise to other software developers. The
                 interfaces and the behavior exhibited by your software
                 must be predictable and consistent. If they are not,
                 the documentation must clearly identify and justify any
                 unusual instances of use or behavior.",
  acknowledgement = ack-nhfb,
  subject =      "MATLAB; Computer programming; Computer software;
                 Quality control; Numerical analysis; Data processing",
  tableofcontents = "1. General principles \\
                 2. Formatting \\
                 3. Naming \\
                 4. Documentation \\
                 5. Programming \\
                 6. Files and organization \\
                 7. Development",
}

@Book{Kepner:2011:GAL,
  author =       "Jeremy V. Kepner and J. R. (John R.) Gilbert",
  title =        "Graph algorithms in the language of linear algebra",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xxvii + 361",
  year =         "2011",
  ISBN =         "0-89871-990-9 (hardcover)",
  ISBN-13 =      "978-0-89871-990-1 (hardcover)",
  LCCN =         "QA166.245 .K47 2011",
  bibdate =      "Fri Nov 16 09:38:48 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Software, environments, and tools",
  URL =          "http://www.loc.gov/catdir/enhancements/fy1113/2011003774-b.html;
                 http://www.loc.gov/catdir/enhancements/fy1113/2011003774-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1113/2011003774-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Graph algorithms; Algebras, Linear",
}

@Book{King:2011:NSM,
  author =       "Michael R. King and Nipa A. Mody",
  title =        "Numerical and statistical methods for bioengineering:
                 applications in {MATLAB}",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xii + 581",
  year =         "2011",
  ISBN =         "0-521-87158-1 (hardback)",
  ISBN-13 =      "978-0-521-87158-7 (hardback)",
  LCCN =         "R857.M34 K56 2011; R857.M34 K56X 2011 (LC)",
  MRclass =      "65-01 (62-01 62P10 92B05)",
  MRnumber =     "2767120",
  bibdate =      "Tue May 27 12:31:06 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  note =         "Applications in MATLAB",
  series =       "Cambridge Texts in Biomedical Engineering",
  abstract =     "The first MATLAB-based numerical methods textbook for
                 bioengineers that uniquely integrates modelling
                 concepts with statistical analysis, while maintaining a
                 focus on enabling the user to report the error or
                 uncertainty in their result. Between traditional
                 numerical method topics of linear modelling concepts,
                 nonlinear root finding, and numerical integration,
                 chapters on hypothesis testing, data regression and
                 probability are interweaved. A unique feature of the
                 book is the inclusion of examples from clinical trials
                 and bioinformatics, which are not found in other
                 numerical methods textbooks for engineers. With a
                 wealth of biomedical engineering examples, case studies
                 on topical biomedical research, and the inclusion of
                 end of chapter problems, this is a perfect core text
                 for a one-semester undergraduate course.\par

                 Cambridge Texts in Biomedical Engineering provides a
                 forum for high-quality accessible textbooks targeted at
                 undergraduate and graduate courses in biomedical
                 engineering. It will cover a broad range of biomedical
                 engineering topics from introductory texts to advanced
                 topics including, but not limited to, biomechanics,
                 physiology, biomedical instrumentation, imaging,
                 signals and systems, cell engineering, and
                 bioinformatics. The series will blend theory and
                 practice, aimed primarily at biomedical engineering
                 students but will be suitable for broader courses in
                 engineering, the life sciences and medicine",
  acknowledgement = ack-nhfb,
  subject =      "Biomedical engineering; Statistical methods;
                 Mathematics; MATLAB",
  tableofcontents = "1. Types and sources of numerical error \\
                 2. Systems of linear equations \\
                 3. Probability and statistics \\
                 4. Hypothesis testing \\
                 5. Root-finding techniques for nonlinear equations \\
                 6. Numerical quadrature \\
                 7. Numerical integration of ordinary differential
                 equations \\
                 8. Nonlinear data regression and optimization \\
                 9. Basic algorithms of bioinformatics \\
                 Appendix A. Introduction to MATLAB \\
                 Appendix B. Location of nodes for Gauss-Legendre
                 quadrature",
}

@Book{Klee:2011:SDS,
  author =       "Harold Klee and Randal Allen",
  title =        "Simulation of dynamic systems with {MATLAB\reg} and
                 {Simulink\reg}",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  edition =      "Second",
  pages =        "xix + 795",
  year =         "2011",
  ISBN =         "1-4398-3673-6 (hardback)",
  ISBN-13 =      "978-1-4398-3673-6 (hardback)",
  LCCN =         "QA76.9.C65 K585 2011",
  MRclass =      "65-01 (34-04 65Lxx 93-04)",
  MRnumber =     "2768103 (2011m:65001)",
  bibdate =      "Tue May 27 12:31:45 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "With a foreword by Chris Bauer and Chris Schwarz",
  abstract =     "``Employing the widely adopted MATLAB and Simulink
                 software packages, this book offers the scientific and
                 engineering communities integrated coverage of
                 continuous simulation and the essential prerequisites
                 in one resource. It also provides a complete
                 introduction to the Real-Time Workshop. The text takes
                 the reader through the process of converting a
                 mathematical model of a continuous or discrete system
                 into a simulation model and source code implementation,
                 which can be explored to better understand the dynamic
                 behavior of the system. The second edition addresses
                 common nonlinearities, expands coverage of the Kalman
                 filter, and features extensive treatment of numerical
                 parameters. \par

                 In the first article of SIMULATION magazine in Fall
                 1963, the editor John McLeod proclaimed simulation to
                 mean ''the act of representing some aspects of the real
                 world by numbers or symbols which may be easily
                 manipulated to facilitate their study.`` Two years
                 later, it was modified to ''the development and use of
                 models for the study of the dynamics of existing or
                 hypothesized systems.`` More than forty years later,
                 the simulation community has yet to converge upon a
                 universally accepted definition",
  acknowledgement = ack-nhfb,
  subject =      "Computer simulation; SIMULINK; MATLAB",
}

@Book{Monahan:2011:NMS,
  author =       "John F. Monahan",
  title =        "Numerical methods of statistics",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  edition =      "Second",
  pages =        "xvi + 447",
  year =         "2011",
  DOI =          "http://dx.doi.org/10.1017/CBO9780511977176",
  ISBN =         "0-521-13951-1 (paperback), 0-521-19158-0",
  ISBN-13 =      "978-0-521-13951-9 (paperback), 978-0-521-19158-6",
  LCCN =         "QA276.4 .M65 2011 (LC); QA276.4 .M65 2011",
  MRclass =      "65-01 (60-04 62-04 65C60)",
  MRnumber =     "2791641",
  bibdate =      "Tue May 27 12:30:59 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  series =       "Cambridge Series in Statistical and Probabilistic
                 Mathematics",
  acknowledgement = ack-nhfb,
  subject =      "Mathematical statistics; Data processing",
}

@Book{Nahin:2011:NCT,
  author =       "Paul J. Nahin",
  title =        "Number-crunching: taming unruly computational problems
                 from mathematical physics to science fiction",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "xxvi + 376",
  year =         "2011",
  ISBN =         "0-691-14425-7 (hardcover), 1-4008-3958-0 (e-book)",
  ISBN-13 =      "978-0-691-14425-2 (hardcover), 978-1-4008-3958-2
                 (e-book)",
  LCCN =         "QC20.7.E4 N34 2011",
  bibdate =      "Wed Oct 22 08:11:12 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.jstor.org/stable/10.2307/j.ctt7rk7v",
  abstract =     "How do technicians repair broken communications cables
                 at the bottom of the ocean without actually seeing
                 them? What's the likelihood of plucking a needle out of
                 a haystack the size of the Earth? And is it possible to
                 use computers to create a universal library of
                 everything ever written or every photo ever taken?
                 These are just some of the intriguing questions that
                 best-selling popular math writer Paul Nahin tackles in
                 Number-Crunching. Through brilliant math ideas and
                 entertaining stories, Nahin demonstrates how odd and
                 unusual math problems can be solved by bringing
                 together basic physics ideas and today's powerful
                 computers. Some of the outcomes discussed are so
                 counterintuitive they will leave readers astonished.
                 Nahin looks at how the art of number-crunching has
                 changed since the advent of computers, and how
                 high-speed technology helps to solve fascinating
                 conundrums such as the three-body, Monte Carlo,
                 leapfrog, and gambler's ruin problems. Along the way,
                 Nahin traverses topics that include algebra,
                 trigonometry, geometry, calculus, number theory,
                 differential equations, Fourier series, electronics,
                 and computers in science fiction. He gives historical
                 background for the problems presented, offers many
                 examples and numerous challenges, supplies MATLAB codes
                 for all the theories discussed, and includes detailed
                 and complete solutions.",
  acknowledgement = ack-nhfb,
  remark =       "A collection of challenging problems in mathematical
                 physics that roar like lions when attacked
                 analytically, but which purr like kittens when
                 confronted by a high-speed electronic computer and its
                 powerful scientific software (plus some speculations
                 for the future from science fiction).",
  subject =      "Mathematical physics; Data processing; Problems,
                 exercises, etc",
  tableofcontents = "Feynman meets Fermat \\
                 Just for fun: two quick number-crunching problems \\
                 Computers and mathematical physics \\
                 The astonishing problem of the hanging masses \\
                 The three-body problem and computers \\
                 Electrical circuit analysis and computers \\
                 The leapfrog problem \\
                 Science fiction: when computers become like us \\
                 A cautionary epilogue",
}

@Book{Naumann:2011:ADC,
  author =       "Uwe Naumann",
  title =        "The art of differentiating computer programs: an
                 introduction to algorithmic differentiation",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xviii + 340",
  year =         "2011",
  ISBN =         "1-61197-206-X",
  ISBN-13 =      "978-1-61197-206-1",
  LCCN =         "QA76.76.A98 N38 2011",
  bibdate =      "Fri Nov 16 09:54:38 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Software, environments, and tools",
  URL =          "http://www.loc.gov/catdir/enhancements/fy1201/2011032262-b.html;
                 http://www.loc.gov/catdir/enhancements/fy1201/2011032262-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1201/2011032262-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Computer programs; Automatic differentiations;
                 Sensitivity theory (Mathematics)",
}

@Book{Razavy:2011:HQM,
  author =       "Mohsen Razavy",
  title =        "{Heisenberg}'s quantum mechanics",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xix + 657",
  year =         "2011",
  ISBN =         "981-4304-11-5 (paperback), 981-4304-10-7",
  ISBN-13 =      "978-981-4304-11-5 (paperback), 978-981-4304-10-8",
  LCCN =         "QC174.12 .R39 2011",
  bibdate =      "Mon Nov 28 08:38:47 MST 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
                 http://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.gbv.de:20011/gvk",
  abstract =     "This book provides a detailed account of quantum
                 theory with a much greater emphasis on the Heisenberg
                 equations of motion and the matrix method. The book
                 features a deeper treatment of the fundamental concepts
                 such as the rules of constructing quantum mechanical
                 operators and the classical-quantal correspondence; the
                 exact and approximate methods based on the Heisenberg
                 equations; the determinantal approach to the scattering
                 theory and the LSZ reduction formalism where the latter
                 method is used to obtain the transition matrix. The
                 uncertainty relations for a number of different
                 observables are derived and discussed. A comprehensive
                 chapter on the quantization of systems with
                 nonlocalized interaction is included. Exact solvable
                 models, and approximate techniques for solution of
                 realistic many-body problems are also considered. The
                 book takes a unified look in the final chapter,
                 examining the question of measurement in quantum
                 theory, with an introduction to the Bell's
                 inequalities.",
  acknowledgement = ack-nhfb,
  tableofcontents = "1.1: The Lagrangian and the Hamilton Principle \\
                 1.2: Noether's Theorem \\
                 1.3: The Hamiltonian Formulation \\
                 1.4: Canonical Transformation \\
                 1.5: Action-Angle Variables \\
                 1.6: Poisson Brackets \\
                 1.7: Time Development of Dynamical Variables and
                 Poisson Brackets \\
                 1.8: Infinitesimal Canonical Transformation \\
                 1.9: Action Principle with Variable End Points \\
                 1.10: Symmetry and Degeneracy in Classical Dynamics \\
                 1.11: Closed Orbits and Accidental Degeneracy \\
                 1.12: Time-Dependent Exact Invariants \\
                 2.1: Equivalence of Wave and Matrix Mechanics \\
                 3.1: Vectors and Vector Spaces \\
                 3.2: Special Types of Operators \\
                 3.3: Vector Calculus for the Operators \\
                 3.4: Construction of Hermitian and Self-Adjoint
                 Operators \\
                 3.5: Symmetrization Rule \\
                 3.6: Weyl's Rule \\
                 3.7: Dirac's Rule \\
                 3.8: Von Neumann's Rules \\
                 3.9: Self-Adjoint Operators \\
                 3.10: Momentum Operator in a Curvilinear Coordinates
                 \\
                 3.11: Summation Over Normal Modes \\
                 4.1: The Uncertainty Principle \\
                 4.2: Application of the Uncertainty Principle for
                 Calculating Bound State Energies \\
                 4.3: Time-Energy Uncertainty Relation \\
                 4.4: Uncertainty Relations for Angular Momentum-Angle
                 Variables \\
                 4.5: Local Heisenberg Inequalities \\
                 4.6: The Correspondence Principle \\
                 4.7: Determination of the State of a System \\
                 5.1: Schwinger's Action Principle and Heisenberg's
                 equations of Motion \\
                 5.2: Nonuniqueness of the Commutation Relations \\
                 5.3: First Integrals of Motion \\
                 6.1: Galilean Invariance \\
                 6.2: Wave Equation and the Galilean Transformation \\
                 6.3: Decay Problem in Nonrelativistic Quantum Mechanics
                 and Mass Superselection Rule \\
                 6.4: Time-Reversal Invariance \\
                 6.5: Parity of a State \\
                 6.6: Permutation Symmetry \\
                 6.7: Lattice Translation \\
                 6.8: Classical and Quantum Integrability \\
                 6.9: Classical and Quantum Mechanical Degeneracies \\
                 7.1: Klein's Method \\
                 7.2: The Anharmonic Oscillator \\
                 7.3: The Double-Well Potential \\
                 7.4: Chasman's Method \\
                 7.5: Heisenberg's Equations of Motion for Impulsive
                 Forces \\
                 7.6: Motion of a Wave Packet \\
                 7.7: Heisenberg's and Newton's Equations of Motion \\
                 8.1: Energy Spectrum of the Two-Dimensional Harmonic
                 Oscillator \\
                 8.2: Exactly Solvable Potentials Obtained from
                 Heisenberg's Equation \\
                 8.3: Creation and Annihilation Operators \\
                 8.4: Determination of the Eigenvalues by Factorization
                 Method \\
                 8.5: A General Method for Factorization \\
                 8.6: Supersymmetry and Superpotential \\
                 8.7: Shape Invariant Potentials \\
                 8.8: Solvable Examples of Periodic Potentials \\
                 9.1: The Angular Momentum Operator \\
                 9.2: Determination of the Angular Momentum Eigenvalues
                 \\
                 9.3: Matrix Elements of Scalars and Vectors and the
                 Selection Rules \\
                 9.4: Spin Angular Momentum \\
                 9.5: Angular Momentum Eigenvalues Determined from the
                 Eigenvalues of Two Uncoupled Oscillators \\
                 9.6: Rotations in Coordinate Space and in Spin Space
                 \\
                 9.7: Motion of a Particle Inside a Sphere \\
                 Almost Degenerate Perturbation Theory \\
                 9.8: The Hydrogen Atom \\
                 9.9: Calculation of the Energy Eigenvalues Using the
                 Runge[-]Lenz Vector \\
                 9.10: Classical Limit of Hydrogen Atom \\
                 9.11: Self-Adjoint Ladder Operator \\
                 9.12: Self-Adjoint Ladder Operator tiff Angular
                 Momentum \\
                 9.13: Generalized Spin Operators \\
                 9.14: The Ladder Operator \\
                 10.1: Discrete-Time Formulation of the Heisenberg's
                 Equations of Motion \\
                 10.2: Quantum Tunneling Using Discrete-Time Formulation
                 \\
                 10.3: Determination of Eigenvalues from
                 Finite-Difference Equations \\
                 10.4: Systems with Several Degrees of Freedom \\
                 10.5: Weyl-Ordered Polynomials and Bender[-]Dunne
                 Algebra \\
                 10.6: Integration of the Operator Differential
                 Equations \\
                 10.7: Iterative Solution for Polynomial Potentials \\
                 10.8: Another Numerical Method for the Integration of
                 the Equations of Motion \\
                 10.9: Motion of a Wave Packet \\
                 11.1: Perturbation Theory Applied to the Problem of a
                 Quartic Oscillator \\
                 11.2: Degenerate Perturbation Theory \\
                 11.3: Almost Degenerate Perturbation Theory \\
                 11.4: van der Waals Interaction \\
                 11.5: Time-Dependent Perturbation Theory \\
                 11.6: The Adiabatic Approximation \\
                 11.7: Transition Probability to the First Order \\
                 12.1: WKB Approximation for Bound States \\
                 12.2: Approximate Determination of the Eigenvalues for
                 Nonpolynomial Potentials \\
                 12.3: Generalization of the Semiclassical Approximation
                 to Systems with N Degrees of Freedom \\
                 12.4: A Variational Method Based on Heisenberg's
                 Equation of Motion \\
                 12.5: Raleigh--Ritz Variational Principle \\
                 12.6: Tight-Binding Approximation \\
                 12.7: Heisenberg's Correspondence Principle \\
                 12.8: Bohr and Heisenberg Correspondence and the
                 Frequencies and Intensities of the Emitted Radiation
                 \\
                 13.1: Equations of Motion of Finite Order \\
                 13.2: Equation of Motion of Infinite Order \\
                 13.3: Classical Expression for the Energy \\
                 13.4: Energy Eigenvalues when the Equation of Motion is
                 of Infinite Order \\
                 14.1: Determinantal Method in Potential Scattering
                 14.2: Two Solvable Problems \\
                 14.3: Time-Dependent Scattering Theory \\
                 14.4: The Scattering Matrix \\
                 14.5: The Lippmann[-]Schwinger Equation \\
                 14.6: Analytical Properties of the Radial Wave Function
                 \\
                 14.7: The Jost Function \\
                 14.8: Zeros of the Jost Function and Bound Sates \\
                 14.9: Dispersion Relation \\
                 14.10: Central Local Potentials having Identical Phase
                 Shifts and Bound States \\
                 14.11: The Levinson Theorem \\
                 14.12: Number of Bound States for a Given Partial Wave
                 \\
                 14.13: Analyticity of the S-Matrix and the Principle of
                 Casuality \\
                 14.14: Resonance Scattering \\
                 14.15: The Born Series \\
                 14.16: Impact Parameter Representation of the
                 Scattering Amplitude \\
                 14.17: Determination of the Impact Parameter Phase
                 Shift from the Differential Cross Section \\
                 14.18: Elastic Scattering of Identical Particles \\
                 14.19: Transition Probability \\
                 14.20: Transition Probabilities for Forced Harmonic
                 Oscillator \\
                 15.1: Diffraction in Time \\
                 15.2: High Energy Scattering from an Absorptive Target
                 \\
                 16.1: The Aharonov--Bohm Effect \\
                 16.2: Time-Dependent Interaction \\
                 16.3: Harmonic Oscillator with Time-Dependent Frequency
                 \\
                 16.4: Heisenberg's Equations for Harmonic Oscillator
                 with Time-Dependent Frequency \\
                 16.5: Neutron Interferometry \\
                 16.6: Gravity-Induced Quantum Interference \\
                 16.7: Quantum Beats in Waveguides with Time-Dependent
                 Boundaries \\
                 16.8: Spin Magnetic Moment \\
                 16.9: Stern--Gerlach Experiment \\
                 16.10: Precession of Spin Magnetic Moment in a Constant
                 Magnetic Field \\
                 16.11: Spin Resonance \\
                 16.12: A Simple Model of Atomic Clock \\
                 16.13: Berry's Phase \\
                 17.1: Ground State of Two-Electron Atom \\
                 17.2: Hartree and Hartree-Fock Approximations \\
                 17.3: Second Quantization \\
                 17.4: Second-Quantized Formulation of the Many-Boson
                 Problem \\
                 17.5: Many-Fermion Problem \\
                 17.6: Pair Correlations Between Fermions \\
                 17.7: Uncertainty Relations for a Many-Fermion System
                 \\
                 17.8: Pair Correlation Function for Noninteracting
                 Bosons \\
                 17.9: Bogoliubov Transformation for a Many-Boson System
                 \\
                 17.10: Scattering of Two Quasi-Particles \\
                 17.11: Bogoliubov Transformation for Fermions
                 Interacting through Pairing Forces \\
                 17.12: Damped Harmonic Oscillator \\
                 18.1: Coherent State of the Radiation Field \\
                 18.2: Casimir Force \\
                 18.3: Casimir Force Between Parallel Conductors \\
                 18.4: Casimir Force in a Cavity with Conducting Walls
                 \\
                 19.1: Theory of Natural Line Width \\
                 19.2: The Lamb Shift \\
                 19.3: Heisenberg's Equations for Interaction of an Atom
                 with Radiation \\
                 20.1: EPR Experiment with Particles \\
                 20.2: Classical and Quantum Mechanical Operational
                 Concepts of Measurement \\
                 20.3: Collapse of the Wave Function \\
                 20.4: Quantum versus Classical Correlations",
}

@Book{Scott:2011:NA,
  author =       "L. Ridgway Scott",
  title =        "Numerical analysis",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "xiv + 325",
  year =         "2011",
  ISBN =         "0-691-14686-1 (hardcover)",
  ISBN-13 =      "978-0-691-14686-7 (hardcover)",
  LCCN =         "QA297 .S38 2011; QA297 .S393 2011",
  MRclass =      "65-01 (41A05 41A10)",
  MRnumber =     "2796928",
  bibdate =      "Tue May 27 12:30:57 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis",
  tableofcontents = "Ch. 1. Numerical algorithms \\
                 Ch. 2. Nonlinear equations \\
                 Ch. 3. Linear systems \\
                 Ch. 4. Direct solvers \\
                 Ch. 5. Vector spaces \\
                 Ch. 6. Operators \\
                 Ch. 7. Nonlinear systems \\
                 Ch. 8. Iterative methods \\
                 Ch. 9. Conjugate gradients \\
                 Ch. 10. Polynominal interpolation \\
                 Ch. 11. Chebyshev and Hermite interpolation \\
                 Ch. 12. Approximation theory \\
                 Ch. 13. Numerical quadrature \\
                 Ch. 14. Eigenvalue problems \\
                 Ch. 15. Eigenvalue algorithms \\
                 Ch. 16. Ordinary differential equations \\
                 Ch. 17. Higher-order ODE discretization methods \\
                 Ch. 18. Floating point \\
                 Ch. 19. Notation",
}

@Book{Stenger:2011:HSN,
  author =       "Frank Stenger",
  title =        "Handbook of Sinc Numerical Methods",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xx + 463",
  year =         "2011",
  ISBN =         "1-4398-2158-5 (hardback), 1-4398-2159-3 (e-book)",
  ISBN-13 =      "978-1-4398-2158-9 (hardback), 978-1-4398-2159-6
                 (e-book)",
  LCCN =         "QA372 .S8195 2010",
  bibdate =      "Mon Apr 21 17:35:42 2014",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Chapman and Hall/CRC numerical analysis and scientific
                 computation series",
  URL =          "http://www.crcpress.com/product/isbn/9781439821589",
  ZMnumber =     "Zbl 1208.65143",
  abstract =     "This handbook is essential for solving numerical
                 problems in mathematics, computer science, and
                 engineering. The methods presented are similar to
                 finite elements but more adept at solving analytic
                 problems with singularities over irregularly shaped yet
                 analytically described regions. The author makes sinc
                 methods accessible to potential users by limiting
                 details as to how or why these methods work. From
                 calculus to partial differential and integral
                 equations, the book can be used to approximate almost
                 every type of operation. It includes more than 470
                 MATLAB programs, along with a CD-ROM containing these
                 programs for ease of use",
  acknowledgement = ack-nhfb,
  subject =      "Galerkin methods; Differential equations; Numerical
                 solutions; mathematics / applied; mathematics /
                 differential equations; mathematics / number systems",
  tableofcontents = "One-Dimensional Sinc Theory \\
                 Introduction and Summary \\
                 Sampling over the Real Line \\
                 More General Sinc Approximation on $R$ \\
                 Sinc, Wavelets, Trigonometric and Algebraic Polynomials
                 and Quadratures \\
                 Sinc Methods on $\Gamma$ \\
                 Rational Approximation at Sinc Points \\
                 Polynomial Methods at Sinc Points \\
                 \\
                 Sinc Convolution-BIE Methods for PDE and IE \\
                 Introduction and Summary \\
                 Some Properties of Green's Functions \\
                 Free-Space Green's Functions for PDE \\
                 Laplace Transforms of Green's Functions \\
                 Multi-Dimensional Convolution Based on Sinc \\
                 Theory of Separation of Variables \\
                 \\
                 Explicit 1-d Program Solutions via Sinc-Pack \\
                 Introduction and Summary \\
                 Sinc Interpolation \\
                 Approximation of Derivatives \\
                 Sinc Quadrature \\
                 Sinc Indefinite Integration \\
                 Sinc Indefinite Convolution \\
                 Laplace Transform Inversion \\
                 Hilbert and Cauchy Transforms \\
                 Sinc Solution of ODE \\
                 Wavelet Examples \\
                 \\
                 Explicit Program Solutions of PDE via Sinc-Pack \\
                 Introduction and Summary \\
                 Elliptic PDE \\
                 Hyperbolic PDE \\
                 Parabolic PDE \\
                 Performance Comparisons \\
                 \\
                 Directory of Programs \\
                 Wavelet Formulas \\
                 One Dimensional Sinc Programs \\
                 Multi-Dimensional Laplace Transform Programs \\
                 \\
                 Bibliography \\
                 \\
                 Index",
}

@Book{Tucker:2011:VNS,
  author =       "Warwick Tucker",
  title =        "Validated numerics: a short introduction to rigorous
                 computations",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "????",
  year =         "2011",
  ISBN =         "0-691-14781-7 (hardcover)",
  ISBN-13 =      "978-0-691-14781-9 (hardcover)",
  LCCN =         "QA76.95 .T83 2011",
  bibdate =      "Mon May 16 19:10:17 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  acknowledgement = ack-nhfb,
  subject =      "Numerical calculations; Verification; Science; Data
                 processing",
}

@Article{Watkins:2011:FA,
  author =       "David S. Watkins",
  title =        "{Francis}'s Algorithm",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "118",
  number =       "5",
  pages =        "387--403",
  month =        may,
  year =         "2011",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Thu May 26 16:28:05 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  URL =          "http://www.jstor.org/stable/info/10.4169/amer.math.monthly.118.05.387",
  abstract =     "John Francis's implicitly shifted QR algorithm turned
                 the problem of matrix eigenvalue computation from
                 difficult to routine almost overnight about fifty years
                 ago. It was named one of the top ten algorithms of the
                 twentieth century by Dongarra and Sullivan, and it
                 deserves to be more widely known and understood by the
                 general mathematical community. This article provides
                 an efficient introduction to Francis's algorithm that
                 follows a novel path. Efficiency is gained by omitting
                 the traditional but wholly unnecessary detour through
                 the basic QR algorithm. A brief history of the
                 algorithm is also included. It was not a one-man show;
                 some other important names are Rutishauser, Wilkinson,
                 and Kublanovskaya. Francis was never a specialist in
                 matrix computations. He was employed in the early
                 computer industry, spent some time on the problem of
                 eigenvalue computation and did amazing work, and then
                 moved on to other things. He never looked back, and he
                 remained unaware of the huge impact of his work until
                 many years later.",
  acknowledgement = ack-nhfb,
}

@Book{Altman:2012:USM,
  author =       "Yair M. Altman",
  title =        "Undocumented secrets of {MATLAB--Java} programming",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xxi + 663 + 16",
  year =         "2012",
  ISBN =         "1-4398-6904-9 (electronic bk.), 1-4398-6903-0
                 (hardback), 1-4398-6903-0",
  ISBN-13 =      "978-1-4398-6904-8 (electronic bk.), 978-1-4398-6903-1
                 (hardback), 978-1-4398-6903-1",
  LCCN =         "QA297 .A544 2012",
  bibdate =      "Fri Nov 16 08:10:20 MST 2012",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  acknowledgement = ack-nhfb,
  subject =      "MATLAB; Numerical analysis; Data processing; Java
                 (Computer program language); COMPUTERS / Programming /
                 Algorithms; COMPUTERS / Computer Engineering;
                 MATHEMATICS / Number Systems. MATHEMATICS / Numerical
                 Analysis",
  tableofcontents = "1.: Introduction to Java in MATLAB \\
                 2.: Using non-GUI Java libraries in MATLAB \\
                 3.: Rich GUI using Java Swing \\
                 4.: Uitools \\
                 5.: Built-in MATLAB widgets and Java classes \\
                 6.: Customizing MATLAB controls \\
                 7.: The Java frame \\
                 8.: The MATLAB desktop \\
                 9.: Using MATLAB from within Java \\
                 10.: Putting it all together \\
                 Appendix A.: What Is Java? \\
                 Appendix B.: UDD \\
                 Appendix C.: Open questions",
}

@Book{Antia:2012:NMS,
  author =       "H. M. Antia",
  title =        "Numerical methods for scientists and engineers",
  volume =       "2",
  publisher =    "Hindustan Book Agency, New Delhi",
  address =      "New Delhi",
  edition =      "Third",
  pages =        "xxxii + 855",
  year =         "2012",
  ISBN =         "93-80250-40-1 (hardcover)",
  ISBN-13 =      "978-93-80250-40-3 (hardcover)",
  LCCN =         "TA335 .A58 2012",
  MRclass =      "65-01",
  MRnumber =     "3025059",
  bibdate =      "Tue May 27 12:31:37 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  series =       "Texts and Readings in Physical Sciences",
  acknowledgement = ack-nhfb,
  remark =       "Previous ed.: Basel: Birkh{\"a}user, 2002.",
  subject =      "Numerical analysis; Engineering mathematics",
}

@Book{Atkinson:2012:SHA,
  author =       "Kendall Atkinson and Weimin Han",
  title =        "Spherical Harmonics and Approximations on the Unit
                 Sphere: an Introduction",
  volume =       "2044",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "ix + 244",
  year =         "2012",
  CODEN =        "LNMAA2",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-25983-8",
  ISBN =         "3-642-25982-0 (print), 3-642-25983-9 (e-book)",
  ISBN-13 =      "978-3-642-25982-1 (print), 978-3-642-25983-8
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 2044; QA406 .A85 2012",
  MRclass =      "41A30 (65N30 65R20); 41-02 (33C55 41A30 41A63 42A10)",
  MRnumber =     "2934227",
  MRreviewer =   "Feng Dai",
  bibdate =      "Tue May 6 14:56:41 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/lnm2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://link.springer.com/book/10.1007/978-3-642-25983-8;
                 http://www.springerlink.com/content/978-3-642-25983-8;
                 http://www.springerlink.com/content/u58550t8417n/",
  abstract =     "These notes provide an introduction to the theory of
                 spherical harmonics in an arbitrary dimension as well
                 asan overview of classical and recent results on some
                 aspects of the approximation of functions by spherical
                 polynomials and numerical integration over the unit
                 sphere. The notes are intended for graduate students in
                 the mathematical sciences and researchers who are
                 interested in solving problems involving partial
                 differential and integral equations on the unit sphere,
                 especially on the unit sphere in three-dimensional
                 Euclidean space. Some related work for approximation on
                 the unit disk in the plane is also briefly discussed,
                 with results being generalizable to the unit ball in
                 more dimensions.",
  acknowledgement = ack-nhfb,
  series-URL =   "http://link.springer.com/bookseries/304",
  tableofcontents = "1. Preliminaries \\
                 2. Spherical harmonics \\
                 3. Differentiation and integration over the sphere \\
                 4. Approximation theory \\
                 5. Numerical quadrature \\
                 6. Applications: spectral methods",
}

@Book{Attaway:2012:MPI,
  author =       "Stormy Attaway",
  title =        "{MATLAB}: a practical introduction to programming and
                 problem solving",
  publisher =    "Butterworth-Heinemann",
  address =      "Waltham, MA, USA",
  edition =      "Second",
  pages =        "xx + 518",
  year =         "2012",
  ISBN =         "0-12-385081-9",
  ISBN-13 =      "978-0-12-385081-2",
  LCCN =         "QA297 .A87 2012",
  bibdate =      "Thu May 3 08:07:25 MDT 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis; Data processing; MATLAB; Computer
                 programming",
}

@Book{Chaitin-Chatelin:2012:EM,
  author =       "Fran{\eth}coise Chaitin-Chatelin and Mario Ahu{\'e}s
                 and Walter Ledermann",
  title =        "Eigenvalues of matrices",
  volume =       "71",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  edition =      "Revised",
  pages =        "xxx + 410",
  year =         "2012",
  ISBN =         "1-61197-245-0",
  ISBN-13 =      "978-1-61197-245-0",
  LCCN =         "QA188 .C44 2012",
  bibdate =      "Tue Aug 12 15:33:32 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Classics in applied mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy1305/2012033049-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1305/2012033049-t.html;
                 http://www.loc.gov/catdir/enhancements/fy1307/2012033049-b.html",
  acknowledgement = ack-nhfb,
  remark =       "Translated from the original French.",
  subject =      "Matrices; Eigenvalues",
  tableofcontents = "Supplements from linear algebra \\
                 Elements of spectral theory \\
                 Why compute eigenvalues? \\
                 Error analysis \\
                 Foundations of methods for computing eigenvalues \\
                 Numerical methods for large matrices \\
                 Chebyshev's iterative methods \\
                 Polymorphic information processing with matrices",
}

@Book{Eubank:2012:SCC,
  author =       "Randall L. Eubank and Ana Kupresanin",
  title =        "Statistical computing in {C++} and {R}",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xv + 540",
  year =         "2012",
  ISBN =         "1-4200-6650-1 (hardcover)",
  ISBN-13 =      "978-1-4200-6650-0 (hardcover)",
  LCCN =         "QA276.4 .E87 2012",
  bibdate =      "Thu Jul 10 13:05:53 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/s-plus.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Chapman and Hall/CRC the R series",
  abstract =     "When one looks at a book with `statistical computing'
                 in the title, the expectation is most likely for a
                 treatment of the topic that has close ties to numerical
                 analysis. There are many texts written from this
                 perspective that provide valuable resources for those
                 who are actively involved in the solution of computing
                 problems that arise in statistics. The presentation in
                 the present text represents a departure from this
                 classical emphasis in that it concentrates on the
                 writing of code rather than the development and study
                 of algorithms, per se. The goal is to provide a
                 treatment of statistical computing that lays a
                 foundation for original code development in a research
                 environment. The advancement of statistical methodology
                 is now inextricably linked to the use of computers. New
                 methodological ideas must be translated into usable
                 code and then numerically evaluated relative to
                 competing procedures. As a result, many statisticians
                 expend significant amounts of their creative energy
                 while sitting in front of a computer monitor. The end
                 products from the vast majority of these efforts are
                 unlikely to be reflected in changes to core aspects of
                 numerical methods or computer hardware. Nonetheless,
                 they are modern statisticians that are (often very)
                 involved in computing. This book is written with that
                 particular audience in mind. What does a modern
                 statistician need to know about computing? Our belief
                 is that they need to understand at least the basic
                 principles of algorithmic thinking. The translation of
                 a mathematical problem into its computational analog
                 (or analogs) is a skill that must be learned, like any
                 other, by actively solving relevant problems.",
  acknowledgement = ack-nhfb,
  author-dates = "1952--",
  subject =      "Statistics; Data processing; C++ (Computer program
                 language); R (Computer program language); MATHEMATICS /
                 Probability and Statistics / General.",
  tableofcontents = "1.1. Programming paradigms \\
                 1.2. Object-oriented programming \\
                 1.3. What lies ahead \\
                 2.1. Introduction \\
                 2.2. Storage in C++ \\
                 2.3. Integers \\
                 2.4. Floating-point representation \\
                 2.5. Errors \\
                 2.6. Computing a sample variance \\
                 2.7. Storage in R \\
                 2.8. Exercises \\
                 3.1. Introduction \\
                 3.2. Variables and scope \\
                 3.3. Arithmetic and logical operators \\
                 3.4. Control structures \\
                 3.5. Using arrays and pointers \\
                 3.6. Functions \\
                 3.7. Classes, objects and methods \\
                 3.8. Miscellaneous topics \\
                 3.8.1. Structs \\
                 3.8.2. The this pointer \\
                 3.8.3.const correctness \\
                 3.8.4. Forward references \\
                 3.8.5. Strings \\
                 3.8.6. Namespaces \\
                 3.8.7. Handling errors \\
                 3.8.8. Timing a program \\
                 3.9. Matrix and vector classes \\
                 3.10. Input, output and templates \\
                 3.11. Function templates \\
                 3.12. Exercises \\
                 4.1. Introduction \\
                 4.2. Congruential methods \\
                 4.3. Lehmer type generators in C++ \\
                 4.4. An FM2 class \\
                 4.5. Other generation methods \\
                 4.6. Nonuniform generation \\
                 4.7. Generating random normals \\
                 4.8. Generating random numbers in R \\
                 4.9. Using the R Standalone Math Library \\
                 4.10. Exercises \\
                 5.1. Introduction \\
                 5.2. File input and output \\
                 5.3. Classes, methods and namespaces \\
                 5.4. Writing R functions \\
                 5.5. Avoiding loops in R \\
                 5.6. An example \\
                 5.7. Using C/C++ code in R \\
                 5.8. Exercises \\
                 6.1. Introduction \\
                 6.2. Creating a new class \\
                 6.3. Generic methods \\
                 6.4. An example \\
                 6.5. Exercises \\
                 7.1. Introduction \\
                 7.2. Solving linear equations \\
                 7.2.1. Solving triangular systems \\
                 7.2.2. Gaussian elimination \\
                 7.2.3. Cholesky decomposition \\
                 7.2.4. Banded matrices \\
                 7.2.5. An application: linear smoothing splines \\
                 7.2.6. Banded matrices via inheritance \\
                 7.3. Eigenvalues and eigenvectors \\
                 7.4. Singular value decomposition \\
                 7.5. Least squares \\
                 7.6. The Template Numerical Toolkit \\
                 7.7. Exercises \\
                 8.1. Introduction \\
                 8.2. Function objects \\
                 8.3. Golden section \\
                 8.3.1. Dealing with multiple minima \\
                 8.3.2. An application: linear smoothing splines
                 revisited \\
                 8.4. Newton's method \\
                 8.5. Maximum likelihood \\
                 8.6. Random search \\
                 8.7. Exercises \\
                 9.1. Introduction \\
                 9.2. ADT dictionary \\
                 9.2.1. Dynamic arrays and quicksort \\
                 9.2.2. Linked lists and mergesort \\
                 9.2.3. Stacks and queues \\
                 9.2.4. Hash tables \\
                 9.3. ADT priority queue \\
                 9.3.1. Heaps \\
                 9.3.2. A simple heap in C++ \\
                 9.4. ADT ordered set \\
                 9.4.1. A simple C++ binary search tree \\
                 9.4.2. Balancing binary trees \\
                 9.5. Pointer arithmetic, aerators and templates \\
                 9.5.1. Iterators \\
                 9.5.2. A linked list template class \\
                 9.6. Exercises \\
                 10.1. Introduction \\
                 10.2. Container basics \\
                 10.3. Vector and deque \\
                 10.3.1. Streaming data \\
                 10.3.2. Flexible data input \\
                 10.3.3. Guess5 revisited \\
                 10.4. The C++ list container \\
                 10.4.1. An example \\
                 10.4.2. A chaining hash table \\
                 10.5. Queues \\
                 10.6. The map and set containers \\
                 10.7. Algorithm basics \\
                 10.8. Exercises \\
                 11.1. Introduction \\
                 11.2. OpenMP \\
                 11.3. Basic MPI commands for C++ \\
                 11.4. Parallel processing in R \\
                 11.5. Parallel random number generation \\
                 11.6. Exercises \\
                 A.1. Getting around and finding things \\
                 A.2. Seeing what's there \\
                 A.3. Creating and destroying things \\
                 A.4. Things that are running and how to stop them \\
                 B.1. R as a calculator \\
                 B.2. R as a graphics engine \\
                 B.3. R for statistical analysis \\
                 C.1. Pseudo-random numbers \\
                 C.2. Hash tables \\
                 C.3. Tuples",
}

@Article{Gander:2012:ERG,
  author =       "Martin J. Gander and Gerhard Wanner",
  title =        "From {Euler}, {Ritz}, and {Galerkin} to Modern
                 Computing",
  journal =      j-SIAM-REVIEW,
  volume =       "54",
  number =       "4",
  pages =        "627--666",
  month =        "????",
  year =         "2012",
  CODEN =        "SIREAD",
  DOI =          "http://dx.doi.org/10.1137/100804036",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Fri Jun 21 11:25:02 MDT 2013",
  bibsource =    "http://epubs.siam.org/toc/siread/54/4;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2012",
}

@Book{Griffiths:2012:TWA,
  author =       "Graham W. Griffiths and W. E. Schiesser",
  title =        "Traveling wave analysis of partial differential
                 equations: numerical and analytical methods with
                 {MATLAB} and {Maple}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiii + 447",
  year =         "2012",
  ISBN =         "0-12-384652-8 (hardcover)",
  ISBN-13 =      "978-0-12-384652-5 (hardcover)",
  LCCN =         "QA374 .G75 2012",
  bibdate =      "Tue Jun 19 15:02:49 MDT 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Differential equations, Partial; Numerical analysis;
                 Computer programs; MATLAB; Maple (Computer file)",
  tableofcontents = "Introduction to traveling wave analysis \\
                 Linear advection equation \\
                 Linear diffusion equation \\
                 A linear convection diffusion reaction equation \\
                 Diffusion equation with nonlinear source terms \\
                 Burgers-Huxley equation \\
                 Burgers-Fisher equation \\
                 Fisher-Kolmogorov equation \\
                 Fitzhugh-Nagumo equation \\
                 Kolmogorov-Petrovskii-Piskunov equation \\
                 Kuramoto-Sivashinsky equation \\
                 Kawahara equation \\
                 Regularized long wave equation \\
                 Extended Bernoulli equation \\
                 Hyperbolic Liouville equation \\
                 Sine-Gordon equation \\
                 Mth-Oder Klein-Gordon equation \\
                 Boussinesq equation \\
                 Modified wave equation \\
                 Appendix: Analytical solution methods for traveling
                 wave problems",
}

@Book{Kharab:2012:INM,
  author =       "Abdelwahab Kharab and Ronald B. Guenther",
  title =        "An introduction to numerical methods: a {MATLAB}
                 approach",
  publisher =    pub-CHAPMAN-HALL-CRC,
  address =      pub-CHAPMAN-HALL-CRC:adr,
  edition =      "Third",
  pages =        "14 + 567",
  year =         "2012",
  ISBN =         "1-4398-6899-9 (hardback), 1-4398-6900-6 (e-book)",
  ISBN-13 =      "978-1-4398-6899-7 (hardback), 978-1-4398-6900-0
                 (e-book)",
  LCCN =         "QA297 .K52 2012",
  bibdate =      "Fri Nov 16 06:29:40 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis; Data processing; MATLAB",
  tableofcontents = "Introduction \\
                 Number system and errors \\
                 Roots of equations \\
                 System of linear equations \\
                 Interpolation \\
                 Interpolation with spline functions \\
                 The method of least-squares \\
                 Numerical optimization \\
                 Numerical differentiation \\
                 Numerical integration \\
                 Numerical methods for linear integral equations \\
                 Numerical methods for differential equations \\
                 Boundary-value problems \\
                 Eigenvalues and eigenvectors \\
                 Partial differential equations",
}

@Book{Kugler:2012:AMB,
  author =       "Philipp K{\"u}gler and Wolfgang Windsteiger",
  title =        "Algorithmische {Methoden}. {Band} 2",
  publisher =    "Birkh{\"a}user/Springer Basel AG, Basel",
  pages =        "viii + 159",
  year =         "2012",
  DOI =          "http://dx.doi.org/10.1007/978-3-7643-8516-3",
  ISBN =         "3-7643-8515-4; 3-7643-8516-2",
  ISBN-13 =      "978-3-7643-8515-6; 978-3-7643-8516-3",
  MRclass =      "65-01 (68-01)",
  MRnumber =     "3086486",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  note =         "Funktionen, Matrizen, multivariate Polynome.
                 [Functions, matrices, multivariate polynomials]",
  series =       "Mathematik Kompakt. [Compact Mathematics]",
  acknowledgement = ack-nhfb,
}

@Book{Langtangen:2012:PSP,
  author =       "Hans Petter Langtangen",
  title =        "A primer on scientific programming with {Python}",
  volume =       "6",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Third",
  year =         "2012",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-30293-0",
  ISBN =         "3-642-30292-0, 3-642-30293-9 (e-book)",
  ISBN-13 =      "978-3-642-30292-3, 978-3-642-30293-0 (e-book)",
  ISSN =         "1611-0994",
  LCCN =         "QA76.73.P98 L36 2012",
  bibdate =      "Fri Nov 29 07:00:01 MST 2013",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/python.bib",
  series =       "Texts in computational science and engineering",
  URL =          "http://site.ebrary.com/id/10650410",
  abstract =     "The book serves as a first introduction to computer
                 programming of scientific applications, using the
                 high-level Python language. The exposition is example-
                 and problem-oriented, where the applications are taken
                 from mathematics, numerical calculus, statistics,
                 physics, biology, and finance. The book teaches
                 ``Matlab-style'' and procedural programming as well as
                 object-oriented programming. High school mathematics is
                 a required background, and it is advantageous to study
                 classical and numerical one-variable calculus in
                 parallel with reading this book. Besides learning how
                 to program computers.",
  acknowledgement = ack-nhfb,
  subject =      "Python (Computer program language); Computer
                 programming; Science; Data processing",
  tableofcontents = "Computing with Formulas \\
                 Loops and Lists \\
                 Functions and Branching \\
                 Input Data and Error Handling \\
                 Array Computing and Curve Plotting \\
                 Files, Strings, and Dictionaries \\
                 Introduction to Classes \\
                 Random Numbers and Simple Games \\
                 Object-Oriented Programming",
}

@Book{Laub:2012:CMA,
  author =       "Alan J. Laub",
  title =        "Computational matrix analysis",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xiii + 154",
  year =         "2012",
  ISBN =         "1-61197-220-5 (paperback), 1-61197-221-3 (e-book)",
  ISBN-13 =      "978-1-61197-220-7 (paperback), 978-1-61197-221-4
                 (e-book)",
  LCCN =         "QA274.2 .L38 2012",
  MRclass =      "65-01 (65Fxx)",
  MRnumber =     "2934576",
  MRreviewer =   "Petko Petkov",
  bibdate =      "Tue May 27 12:02:28 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Other titles in applied mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy1211/2011050702-b.html;
                 http://www.loc.gov/catdir/enhancements/fy1211/2011050702-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1211/2011050702-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Matrix analytic methods; Data processing",
}

@Book{Layton:2012:ADM,
  author =       "William J. Layton and Leo G. Rebholz",
  title =        "Approximate Deconvolution Models of Turbulence:
                 Analysis, Phenomenology and Numerical Analysis",
  volume =       "2042",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 184",
  year =         "2012",
  CODEN =        "LNMAA2",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-24409-4",
  ISBN =         "3-642-24408-4 (print), 3-642-24409-2 (e-book)",
  ISBN-13 =      "978-3-642-24408-7 (print), 978-3-642-24409-4
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 2042",
  MRclass =      "76-02 (76D03 76D05 76F65)",
  MRnumber =     "2934085",
  MRreviewer =   "Peter Bernard Weichman",
  bibdate =      "Tue May 6 14:56:41 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/lnm2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://link.springer.com/book/10.1007/978-3-642-24409-4;
                 http://www.springerlink.com/content/978-3-642-24409-4",
  acknowledgement = ack-nhfb,
  series-URL =   "http://link.springer.com/bookseries/304",
}

@Book{Pont:2012:DDW,
  author =       "Jean-Claude Pont and Christophe Rossel",
  title =        "Le destin douloureux de {Walther Ritz} (1878--1909),
                 physicien th{\'e}oricien de g{\'e}nie",
  volume =       "24",
  publisher =    "Archives de l'{\'e}tat du Valais",
  address =      "Vallesia, France",
  pages =        "264 + 41",
  year =         "2012",
  ISBN =         "2-9700636-5-4 (hardcover)",
  ISBN-13 =      "978-2-9700636-5-0 (hardcover)",
  LCCN =         "????",
  bibdate =      "Mon Apr 21 12:49:54 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/histmath.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Cahiers de Vallesia",
  acknowledgement = ack-nhfb,
  author-dates = "(1941--\ldots{}.).",
  remark =       "Contributions en fran{\c{c}}ais et en anglais.",
  subject =      "Ritz, Walther; Biographies.; Physique
                 math{\'e}matique; Histoire.; Sciences",
  subject-dates = "(1878--1909)",
  tableofcontents = "Aspects de la vie et de l'oeuvre de Walther Ritz,
                 physicien th{\'e}oricien valaisan / Jean-Claude Pont
                 \\
                 Walther Ritz et ses correspondants / Jean-Claude Pont
                 \\
                 Walther Ritz, quelques dates / Jean-Claude Pont \\
                 Sion au temps de Walther Ritz / Patrice Tschopp \\
                 Ritz face {\`a} la physique de son temps / Jan Lacki
                 \\
                 Walther Ritz exp{\'e}rimentateur / Nicolas Produit \\
                 Walther Ritz's theoretical work in spectroscopy,
                 focussing on series formulas / Klaus Hentschel \\
                 From Euler, Ritz and Galerkin to modern computing /
                 Martin J. Gander and Gerhard Wanner \\
                 Electrodynamics in the physics of Walther Ritz /
                 Olivier Darrigol \\
                 Manifestations {\`a} l'occasion du centenaire de la
                 mort de Walther Ritz, Sion, 17--19 septembre 2009 \\
                 Bibliographie des {\'e}crits de Walther Ritz /
                 Jean-Claude Pont and Nicolas Produit",
}

@Book{Shapira:2012:SPC,
  author =       "Yair Shapira",
  title =        "Solving {PDEs} in {C++}: numerical methods in a
                 unified object-oriented approach",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  edition =      "Second",
  pages =        "xxxii + 776",
  year =         "2012",
  DOI =          "http://dx.doi.org/10.1137/9781611972177",
  ISBN =         "1-61197-216-7 (paperback)",
  ISBN-13 =      "978-1-61197-216-0 (paperback)",
  LCCN =         "QA377 .S466 2012",
  bibdate =      "Thu Aug 28 08:20:59 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Computational science and engineering series",
  acknowledgement = ack-nhfb,
  author-dates = "1960--",
  subject =      "Differential equations, Partial; C++ (Computer program
                 language); Object-oriented programming (Computer
                 science)",
  tableofcontents = "Part I. Elementary background in programming \\
                 1. Concise introduction to C \\
                 2. Concise introduction to C++ \\
                 3. Data structures used in the present algorithms \\
                 Part II. Object-oriented programming \\
                 4. From Wittgenstein--Lacan's theory to the
                 object-oriented implementation of graphs and matrices
                 \\
                 5. FFT and other algorithms in numerics and
                 cryptography \\
                 6. Object-oriented analysis of nonlinear ordinary
                 differential equations \\
                 Part III. Partial differential equations and their
                 discretization \\
                 7. The convection--diffusion equation \\
                 8. Some stability analysis \\
                 9. About nonlinear conservation laws \\
                 10. Application in image processing \\
                 Part IV. Finite elements \\
                 11. About the weak formulation \\
                 12. Some background in linear finite elements \\
                 13. Unstructured finite-element meshes \\
                 14. Adaptive mesh refinement \\
                 15. Towards high-order finite elements\\
                 Part V. The numerical solution of large sparse linear
                 systems of algebraic equations \\
                 16. Sparse matrices and their object-oriented
                 implementation \\
                 17. Iterative methods for the numerical solution of
                 large sparse linear systems of algebraic equations \\
                 18. Towards parallelism\\
                 Part VI. Applications in two spatial dimensions \\
                 19. Diffusion equations \\
                 20. The linear elasticity equations \\
                 21. The Stokes equations \\
                 22. Application in electromagnetic waves \\
                 23. Multigrid for nonlinear equations and for the
                 fusion problem in image processing \\
                 Part VII. Applications in three spatial dimensions \\
                 24. Polynomials in three independent variables \\
                 25. The Helmholtz equation : error estimate \\
                 26. Adaptive finite elements in three spatial
                 dimensions \\
                 27. Application in nonlinear optics : the nonlinear
                 Helmholtz equation in three spatial dimensions \\
                 28. High-order finite elements in three spatial
                 dimensions \\
                 29. Application in the nonlinear Maxwell equations \\
                 30. Towards inverse problems \\
                 31. Application in the Navier--Stokes equations \\
                 Appendix A. Solutions to selected exercises \\
                 Bibliography \\
                 Index",
}

@Book{Sirca:2012:CMP,
  author =       "Simon {\v{S}}irca and Martin Horvat",
  title =        "Computational methods for physicists",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xx + 715",
  year =         "2012",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-32478-9",
  ISBN =         "3-642-32477-0; 3-642-32478-9",
  ISBN-13 =      "978-3-642-32477-2; 978-3-642-32478-9",
  MRclass =      "65-01",
  MRnumber =     "3013260",
  bibdate =      "Tue May 27 11:24:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  note =         "Compendium for students",
  series =       "Graduate Texts in Physics",
  acknowledgement = ack-nhfb,
}

@Book{Wulf:2012:CVR,
  author =       "Andrea Wulf",
  title =        "Chasing {Venus}: the race to measure the heavens",
  publisher =    pub-KNOPF,
  address =      pub-KNOPF:adr,
  pages =        "xxvi + 304",
  year =         "2012",
  ISBN =         "0-307-70017-8 (hardcover), 0-307-95861-2 (e-book)",
  ISBN-13 =      "978-0-307-70017-9 (hardcover), 978-0-307-95861-7
                 (e-book)",
  LCCN =         "QB205.A2 W85 2012",
  bibdate =      "Mon Jun 18 14:33:26 MDT 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "The author of the highly acclaimed Founding Gardeners
                 now gives us an enlightening chronicle of the first
                 truly international scientific endeavor --- the
                 eighteenth-century quest to observe the transit of
                 Venus and measure the solar system. On June 6, 1761,
                 the world paused to observe a momentous occasion: the
                 first transit of Venus between the earth and the sun in
                 more than a century. Through that observation,
                 astronomers could calculate the size of the solar
                 system --- but only if the transit could be viewed at
                 the same time from many locations. Overcoming
                 incredible odds and political strife, astronomers from
                 Britain, France, Russia, Germany, Sweden, and the
                 American colonies set up observatories in remote
                 corners of the world only to have their efforts
                 thwarted by unpredictable weather and warring armies.
                 Fortunately, transits of Venus occur in pairs: eight
                 years later, the scientists were given a second chance
                 to get it right. Chasing Venus brings to life this
                 extraordinary endeavor: the personalities of
                 eighteenth-century astronomy, the collaborations,
                 discoveries, personal rivalries, volatile international
                 politics, and the race to be first to measure the
                 distances between the planets.\par

                 On June 6, 1761, the world paused to observe a
                 momentous occasion: the first transit of Venus between
                 the Earth and the sun in more than a century. Through
                 that observation, astronomers could calculate the size
                 of the solar system --- but only if the transit could
                 be viewed at the same time from many locations.
                 Overcoming incredible odds and political strife,
                 astronomers from Britain, France, Russia, Germany,
                 Sweden, and the American colonies set up observatories
                 in remote corners of the world only to have their
                 efforts thwarted by unpredictable weather and warring
                 armies. Fortunately, transits of Venus occur in pairs:
                 eight years later, the scientists were given a second
                 chance to get it right. Chasing Venus brings to life
                 this extraordinary endeavor: the personalities of
                 eighteenth-century astronomy, the collaborations,
                 discoveries, personal rivalries, volatile international
                 politics, and the race to be first to measure the
                 distances between the planets.",
  acknowledgement = ack-nhfb,
  remark =       "The Venus solar transit of Tuesday 5 June 2012 was
                 expected to be visible in Salt Lake City, which
                 normally enjoys clear skies during much of the year.
                 Alas, heavy clouds hung low in the valley on that
                 single day, obscuring the event. Only near sundown was
                 the final part of the six-hour transit partly visible
                 through the clouds, by which time, most observers
                 (including me) had given up.",
  subject =      "geodetic astronomy; history; 18th century; astronomy;
                 Venus (planet); transit",
  tableofcontents = "The gauntlet \\
                 Transit 1761. Call to action; The French are first;
                 Britain enters the race; To Siberia; Getting ready for
                 Venus; Day of transit, 6 June 1761; How far to the sun?
                 \\
                 Transit 1769. A second change; Russia enters the race;
                 The most daring voyage of all; Scandinavia, or, The
                 Land of the Midnight Sun; The North American continent;
                 Racing to the four corners of the globe; Day of
                 transit, 3 June 1769; After the transit \\
                 A new dawn \\
                 List of observers, 1761 \\
                 List of observers, 1769",
}

@Book{Dennis:2013:RSC,
  author =       "Brian Dennis",
  title =        "The {R} student companion",
  publisher =    "CRC Press, Taylor and Francis Group",
  address =      "Boca Raton, FL, USA",
  pages =        "xvii + 339",
  year =         "2013",
  ISBN =         "1-4398-7540-5 (paperback)",
  ISBN-13 =      "978-1-4398-7540-7 (paperback)",
  LCCN =         "QA276.45.R3 D46 2013",
  bibdate =      "Thu Jul 10 12:58:52 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/s-plus.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://jacketsearch.tandf.co.uk/common/jackets/covers/websmall/978143987/9781439875407.jpg",
  abstract =     "R is a computer package for scientific graphs and
                 calculations. It is written and maintained by
                 statisticians and scientists, for scientists to use in
                 their work. It is easy to use, yet is extraordinarily
                 powerful. R is spreading rapidly throughout the science
                 and technology world, and it is setting the standards
                 for graphical data displays in science publications. R
                 is free. It is an open-source product that is easy to
                 install on most computers. It is available for Windows,
                 Mac, and Unix/Linux operating systems. One simply
                 downloads and installs it from the R website (http://
                 www.r-project.org/). This book is for high school and
                 college students, and anyone else, who wants to learn
                 to use R. With this book, you can put your computer to
                 work in powerful fashion, in any subject that uses
                 applied mathematics. In particular, physics, life
                 sciences, chemistry, earth science, economics,
                 engineering, and business involve much analysis,
                 modeling, simulation, statistics, and graphing. These
                 quantitative applications become remarkably
                 straightforward and understandable when performed with
                 R. Difficult concepts in mathematics and statistics
                 become clear when illustrated with R. The book starts
                 from the beginning and assumes the reader has no
                 computer programming background. The mathematical
                 material in the book requires only a moderate amount of
                 high school algebra. R makes graphing calculators seem
                 awkward and obsolete. The calculators are hard to
                 learn, cumbersome to use for anything but tiny
                 problems, and the graphs are small and have poor
                 resolution. Calculating in R by comparison is
                 intuitive, even fun. Fantastic, publication-quality
                 graphs of data, equations, or both can be produced with
                 little effort.",
  acknowledgement = ack-nhfb,
  author-dates = "1952--",
  subject =      "R (Computer program language); Probabilities;
                 Mathematical statistics; Data processing; MATHEMATICS /
                 General.; MATHEMATICS / Probability and Statistics /
                 General.",
  tableofcontents = "1. Introduction: Getting started with R \\
                 2. R scripts \\
                 3. Functions \\
                 4. Basic graphs \\
                 5. Data input and output \\
                 6. Loops \\
                 7. Logic and control \\
                 8. Quadratic functions \\
                 9. Trigonometric functions \\
                 10. Exponential and logarithmic functions \\
                 11. Matrix arithmetic \\
                 12. Systems of linear equations \\
                 13. Advanced graphs \\
                 14. Probability and simulation \\
                 15. Fitting models to data \\
                 16. Conclusion: It doesn't take a rocket scientist \\
                 Appendix A Installing R \\
                 Appendix B: Getting help \\
                 Appendix C: Common R expressions",
}

@Book{Graham:2013:SSM,
  author =       "C. (Carl) Graham and D. (Denis) Talay",
  title =        "Stochastic Simulation and {Monte Carlo} Methods:
                 Mathematical Foundations of Stochastic Simulation",
  volume =       "68",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 260 + 4",
  year =         "2013",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-39363-1",
  ISBN =         "3-642-39362-4",
  ISBN-13 =      "978-3-642-39362-4",
  ISSN =         "0172-4568",
  ISSN-L =       "0172-4568",
  LCCN =         "QA273.A1-274.9; QA274-274.9",
  bibdate =      "Tue Apr 29 18:44:55 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/probstat2010.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  series =       "Stochastic Modelling and Applied Probability",
  abstract =     "In various scientific and industrial fields,
                 stochastic simulations are taking on a new importance.
                 This is due to the increasing power of computers and
                 practitioners and \#x2019; aim to simulate more and
                 more complex systems, and thus use random parameters as
                 well as random noises to model the parametric
                 uncertainties and the lack of knowledge on the physics
                 of these systems. The error analysis of these
                 computations is a highly complex mathematical
                 undertaking. Approaching these issues, the authors
                 present stochastic numerical methods and prove accurate
                 convergence rate estimates in terms of their numerical
                 parameters (number of simulations, time discretization
                 steps). As a result, the book is a self-contained and
                 rigorous study of the numerical methods within a
                 theoretical framework. After briefly reviewing the
                 basics, the authors first introduce fundamental notions
                 in stochastic calculus and continuous-time martingale
                 theory, then develop the analysis of pure-jump Markov
                 processes, Poisson processes, and stochastic
                 differential equations. In particular, they review the
                 essential properties of {It{\^o}} integrals and prove
                 fundamental results on the probabilistic analysis of
                 parabolic partial differential equations. These results
                 in turn provide the basis for developing stochastic
                 numerical methods, both from an algorithmic and
                 theoretical point of view. and The book combines
                 advanced mathematical tools, theoretical analysis of
                 stochastic numerical methods, and practical issues at a
                 high level, so as to provide optimal results on the
                 accuracy of Monte Carlo simulations of stochastic
                 processes. It is intended for master and Ph.D. students
                 in the field of stochastic processes and their
                 numerical applications, as well as for physicists,
                 biologists, economists and other professionals working
                 with stochastic simulations, who will benefit from the
                 ability to reliably estimate and control the accuracy
                 of their simulations. and .",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; Finance; Numerical analysis; Distribution
                 (Probability theory)",
  tableofcontents = "Part I:Principles of Monte Carlo Methods \\
                 1.Introduction \\
                 2.Strong Law of Large Numbers and Monte Carlo Methods
                 \\
                 3.Non Asymptotic Error Estimates for Monte Carlo
                 Methods \\
                 Part II:Exact and Approximate Simulation of Markov
                 Processes \\
                 4.Poisson Processes \\
                 5.Discrete-Space Markov Processes \\
                 6.Continuous-Space Markov Processes with Jumps \\
                 7.Discretization of Stochastic Differential Equations
                 \\
                 Part III:Variance Reduction, Girsanov and \#x2019;s
                 Theorem, and Stochastic Algorithms \\
                 8.Variance Reduction and Stochastic Differential
                 Equations \\
                 9.Stochastic Algorithms \\
                 References \\
                 Index",
}

@Book{Hansen:2013:LSD,
  author =       "Per Christian Hansen and V{\'{\i}}ctor Pereyra and
                 Godela Scherer",
  title =        "Least squares data fitting with applications",
  publisher =    pub-JOHNS-HOPKINS,
  address =      pub-JOHNS-HOPKINS:adr,
  pages =        "xviii + 305",
  year =         "2013",
  ISBN =         "1-4214-0786-8 (hardcover) 1-4214-0858-9 (e-book)",
  ISBN-13 =      "978-1-4214-0786-9 (hardcover) 978-1-4214-0858-3
                 (e-book)",
  LCCN =         "QA275 .H26 2013",
  MRclass =      "65-01 (62J05 65Fxx)",
  MRnumber =     "3012616",
  bibdate =      "Tue May 27 12:30:09 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 prodorbis.library.yale.edu:7090/voyager;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://muse.jhu.edu/books/9781421408583/",
  acknowledgement = ack-nhfb,
}

@Book{Hilber:2013:CMQ,
  author =       "Norbert Hilber and Oleg Reichmann and Ch. (Christoph)
                 Schwab and Christoph Winter",
  title =        "Computational Methods for Quantitative Finance: Finite
                 Element Methods for Derivative Pricing",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiii + 299 + 57",
  year =         "2013",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-35401-4",
  ISBN =         "3-642-35400-9",
  ISBN-13 =      "978-3-642-35400-7",
  ISSN =         "1616-0533",
  ISSN-L =       "1616-0533",
  LCCN =         "QA273.A1-274.9; QA274-274.9",
  bibdate =      "Tue Apr 29 18:44:55 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/probstat2010.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  series =       "Springer Finance",
  abstract =     "Many mathematical assumptions on which classical
                 derivative pricing methods are based have come under
                 scrutiny in recent years. The present volume offers an
                 introduction to deterministic algorithms for the fast
                 and accurate pricing of derivative contracts in modern
                 finance. This unified, non-Monte-Carlo computational
                 pricing methodology is capable of handling rather
                 general classes of stochastic market models with jumps,
                 including, in particular, all currently used L{\'e}vy
                 and stochastic volatility models. It allows us e.g. to
                 quantify model risk in computed prices on plain
                 vanilla, as well as on various types of exotic
                 contracts. The algorithms are developed in classical
                 Black-Scholes markets, and then extended to market
                 models based on multiscale stochastic volatility, to
                 L{\'e}vy, additive and certain classes of Feller
                 processes. and The volume is intended for graduate
                 students and researchers, as well as for practitioners
                 in the fields of quantitative finance and applied and
                 computational mathematics with a solid background in
                 mathematics, statistics or economics.",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; Finance; Numerical analysis; Distribution
                 (Probability theory)",
  tableofcontents = "Part I. Basic techniques and models: \\
                 1. Introduction \\
                 2. Notions of mathematical finance \\
                 3. Elements of numerical methods for PDEs \\
                 4. Finite element methods for parabolic problems \\
                 5. European options in BS markets \\
                 6. American options \\
                 7. Exotic options \\
                 8. Interest rate models \\
                 9. Multi-asset options \\
                 10. Stochastic volatility models \\
                 11. L{\'e}vy models \\
                 12. Sensitivities and Greeks \\
                 Part II. Advanced techniques and models 13. Wavelet
                 methods \\
                 14. Multidimensional diffusion models \\
                 15. Multidimensional L{\'e}vy models \\
                 16. Stochastic volatility models with jumps \\
                 17. Multidimensional Feller processes \\
                 Appendices: \\
                 A. Elliptic variational inequalities \\
                 B. Parabolic variational inequalities \\
                 References \\
                 Index",
}

@Book{Hollig:2013:AMB,
  author =       "Klaus H{\"o}llig and J{\"o}rg H{\"o}rner",
  title =        "Approximation and modeling with {B}-splines",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xiii + 214",
  year =         "2013",
  ISBN =         "1-61197-294-9",
  ISBN-13 =      "978-1-61197-294-8",
  LCCN =         "QA224 .H645 2013",
  bibdate =      "Tue Aug 12 15:33:22 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Applied mathematics",
  acknowledgement = ack-nhfb,
  subject =      "Spline theory; Approximation theory; Numerical
                 analysis; Mathematical models; Engineering; Computer
                 science; Mathematics; Algorithms; Industrial
                 applications",
  tableofcontents = "Polynomials \\
                 B\'ezier Curves \\
                 Rational B\'ezier Curves \\
                 B-Splines \\
                 Approximation \\
                 Spline Curves \\
                 Multivariate Splines \\
                 Surfaces and Solids \\
                 Finite Elements \\
                 Appendix \\
                 Notation and Symbols",
}

@Book{Horn:2012:MA,
  author =       "Roger A. Horn and Charles R. (Charles Royal) Johnson",
  title =        "Matrix Analysis",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  edition =      "Second",
  pages =        "xviii + 643",
  year =         "2012",
  DOI =          "http://dx.doi.org/10.1017/CBO9781139020411",
  ISBN =         "0-521-83940-8 (hardcover), 0-521-54823-3 (paperback),
                 1-283-74139-3, 1-139-77904-4, 1-139-77600-2 (e-book),
                 1-139-02041-2 (e-book)",
  ISBN-13 =      "978-0-521-83940-2 (hardcover), 978-0-521-54823-6
                 (paperback), 978-1-283-74139-2, 978-1-139-77904-3,
                 978-1-139-77600-4 (e-book), 978-1-139-02041-1
                 (e-book)",
  LCCN =         "QA188 .H66 2012",
  bibdate =      "Thu Nov 20 09:13:05 MST 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/linala2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  abstract =     "The thoroughly revised and updated second edition of
                 this acclaimed text has several new and expanded
                 sections and more than 1,100 exercises.",
  acknowledgement = ack-nhfb,
  subject =      "Matrices; MATHEMATICS; Algebra; Abstract; Matrices",
  tableofcontents = "Frontmatter / i--vi \\
                 Contents / vii--x \\
                 Preface to the Second Edition / xi--xiv \\
                 Preface to the First Edition / xv--xviii \\
                 0. Review and Miscellanea / 1--42 \\
                 1. Eigenvalues, Eigenvectors, and Similarity / 43--82
                 \\
                 2. Unitary Similarity and Unitary Equivalence / 83--162
                 \\
                 3. Canonical Forms for Similarity and Triangular
                 Factorizations / 163--224 \\
                 4. Hermitian Matrices, Symmetric Matrices, and
                 Congruences / 225--312 \\
                 5. Norms for Vectors and Matrices / 313--386 \\
                 6. Location and Perturbation of Eigenvalues / 387--424
                 \\
                 7. Positive Definite and Semidefinite Matrices /
                 425--516 \\
                 8. Positive and Nonnegative Matrices / 517--554 \\
                 Appendix A. Complex Numbers / 555--556 \\
                 Appendix B. Convex Sets and Functions / 557--560 \\
                 Appendix C. The Fundamental Theorem of Algebra /
                 561--562 \\
                 Appendix D. Continuity of Polynomial Zeroes and Matrix
                 Eigenvalues / 563--564 \\
                 Appendix E. Continuity, Compactness, and Weierstrass's
                 Theorem / 565--566 \\
                 Appendix F. Canonical Pairs / 567--570 \\
                 References / 571--574 \\
                 Notation / 575--578 \\
                 Hints for Problems / 579--606 \\
                 Index / 607--643",
}

@Book{Kiusalaas:2013:NME,
  author =       "Jaan Kiusalaas",
  title =        "Numerical methods in engineering with {Python 3}",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xi + 423",
  year =         "2013",
  ISBN =         "1-107-03385-3",
  ISBN-13 =      "978-1-107-03385-6",
  LCCN =         "TA345 .K584 2013",
  MRclass =      "65-01",
  MRnumber =     "3026375",
  bibdate =      "Tue May 27 12:31:32 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/python.bib",
  abstract =     "This book is an introduction to numerical methods for
                 students in engineering. It covers solution of
                 equations, interpolation and data fitting, solution of
                 differential equations, eigenvalue problems and
                 optimisation. The algorithms are implemented in Python
                 3, a high-level programming language that rivals MATLAB
                 in readability and ease of use. All methods include
                 programs showing how the computer code is utilised in
                 the solution of problems. The book is based on
                 Numerical Methods in Engineering with Python, which
                 used Python 2. This new edition demonstrates the use of
                 Python 3 and includes an introduction to the Python
                 plotting package Matplotlib. This comprehensive book is
                 enhanced by the addition of numerous examples and
                 problems throughout.",
  acknowledgement = ack-nhfb,
  subject =      "Engineering mathematics; Data processing; Python
                 (Computer program language)",
  tableofcontents = "1. Introduction to Python \\
                 2. Systems of linear algebraic equations \\
                 3. Interpolation and curve fitting \\
                 4. Roots of equations \\
                 5. Numerical differentiation \\
                 6. Numerical integration \\
                 7. Initial value problems \\
                 8. Two-point boundary value problems \\
                 9. Symmetric matrix eigenvalue problems \\
                 10. Introduction to optimization",
}

@Book{Larson:2013:FEM,
  author =       "Mats G. Larson and Fredrik Bengzon",
  title =        "The finite element method: theory, implementation, and
                 applications",
  volume =       "10",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xviii + 385",
  year =         "2013",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-33287-6",
  ISBN =         "3-642-33286-2, 3-642-33287-0 (e-book)",
  ISBN-13 =      "978-3-642-33286-9, 978-3-642-33287-6 (e-book)",
  ISSN =         "1611-0994",
  LCCN =         "TA347.F5 L37 2013",
  MRclass =      "65-01 (65M60 65N30)",
  MRnumber =     "3015004",
  bibdate =      "Tue May 27 12:31:33 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Texts in Computational Science and Engineering",
  acknowledgement = ack-nhfb,
  subject =      "Finite element method",
}

@Book{Ochsner:2013:ODF,
  author =       "Andreas {\"O}chsner and Markus Merkel",
  title =        "One-dimensional finite elements: an introduction to
                 the FE method",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xxiii + 398",
  year =         "2013",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-31797-2",
  ISBN =         "3-642-31796-0 (hardcover); 3-642-31797-9 (e-book)",
  ISBN-13 =      "978-3-642-31796-5 (hardcover); 978-3-642-31797-2
                 (e-book)",
  LCCN =         "TA347.F5 O24 2013",
  MRclass =      "65-01 (65M60 65N30 74S05)",
  MRnumber =     "2985770",
  MRreviewer =   "Alexandre L. Madureira",
  bibdate =      "Tue May 27 12:31:35 MDT 2014",
  bibsource =    "clas.caltech.edu:210/INNOPAC;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  note =         "An introduction to the FE method",
  abstract =     "``This textbook presents finite element methods using
                 exclusively one-dimensional elements. The aim is to
                 present the complex methodology in an easily
                 understandable but mathematically correct fashion. The
                 approach of one-dimensional elements enables the reader
                 to focus on the understanding of the principles of
                 basic and advanced mechanical problems. The reader
                 easily understands the assumptions and limitations of
                 mechanical modeling as well as the underlying physics
                 without struggling with complex mathematics. But
                 although the description is easy it remains
                 scientifically correct.The approach using only
                 one-dimensional elements covers not only standard
                 problems but allows also for advanced topics like
                 plasticity or the mechanics of composite materials.
                 Many examples illustrate the concepts and problems at
                 the end of every chapter help to familiarize with the
                 topics.'' -- Publisher's description.",
  acknowledgement = ack-nhfb,
  subject =      "Finite element method",
  tableofcontents = "Motivation for the finite element method \\
                 Bar element \\
                 Torsion bar \\
                 Bending element \\
                 General 1D element \\
                 Plane and spatial frame structures \\
                 Beam with shear contribution \\
                 Beams of composite materials \\
                 Nonlinear elasticity \\
                 Plasticity \\
                 Stability (buckling) \\
                 Dynamics",
}

@Book{Pozrikidis:2013:XSC,
  author =       "C. Pozrikidis",
  title =        "{XML} in scientific computing",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xv + 243 pages",
  year =         "2013",
  ISBN =         "1-4665-1227-X (hardback)",
  ISBN-13 =      "978-1-4665-1227-6 (hardback)",
  LCCN =         "Q183.9 .P69 2013",
  bibdate =      "Fri Nov 16 06:32:54 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/sgml2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Chapman and Hall/CRC numerical analysis and scientific
                 computing series",
  acknowledgement = ack-nhfb,
  subject =      "XML (Document markup language); Science; Data
                 processing; Numerical analysis; COMPUTERS / Internet /
                 General.; MATHEMATICS / General.; MATHEMATICS / Number
                 Systems.",
}

@Book{Singh:2013:LAS,
  author =       "Kuldeep Singh",
  title =        "Linear Algebra: Step by Step",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "viii + 608",
  year =         "2013",
  ISBN =         "0-19-965444-1 (paperback), 0-19-150776-8 (e-book)",
  ISBN-13 =      "978-0-19-965444-4 (paperback), 978-0-19-150776-2
                 (e-book)",
  LCCN =         "QA184.2 .S56 2014",
  bibdate =      "Mon Sep 15 18:07:52 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "Linear algebra is a fundamental area of mathematics,
                 and is arguably the most powerful mathematical tool
                 ever developed. It is a core topic of study within
                 fields as diverse as: business, economics, engineering,
                 physics, computer science, ecology, sociology,
                 demography and genetics. For an example of linear
                 algebra at work, one needs to look no further than the
                 Google search engine, which relies upon linear algebra
                 to rank the results of a search with respect to
                 relevance. The strength of the text is in the large
                 number of examples and the step-by-step explanation of
                 each topic as it is introduced\ldots{}.",
  abstract =     "Cover \\
                 Contents \\
                 1 Linear Equations and Matrices \\
                 1.1 Systems of Linear Equations \\
                 1.2 Gaussian Elimination \\
                 1.3 Vector Arithmetic \\
                 1.4 Arithmetic of Matrices \\
                 1.5 Matrix Algebra \\
                 1.6 The Transpose and Inverse of a Matrix \\
                 1.7 Types of Solutions \\
                 1.8 The Inverse Matrix Method \\
                 Des Higham Interview \\
                 2 Euclidean Space \\
                 2.1 Properties of Vectors \\
                 2.2 Further Properties of Vectors \\
                 2.3 Linear Independence \\
                 2.4 Basis and Spanning Set \\
                 Chao Yang Interview \\
                 3 General Vector Spaces \\
                 3.1 Introduction to General Vector Spaces \\
                 3.2 Subspace of a Vector Space \\
                 3.3 Linear Independence and Basis \\
                 3.4 Dimension 3.5 Properties of a Matrix \\
                 3.6 Linear Systems Revisited \\
                 Janet Drew Interview \\
                 4 Inner Product Spaces \\
                 4.1 Introduction to Inner Product Spaces \\
                 4.2 Inequalities and Orthogonality \\
                 4.3 Orthonormal Bases \\
                 4.4 Orthogonal Matrices \\
                 Anshul Gupta Interview \\
                 5 Linear Transformations \\
                 5.1 Introduction to Linear Transformations \\
                 5.2 Kernel and Range of a Linear Transformation \\
                 5.3 Rank and Nullity \\
                 5.4 Inverse Linear Transformations \\
                 5.5 The Matrix of a Linear Transformation \\
                 5.6 Composition and Inverse Linear Transformations \\
                 Petros Drineas Interview. \\
                 6 Determinants and the Inverse Matrix \\
                 6.1 Determinant of a Matrix \\
                 6.2 Determinant of Other Matrices \\
                 6.3 Properties of Determinants \\
                 6.4 LU Factorization \\
                 Fran{\c{c}}oise Tisseur Interview \\
                 7 Eigenvalues and Eigenvectors \\
                 7.1 Introduction to Eigenvalues and Eigenvectors \\
                 7.2 Properties of Eigenvalues and Eigenvectors \\
                 7.3 Diagonalization \\
                 7.4 Diagonalization of Symmetric Matrices \\
                 7.5 Singular Value Decomposition \\
                 Brief Solutions \\
                 Index",
  acknowledgement = ack-nhfb,
}

@Book{Anastassiou:2014:IRI,
  author =       "George A. Anastassiou and Iuliana F. Iatan",
  title =        "Intelligent Routines {II}: Solving Linear Algebra and
                 Differential Geometry with {Sage}",
  volume =       "58",
  publisher =    "Springer International Publishing",
  address =      "Cham, Switzerland",
  pages =        "xiv + 306",
  year =         "2014",
  DOI =          "http://dx.doi.org/10.1007/978-3-319-01967-3",
  ISBN =         "3-319-01966-X, 3-319-01967-8 (e-book)",
  ISBN-13 =      "978-3-319-01966-6, 978-3-319-01967-3 (e-book)",
  ISSN =         "1868-4394",
  LCCN =         "QA614 .A63 2014",
  bibdate =      "Mon Sep 15 18:20:07 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Intelligent systems reference library",
  URL =          "http://d-nb.info/1045077038/34;
                 http://nbn-resolving.de/urn:nbn:de:1111-201312062402;
                 http://www.springerlink.com/content/978-3-319-01967-3",
  abstract =     "This book contains numerous examples and problems as
                 well as many unsolved problems. It applies the
                 successful software Sage, used for mathematical
                 computation.",
  acknowledgement = ack-nhfb,
  author-dates = "1952--",
  remark =       "``ISSN: 1868-4394.''.",
  subject =      "Engineering; Algebras, Linear; Geometry, Differential;
                 Algebras, Linear.; Engineering.; Geometry,
                 Differential.",
  tableofcontents = "1. Vector spaces \\
                 2. Plane and straight line in E3 \\
                 3. Linear transformations \\
                 4. Euclidean vector spaces \\
                 5. Bilinear and quadratic forms \\
                 6. Differential geometry of curves and surfaces \\
                 7. Conics and quadrics",
}

@Book{Anonymous:2014:NMO,
  author =       "Eric Walter",
  title =        "Numerical Methods and Optimization: a Consumer Guide",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xv + 476",
  year =         "2014",
  DOI =          "http://dx.doi.org/10.1007/978-3-319-07671-3",
  ISBN =         "3-319-07670-1, 3-319-07671-X (e-book)",
  ISBN-13 =      "978-3-319-07670-6, 978-3-319-07671-3 (e-book)",
  LCCN =         "QA402.5 .W358 2014eb",
  bibdate =      "Tue Sep 9 14:27:31 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.loc.gov/catdir/enhancements/fy1411/2014940746-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1411/2014940746-t.html",
  acknowledgement = ack-nhfb,
  keywords =     "interval arithmetic",
  tableofcontents = "From Calculus to Computation \\
                 Notation and Norms \\
                 Solving Systems of Linear Equations \\
                 Solving Other Problems in Linear Algebra \\
                 Interpolation and Extrapolation \\
                 Integrating and Differentiating Functions \\
                 Solving Systems of Nonlinear Equations \\
                 Introduction to Optimization \\
                 Optimizing Without Constraint \\
                 Optimizing Under Constraints \\
                 Combinatorial Optimization \\
                 Solving Ordinary Differential Equations \\
                 Solving Partial Differential Equations \\
                 Assessing Numerical Errors \\
                 WEB Resources to go Further \\
                 Problems",
}

@Article{Borrelli:2014:BRB,
  author =       "Arianna Borrelli",
  title =        "Book Review: {{\booktitle{Le destin douloureux de
                 Walther Ritz (1878--1909), physicien th{\'e}oricien de
                 g{\'e}nie}}, Jean-Claude Pont (Ed.). Vallesia, Archive
                 de l'{\'E}tat du Valais, Sion (2012), ISBN
                 978-2-9700636-5-0}",
  journal =      j-HIST-MATH,
  volume =       "41",
  number =       "1",
  pages =        "107--110",
  month =        feb,
  year =         "2014",
  CODEN =        "HIMADS",
  ISSN =         "0315-0860 (print), 1090-249X (electronic)",
  ISSN-L =       "0315-0860",
  bibdate =      "Mon Apr 21 12:33:22 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/histmath.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0315086013000396",
  acknowledgement = ack-nhfb,
  fjournal =     "Historia Mathematica",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03150860/",
}

@Book{Brandt:2014:DAS,
  author =       "Siegmund Brandt",
  title =        "Data analysis: statistical and computational methods
                 for scientists and engineers",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Fourth",
  pages =        "????",
  year =         "2014",
  DOI =          "http://dx.doi.org/10.1007/978-3-319-03762-2",
  ISBN =         "3-319-03762-5 (e-book)",
  ISBN-13 =      "978-3-319-03762-2 (e-book), 978-3-319-03761-5,
                 978-3-319-03761-5",
  LCCN =         "QA273; QA273",
  bibdate =      "Sun May 4 11:27:21 MDT 2014",
  bibsource =    "catalog.princeton.edu:7090/voyager;
                 http://www.math.utah.edu/pub/tex/bib/java2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/probstat2010.bib;
                 libraries.colorado.edu:210/INNOPAC",
  abstract =     "The fourth edition of this successful textbook
                 presents a comprehensive introduction to statistical
                 and numerical methods for the evaluation of empirical
                 and experimental data. Equal weight is given to
                 statistical theory and practical problems. The concise
                 mathematical treatment of the subject matter is
                 illustrated by many examples, and for the present
                 edition a library of Java programs has been developed.
                 It comprises methods of numerical data analysis and
                 graphical representation as well as many example
                 programs and solutions to programming problems. The
                 programs (source code, Java classes, and documentation)
                 and extensive appendices to the main text are available
                 for free download from the books page at
                 www.springer.com. Contents Probabilities. Random
                 variables. Random numbers and the Monte Carlo Method.
                 Statistical distributions (binomial, Gauss, Poisson).
                 Samples. Statistical tests. Maximum Likelihood. Least
                 Squares. Regression. Minimization. Analysis of
                 Variance. Time series analysis. Audience The book is
                 conceived both as an introduction and as a work of
                 reference. In particular it addresses itself to
                 students, scientists and practitioners in science and
                 engineering as a help in the analysis of their data in
                 laboratory courses, working for bachelor or master
                 degrees, in thesis work, and in research and
                 professional work. The book is concise, but gives a
                 sufficiently rigorous mathematical treatment of
                 practical statistical methods for data analysis; it can
                 be of great use to all who are involved with data
                 analysis. Physicalia. This lively and erudite treatise
                 covers the theory of the main statistical tools and
                 their practical applications. A first rate university
                 textbook, and good background material for the
                 practicing physicist. Physics Bulletin.",
  acknowledgement = ack-nhfb,
  subject =      "Probabilities; Mathematical statistics",
  tableofcontents = "Introduction \\
                 Probabilities \\
                 Random Variables: Distributions \\
                 Computer-Generated Random Numbers: The Monte Carlo
                 Method \\
                 Some Important Distributions and Theorems \\
                 Samples \\
                 The Method of Maximum Likelihood \\
                 Testing Statistical Hypotheses \\
                 The Method of Least Squares \\
                 Function Minimization \\
                 Analysis of Variance \\
                 Linear and Polynomial Regression \\
                 Time-Series Analysis \\
                 (A) Matrix Calculations \\
                 (B) Combinatorics \\
                 (C) Formulas and Methods for the Computation of
                 Statistical Functions \\
                 (D) The Gamma Function and Related Functions: Methods
                 and Programs for their Computation \\
                 (E) Utility Programs \\
                 (F) The Graphics Class DatanGraphics \\
                 (G) Problems, Hints and Solutions and Programming
                 Problems \\
                 (H) Collection of Formulas \\
                 (I) Statistical Formulas \\
                 List of Computer Programs",
}

@Book{Bronson:2014:LAA,
  author =       "Richard Bronson and Gabriel B. Costa and John T.
                 Saccoman",
  title =        "Linear Algebra: Algorithms, Applications, and
                 Techniques",
  publisher =    pub-ELSEVIER-ACADEMIC,
  address =      pub-ELSEVIER-ACADEMIC:adr,
  edition =      "Third",
  pages =        "xi + 519",
  year =         "2014",
  ISBN =         "0-12-391420-5 (paperback), 0-12-397811-4 (e-book)",
  ISBN-13 =      "978-0-12-391420-0 (paperback), 978-0-12-397811-0
                 (e-book)",
  LCCN =         "QA184.2 .B76 2014",
  bibdate =      "Mon Sep 15 18:03:00 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.sciencedirect.com/science/book/9780123914200",
  acknowledgement = ack-nhfb,
  subject =      "Algebras, Linear; Lineare Algebra.",
  tableofcontents = "1: Matrices / 1--91 \\
                 2: Vector Spaces / 93--173 \\
                 3: Linear Transformations / 175--235 \\
                 4: Eigenvalues, Eigenvectors, and Differential
                 Equations / 237--288 \\
                 5: Applications of Eigenvalues / 289--321 \\
                 6: Euclidean Inner Product / 323--378 \\
                 Appendix A: Jordan Canonical Forms / 379--411 \\
                 Appendix B: Markov Chains / 413--424 \\
                 Appendix C: More on Spanning Trees of Graphs / 425--431
                 \\
                 Appendix D: Technology / 433--434 \\
                 Appendix E: Mathematical Induction / 435 \\
                 Answers and Hints to Selected Problems / 437--514",
}

@Book{Colonius:2014:DSL,
  author =       "Fritz Colonius and Wolfgang Kliemann",
  title =        "Dynamical Systems and Linear Algebra",
  volume =       "ume 158",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "????",
  year =         "2014",
  ISBN =         "0-8218-8319-4",
  ISBN-13 =      "978-0-8218-8319-8",
  LCCN =         "QA184.2 .C65 2014",
  MRclass =      "15-01 34-01 37-01 39-01 60-01 93-01",
  bibdate =      "Mon Sep 15 18:24:05 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Graduate studies in mathematics",
  acknowledgement = ack-nhfb,
  subject =      "Algebras, Linear; Topological dynamics; Linear and
                 multilinear algebra; matrix theory -- Instructional
                 exposition (textbooks, tutorial papers, etc.).;
                 Ordinary differential equations -- Instructional
                 exposition (textbooks, tutorial papers, etc.).;
                 Dynamical systems and ergodic theory -- Instructional
                 exposition (textbooks, tutorial papers, etc.).;
                 Difference and functional equations -- Instructional
                 exposition (textbooks, tutorial papers, etc.).;
                 Probability theory and stochastic processes --
                 Instructional exposition (textbooks, tutorial papers,
                 etc.).; Systems theory; control -- Instructional
                 exposition (textbooks, tutorial papers, etc.).",
}

@Book{Gruber:2014:MAL,
  author =       "Marvin H. J. Gruber",
  title =        "Matrix Algebra for Linear Models",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xv + 375",
  year =         "2014",
  ISBN =         "1-118-59255-7 (hardcover), 1-118-60881-X (e-book),
                 1-118-60874-7 (e-book), 1-118-80041-9 (e-book)",
  ISBN-13 =      "978-1-118-59255-7 (hardcover), 978-1-118-60881-4
                 (e-book), 978-1-118-60874-6 (e-book), 978-1-118-80041-6
                 (e-book)",
  LCCN =         "QA279 .G78 2014",
  bibdate =      "Mon Sep 15 18:17:46 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Linear models (Statistics); Matrices",
}

@Book{Hanson:2014:NCM,
  author =       "Richard J. Hanson and Tim Hopkins",
  title =        "Numerical computing with modern {Fortran}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xv + 244",
  year =         "2014",
  ISBN =         "1-61197-311-2 (paperback), 1-61197-312-0 (e-book)",
  ISBN-13 =      "978-1-61197-311-2 (paperback), 978-1-61197-312-9
                 (e-book)",
  LCCN =         "QA76.73.F25 H367 2013",
  bibdate =      "Wed Mar 12 11:09:16 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/fortran3.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/pvm.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Applied mathematics",
  abstract =     "The Fortran language standard has undergone
                 significant upgrades in recent years (1990, 1995, 2003,
                 and 2008). \booktitle{Numerical Computing with Modern
                 Fortran} illustrates many of these improvements through
                 practical solutions to a number of scientific and
                 engineering problems. Readers will discover: techniques
                 for modernizing algorithms written in Fortran; examples
                 of Fortran interoperating with C or C++ programs, plus
                 using the IEEE floating-point standard for efficiency;
                 illustrations of parallel Fortran programming using
                 coarrays, MPI, and OpenMP; and a supplementary website
                 with downloadable source codes discussed in the book.",
  acknowledgement = ack-nhfb,
  subject =      "FORTRAN (Computer program language); Numerical
                 analysis; Computer programs; Science; Mathematics",
  tableofcontents = "Introduction \\
                 The modern Fortran source \\
                 Modules for subprogram libraries \\
                 Generic subprograms \\
                 Sparse matrices, defined operations, overloaded
                 assignment \\
                 Object-oriented programming for numerical applications
                 \\
                 Recursion in Fortran \\
                 Case study: toward a modern QUADPACK routine \\
                 Case study: quadrature routine qag2003 \\
                 IEEE arithmetic features and exception handling \\
                 Interoperability with C \\
                 Defined operations for sparse matrix solutions \\
                 Case study: two sparse least-squares system examples
                 \\
                 Message passing with MPI in standard Fortran \\
                 Coarrays in standard Fortran \\
                 OpenMP in Fortran \\
                 Modifying source to remove obsolescent or deleted
                 features \\
                 Software testing \\
                 Compilers \\
                 Software tools \\
                 Fortran book code on SIAM web site \\
                 Bibliography \\
                 Index",
}

@Book{Hogben:2014:HLA,
  editor =       "Leslie Hogben",
  title =        "Handbook of Linear Algebra",
  publisher =    "CRC Press/Taylor and Francis Group",
  address =      "Boca Raton, FL, USA",
  edition =      "Second",
  pages =        "????",
  year =         "2014",
  ISBN =         "1-4665-0728-4 (hardcover)",
  ISBN-13 =      "978-1-4665-0728-9 (hardcover)",
  LCCN =         "QA184.2 .H36 2014",
  bibdate =      "Mon Sep 15 18:11:33 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Discrete mathematics and its applications",
  URL =          "http://marc.crcnetbase.com/isbn/9781466507296",
  abstract =     "Preface to the Second Edition: Both the format and
                 guiding vision of \booktitle{Handbook of Linear Algebra
                 remain} unchanged, but a substantial amount of new
                 material has been included in the second edition. The
                 length has increased from 1400 pages to 1900 pages.
                 There are 20 new chapters. Subjects such as Schur
                 complements, special types of matrices, generalized
                 inverses, matrices over nite elds, and invariant
                 subspaces are now treated in separate chapters. There
                 are additional chapters on applications of linear
                 algebra, for example, to epidemiology. There is a new
                 chapter on using the free open source computer
                 mathematics system Sage for linear algebra, which also
                 provides a general introduction to Sage. Additional
                 surveys of currently active research topics such as
                 tournaments are also included. Many of the existing
                 articles have been revised and updated, in some cases
                 adding a substantial amount of new material. For
                 example, the chapters on sign pattern matrices and on
                 applications to geometry have additional sections. As
                 was true in the rst edition, the topics range from the
                 most basic linear algebra to advanced topics including
                 background for active research areas. In this edition,
                 many of the chapters on advanced topics now include
                 Conjectures and Open Problems, either as a part of some
                 sections or as a new section at the end of the chapter.
                 The conjectures and questions listed in such sections
                 have been in the literature for more than ve years at
                 the time of writing, and often a number of partial
                 results have been obtained. In most cases, the current
                 (at the time of writing) state of research related to
                 the question is summarized as facts. Of course, there
                 is no guarantee that (years after the writing date)
                 such problems have not been solved (in fact, we hope
                 they \ldots{})''",
  acknowledgement = ack-nhfb,
  subject =      "Algebras, Linear; MATHEMATICS / General.; MATHEMATICS
                 / Algebra / General.; MATHEMATICS / Applied.",
  tableofcontents = "Front Cover \\
                 Dedication \\
                 Acknowledgments \\
                 The Editor \\
                 Contributors \\
                 Contents \\
                 Preface \\
                 Preliminaries \\
                 I. Linear Algebra \\
                 Linear Algebra \\
                 1. Vectors, Matrices, and Systems of Linear Equations
                 \\
                 2. Linear Independence, Span, and Bases \\
                 3. Linear Transformations \\
                 4. Determinants and Eigenvalues \\
                 5. Inner Product Spaces, Orthogonal Projection, Least
                 Squares, and Singular Value Decomposition \\
                 6. Canonical Forms for Similarity \\
                 7. Other Canonical Forms \\
                 8. Unitary Similarity, Normal Matrices, and Spectral
                 Theory \\
                 9. Hermitian and Positive Definite Matrices \\
                 10. Nonnegative Matrices and Stochastic Matrices \\
                 11. Partitioned Matrices \\
                 Topics in Linear Algebra \\
                 12. Schur Complements \\
                 13. Quadratic, Bilinear, and Sesquilinear Forms \\
                 14. Multilinear Algebra \\
                 15. Tensors and Hypermatrices \\
                 16. Matrix Equalities and Inequalities \\
                 17. Functions of Matrices \\
                 18. Matrix Polynomials \\
                 19. Matrix Equations \\
                 20. Invariant Subspaces \\
                 21. Matrix Perturbation Theory \\
                 22. Special Types of Matrices \\
                 23. Pseudospectra \\
                 24. Singular Values and Singular Value Inequalities \\
                 25. Numerical Range \\
                 26. Matrix Stability and Inertia \\
                 27. Generalized Inverses of Matrices \\
                 28. Inverse Eigenvalue Problems \\
                 29. Totally Positive and Totally Nonnegative Matrices
                 \\
                 30. Linear Preserver Problems \\
                 31. Matrices over Finite Fields \\
                 32. Matrices over Integral Domains \\
                 33. Similarity of Families of Matrices \\
                 34. Representations of Quivers and Mixed Graphs \\
                 35. Max-Plus Algebra \\
                 36. Matrices Leaving a Cone Invariant \\
                 37. Spectral Sets \\
                 II. Combinatorial Matrix Theory and Graphs \\
                 Combinatorial Matrix Theory \\
                 38. Combinatorial Matrix Theory \\
                 39. Matrices and Graphs \\
                 40. Digraphs and Matrices \\
                 41. Bipartite Graphs and Matrices \\
                 42. Sign Pattern Matrices: Topics in Combinatorial
                 Matrix Theory \\
                 43. Permanents \\
                 44. D-Optimal Matrices \\
                 45. Tournaments \\
                 46. Minimum Rank, Maximum Nullity, and Zero Forcing
                 Number of Graphs \\
                 47. Spectral Graph Theory \\
                 48. Algebraic Connectivity \\
                 49. Matrix Completion Problems \\
                 III. Numerical Methods \\
                 Numerical Methods for Linear Systems \\
                 50. Vector and Matrix Norms, Error Analysis,
                 Efficiency, and Stability \\
                 51. Matrix Factorizations and Direct Solution of Linear
                 Systems \\
                 52. Least Squares Solution of Linear Systems \\
                 53. Sparse Matrix Methods \\
                 54. Iterative Solution Methods for Linear Systems:
                 Numerical Methods for Eigenvalues \\
                 55. Symmetric Matrix Eigenvalue Techniques \\
                 56. Unsymmetric Matrix Eigenvalue Techniques \\
                 57. The Implicitly Restarted Arnoldi Method \\
                 58. Computation of the Singular Value Decomposition \\
                 59. Computing Eigenvalues and Singular Values to High
                 Relative Accuracy \\
                 60. Nonlinear Eigenvalue Problems \\
                 Topics in Numerical Linear Algebra \\
                 61. Fast Matrix Multiplication \\
                 62. Fast Algorithms for Structured Matrix Computations
                 \\
                 63. Structured Eigenvalue Problems:
                 Structure-Preserving Algorithms, Structured Error
                 Analysis \\
                 64. Large-Scale Matrix Computations",
}

@Book{Hunt:2014:GMB,
  author =       "Brian R. Hunt and Ronald L. Lipsman and Jonathan M.
                 (Jonathan Micah) Rosenberg",
  title =        "A guide to {MATLAB}: for beginners and experienced
                 users: updated for {MATLAB 8} and {Simulink 8}",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  edition =      "Third",
  pages =        "????",
  year =         "2014",
  ISBN =         "1-107-66222-2 (paperback)",
  ISBN-13 =      "978-1-107-66222-3 (paperback)",
  LCCN =         "QA297 .H86 2014",
  bibdate =      "Thu Aug 28 08:17:57 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "MATLAB is a high-level language and interactive
                 environment for numerical computation, visualization,
                 and programming. Using MATLAB, you can analyze data,
                 develop algorithms, and create models and applications.
                 The language, tools, and built-in math functions enable
                 you to explore multiple approaches and reach a solution
                 faster than with spreadsheets or traditional
                 programming languages.",
  acknowledgement = ack-nhfb,
  subject =      "MATLAB; Numerical analysis; Data processing;
                 MATHEMATICS / General.",
  tableofcontents = "Preface \\
                 1. Getting started \\
                 2. MATLAB basics \\
                 3. Interacting with MATLAB \\
                 Practice Set A. Algebra and arithmetic \\
                 4. Beyond the basics \\
                 5. MATLAB graphics \\
                 6. MATLAB programming \\
                 7. Publishing and M-books \\
                 Practice Set B. Math, graphics, and programming \\
                 8. MuPAD \\
                 9. Simulink \\
                 10. GUIs \\
                 11. Applications \\
                 Practice Set C. Developing your MATLAB skills \\
                 12. Troubleshooting \\
                 Solutions to the practice sets \\
                 Glossary \\
                 Index",
}

@Book{Kushner:2014:NMS,
  author =       "Harold J. Kushner and Paul Dupuis",
  title =        "Numerical Methods for Stochastic Control Problems in
                 Continuous Time",
  volume =       "24",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xii + 476",
  year =         "2014",
  DOI =          "http://dx.doi.org/10.1007/978-1-4613-0007-6",
  ISBN =         "1-4612-6531-2",
  ISBN-13 =      "978-1-4612-6531-3",
  ISSN =         "0172-4568",
  ISSN-L =       "0172-4568",
  LCCN =         "QA273.A1-274.9; QA274-274.9",
  bibdate =      "Tue Apr 29 18:44:55 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/probstat2010.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  series =       "Stochastic Modelling and Applied Probability",
  abstract =     "This book presents a comprehensive development of
                 effective numerical methods for stochastic control
                 problems in continuous time. The process models are
                 diffusions, jump-diffusions, or reflected diffusions of
                 the type that occur in the majority of current
                 applications. All the usual problem formulations are
                 included, as well as those of more recent interest such
                 as ergodic control, singular control and the types of
                 reflected diffusions used as models of queuing
                 networks. Applications to complex deterministic
                 problems are illustrated via application to a large
                 class of problems from the calculus of variations. The
                 general approach is known as the Markov Chain
                 Approximation Method. The required background to
                 stochastic processes is surveyed, there is an extensive
                 development of methods of approximation, and a chapter
                 is devoted to computational techniques. The book is
                 written on two levels, that of practice (algorithms and
                 applications) and that of the mathematical development.
                 Thus the methods and use should be broadly accessible.
                 This update to the first edition will include added
                 material on the control of the 'jump term' and the
                 'diffusion term.' There will be additional material on
                 the deterministic problems, solving the Hamilton-Jacobi
                 equations, for which the authors' methods are still
                 among the most useful for many classes of problems. All
                 of these topics are of great and growing current
                 interest.",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; System theory; Mathematical optimization;
                 Distribution (Probability theory)",
  tableofcontents = "Review of Continuous Time Models \\
                 Controlled Markov Chains \\
                 Dynamic Programming Equations \\
                 Markov Chain Approximation Method \\
                 The Approximating Markov Chains \\
                 Computational Methods \\
                 The Ergodic Cost Problem \\
                 Heavy Traffic and Singular Control \\
                 Weak Convergence and the Characterization of Processes
                 \\
                 Convergence Proofs \\
                 Convergence Proofs Continued \\
                 Finite Time and Filtering Problems \\
                 Controlled Variance and Jumps \\
                 Problems from the Calculus of Variations: Finite Time
                 Horizon \\
                 Problems from the Calculus of Variations: Infinite Time
                 Horizon \\
                 The Viscosity Solution Approach",
}

@Book{Lay:2014:LAAb,
  author =       "David C. Lay",
  title =        "Linear Algebra and its Applications",
  publisher =    "Pearson Education Limited",
  address =      "Harlow, Essex",
  edition =      "Fourth",
  pages =        "ii + 784",
  year =         "2014",
  ISBN =         "1-292-02055-5",
  ISBN-13 =      "978-1-292-02055-6",
  LCCN =         "????",
  bibdate =      "Mon Sep 15 18:22:44 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  acknowledgement = ack-nhfb,
  remark =       "Oorspr. uitg.: 1994.",
  subject =      "Lineaire algebra.; Toepassingen.",
  tableofcontents = "Linear Equations in Linear Algebra \\
                 Matrix Algebra \\
                 Determinants \\
                 Vector Spaces \\
                 Eigenvalues and Eigenvectors \\
                 Orthogonality and Least Squares \\
                 Symmetric Matrices and Quadratic Forms \\
                 The Geometry of Vector Spaces \\
                 Appendix: Uniqueness of the Reduced Echelon Form \\
                 Complex Numbers \\
                 Study guide for each chapter",
}

@Book{Miller:2014:NAE,
  author =       "G. Miller",
  title =        "Numerical Analysis for Engineers and Scientists",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "x + 572",
  year =         "2014",
  DOI =          "http://dx.doi.org/10.1017/CBO9781139108188",
  ISBN =         "1-107-02108-1 (hardcover), 1-139-10818-2 (ebook)",
  ISBN-13 =      "978-1-107-02108-2 (hardcover), 978-1-139-10818-8
                 (ebook)",
  LCCN =         "QA297 .M55 2014",
  bibdate =      "Tue Aug 12 15:47:25 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  acknowledgement = ack-nhfb,
}

@Book{Nassif:2014:INA,
  author =       "Nabil Nassif and Dolly Khuwayri Fayyad",
  title =        "Introduction to Numerical Analysis and Scientific
                 Computing",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "xix + 311",
  year =         "2014",
  ISBN =         "1-4665-8948-5 (hardcover)",
  ISBN-13 =      "978-1-4665-8948-3 (hardcover)",
  LCCN =         "QA297 .N37 2014",
  MRclass =      "65-01",
  MRnumber =     "3112293",
  bibdate =      "Tue May 27 11:27:40 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "Designed for a one-semester course on the subject,
                 this classroom-tested text presents fundamental
                 concepts of numerical mathematics and explains how to
                 implement and program numerical methods. Drawing on
                 their years of teaching students in mathematics,
                 engineering, and the sciences, the authors cover
                 floating-point number representations, nonlinear
                 equations, linear algebra concepts, the Lagrange
                 interpolation theorem, numerical differentiation and
                 integration, and ODEs. They also focus on the
                 implementation of the algorithms using MATLAB.\par

                 This work is the result of several years of teaching a
                 one-semester course on Numerical Analysis and Scienti c
                 Computing, addressed primarily to stu- dents in
                 Mathematics, Engineering, and Sciences. Our purpose is
                 to provide those students with fundamental concepts of
                 Numerical Mathematics and at the same time stir their
                 interest in the art of implementing and programming
                 Numerical Methods.",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis; Textbooks; Computer science;
                 Mathematics; MATHEMATICS / Advanced.; MATHEMATICS /
                 Applied.; MATHEMATICS / Number Systems.",
}

@Book{Quarteroni:2014:SCM,
  author =       "Alfio Quarteroni and Fausto Saleri and Paola
                 Gervasio",
  title =        "Scientific computing with {Matlab} and {Octave}",
  volume =       "2",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xviii + 450 (est.)",
  year =         "2014",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-45367-0",
  ISBN =         "3-642-45366-X (hard cover)",
  ISBN-13 =      "978-3-642-45366-3 (hard cover)",
  LCCN =         "????",
  bibdate =      "Sun Apr 13 16:57:12 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Texts in Computational Science and Engineering",
  URL =          "http://link.springer.com/book/10.1007/978-3-642-45367-0",
  acknowledgement = ack-nhfb,
  tableofcontents = "Front Matter / i--xviii \\
                 What can't be ignored / 1--40 \\
                 Nonlinear equations / 41--76 \\
                 Approximation of functions and data / 77--111 \\
                 Numerical differentiation and integration / 113--136
                 \\
                 Linear systems / 137--191 \\
                 Eigenvalues and eigenvectors / 193--211 \\
                 Numerical optimization / 213--269 \\
                 Ordinary differential equations / 271--328 \\
                 Numerical approximation of boundary-value problems /
                 329--376 \\
                 Solutions of the exercises / 377--428 \\
                 Back Matter / 429--450",
}

@Book{Stewart:2014:PS,
  author =       "John Stewart",
  title =        "Python for scientists",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "????",
  year =         "2014",
  ISBN =         "1-107-06139-3 (hardcover), 1-107-68642-3",
  ISBN-13 =      "978-1-107-06139-2 (hardcover), 978-1-107-68642-7",
  LCCN =         "Q183.9 .S865 2014",
  bibdate =      "Thu Jun 26 09:42:41 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/python.bib",
  URL =          "http://assets.cambridge.org/97811070/61392/cover/9781107061392.jpg",
  abstract =     "Python is a free, open source, easy-to-use software
                 tool that offers a significant alternative to
                 proprietary packages such as MATLAB and Mathematica.
                 This book covers everything the working scientist needs
                 to know to start using Python effectively. The author
                 explains scientific Python from scratch, showing how
                 easy it is to implement and test non-trivial
                 mathematical algorithms and guiding the reader through
                 the many freely available add-on modules. A range of
                 examples, relevant to many different fields, illustrate
                 the program's capabilities. In particular, readers are
                 shown how to use pre-existing legacy code (usually in
                 Fortran77) within the Python environment, thus avoiding
                 the need to master the original code. Instead of
                 exercises the book contains useful snippets of tested
                 code which the reader can adapt to handle problems in
                 their own field, allowing students and researchers with
                 little computer expertise to get up and running as soon
                 as possible.",
  acknowledgement = ack-nhfb,
  author-dates = "1943 July 1",
  subject =      "Science; Data processing; Python (Computer program
                 language); COMPUTERS / General.",
  tableofcontents = "Preface \\
                 1. Introduction \\
                 2. Getting started with IPython \\
                 3. A short Python tutorial \\
                 4. Numpy \\
                 5. Two-dimensional graphics \\
                 6. Three-dimensional graphics \\
                 7. Ordinary differential equations \\
                 8. Partial differential equations: a pseudospectral
                 approach \\
                 9. Case study: multigrid \\
                 Appendix A. Installing a Python environment \\
                 Appendix B. Fortran77 subroutines for pseudospectral
                 methods \\
                 References \\
                 Index",
}

%%% ====================================================================
%%% Cross-referenced entries must come last; entries are sorted by year,
%%% and then by citation label.

@Proceedings{Bultheel:2010:BNA,
  editor =       "Adhemar Bultheel and Ronald Cools",
  booktitle =    "{The birth of numerical analysis}",
  title =        "{The birth of numerical analysis}",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xvii + 221",
  year =         "2010",
  ISBN =         "981-283-625-X",
  ISBN-13 =      "978-981-283-625-0",
  LCCN =         "QA297 .B54 2010",
  bibdate =      "Mon Aug 23 11:06:23 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "The 1947 paper by John von Neumann and Herman
                 Goldstine, ``Numerical Inverting of Matrices of High
                 Order'' (Bulletin of the AMS, Nov. 1947), is considered
                 as the birth certificate of numerical analysis. Since
                 its publication, the evolution of this domain has been
                 enormous. This book is a unique collection of
                 contributions by researchers who have lived through
                 this evolution, testifying about their personal
                 experiences and sketching the evolution of their
                 respective subdomains since the early years.",
  acknowledgement = ack-nhfb,
  remark =       "Proceedings of a symposium held at the Department of
                 Computer Science of the K.U. Leuven, October 29--30,
                 2007.",
  subject =      "numerical analysis; congresses; history",
}

@Book{Dick:2010:DNS,
  author =       "J. (Josef) Dick and Friedrich Pillichshammer",
  booktitle =    "Digital nets and sequences: discrepancy and
                 quasi-Monte Carlo integration",
  title =        "Digital nets and sequences: discrepancy and
                 quasi-Monte Carlo integration",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xvii + 600",
  year =         "2010",
  ISBN =         "0-521-19159-9 (hardback)",
  ISBN-13 =      "978-0-521-19159-3 (hardback)",
  LCCN =         "QA298 .D53 2010",
  bibdate =      "Fri Mar 9 13:05:10 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://assets.cambridge.org/97805211/91593/cover/9780521191593.jpg",
  abstract =     "This book is a comprehensive treatment of contemporary
                 quasi-Monte Carlo methods, digital nets and sequences,
                 and discrepancy theory which starts from scratch with
                 detailed explanations of the basic concepts and then
                 advances to current methods used in research. As
                 deterministic versions of the Monte Carlo method,
                 quasi-Monte Carlo rules have increased in popularity,
                 with many fruitful applications in mathematical
                 practice. These rules require nodes with good uniform
                 distribution properties, and digital nets and sequences
                 in the sense of Niederreiter are known to be excellent
                 candidates. Besides the classical theory, the book
                 contains chapters on reproducing kernel Hilbert spaces
                 and weighted integration, duality theory for digital
                 nets, polynomial lattice rules, the newest
                 constructions by Niederreiter and Xing and many more.
                 The authors present an accessible introduction to the
                 subject based mainly on material taught in
                 undergraduate courses with numerous examples, exercises
                 and illustrations.",
  acknowledgement = ack-nhfb,
  subject =      "Monte Carlo method; nets (mathematics); sequences
                 (mathematics); numerical integration; digital filters
                 (mathematics)",
  tableofcontents = "Preface \\
                 Notation \\
                 1. Introduction \\
                 2. Quasi-Monte Carlo integration, discrepancy and
                 reproducing kernel Hilbert spaces \\
                 3. Geometric discrepancy \\
                 4. Nets and sequences \\
                 5. Discrepancy estimates and average type results \\
                 6. Connections to other discrete objects \\
                 7. Duality Theory \\
                 8. Special constructions of digital nets and sequences
                 \\
                 9. Propagation rules for digital nets \\
                 10. Polynomial lattice point sets \\
                 11. Cyclic digital nets and hyperplane nets \\
                 12. Multivariate integration in weighted Sobolev spaces
                 \\
                 13. Randomisation of digital nets \\
                 14. The decay of the Walsh coefficients of smooth
                 functions \\
                 15. Arbitrarily high order of convergence of the
                 worst-case error \\
                 16. Explicit constructions of point sets with best
                 possible order of $L^2$-discrepancy \\
                 Appendix A. Walsh functions \\
                 Appendix B. Algebraic function fields \\
                 References \\
                 Index",
}

@Book{Forster:2010:FSC,
  editor =       "Brigitte Forster and Peter Robert Massopust",
  booktitle =    "Four short courses on harmonic analysis: wavelets,
                 frames, time-frequency methods, and applications to
                 signal and image analysis",
  title =        "Four short courses on harmonic analysis: wavelets,
                 frames, time-frequency methods, and applications to
                 signal and image analysis",
  publisher =    pub-BIRKHAUSER-BOSTON,
  address =      pub-BIRKHAUSER-BOSTON:adr,
  pages =        "xvii + 247",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/978-0-8176-4891-6",
  ISBN =         "0-8176-4891-7, 0-8176-4890-9",
  ISBN-13 =      "978-0-8176-4891-6, 978-0-8176-4890-9",
  LCCN =         "QA403 .F68 2010",
  bibdate =      "Mon Aug 23 11:30:53 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 library.tufts.edu:210/INNOPAC",
  note =         "With contributions by Ole Christensen, Karlheinz
                 Gr{\"o}chenig, Demetrio Labate, Pierre Vandergheynst,
                 Guido Weiss, and Yves Wiaux.",
  series =       "Applied and numerical harmonic analysis",
  acknowledgement = ack-nhfb,
  subject =      "mathematics; Fourier analysis; harmonic analysis;
                 abstract harmonic analysis; signal, image and speech
                 processing; theoretical, mathematical and computational
                 physics",
}

@Proceedings{Fukuda:2010:MSI,
  editor =       "Komei Fukuda and Joris {Van der Hoeven} and Michael
                 Joswig and Nobuki Takayama",
  booktitle =    "{Mathematical Software --- ICMS 2010: Third
                 International Congress on Mathematical Software, Kobe,
                 Japan, September 13--17, 2010, Proceedings}",
  title =        "{Mathematical Software --- ICMS 2010: Third
                 International Congress on Mathematical Software, Kobe,
                 Japan, September 13--17, 2010, Proceedings}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 368",
  year =         "2010",
  ISBN =         "3-642-15581-2 (paperback)",
  ISBN-13 =      "978-3-642-15581-9 (paperback)",
  LCCN =         "QA76.95 .I5654 2010",
  bibdate =      "Thu May 22 16:13:39 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Lecture Notes in Computer Science / Theoretical
                 Computer Science and General Issues Ser.",
  URL =          "http://link.springer.com/openurl?genre=book&isbn=978-3-642-15581-9",
  abstract =     "This book constitutes the refereed proceedings of the
                 Third International Congress on Mathematical Software,
                 ICMS 2010, held in Kobe, Japan in September 2010. The
                 49 revised full papers presented were carefully
                 reviewed and selected for presentation. The papers are
                 organized in topical sections on computational group
                 theory, computation of special functions, computer
                 algebra and reliable computing, computer tools for
                 mathematical editing and scientific visualization,
                 exact numeric computation for algebraic and geometric
                 computation, formal proof, geometry and visualization,
                 Groebner bases and applications, number theoretical
                 software as well as software for optimization and
                 polyhedral computation.",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
  meetingname =  "International Congress of Mathematical Software (3rd :
                 2010 : K{\=o}be-shi, Japan)",
  subject =      "Mathematics; Data processing; Congresses; Computer
                 software; Computer software.; Data processing.",
}

@Book{Gilli:2011:NMO,
  editor =       "Manfred Gilli and Dietmar Maringer and Enrico
                 Schumann",
  booktitle =    "Numerical Methods and Optimization in Finance",
  title =        "Numerical Methods and Optimization in Finance",
  publisher =    pub-ELSEVIER-ACADEMIC,
  address =      pub-ELSEVIER-ACADEMIC:adr,
  pages =        "xv + 584",
  year =         "2011",
  ISBN =         "0-12-375662-6",
  ISBN-13 =      "978-0-12-375662-6",
  LCCN =         "HG106 .G55 2011",
  bibdate =      "Wed Feb 8 07:35:45 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Finance; Mathematical methods",
}

@Book{Saad:2011:NML,
  author =       "Youcef Saad",
  booktitle =    "Numerical Methods for Large Eigenvalue Problems",
  title =        "Numerical Methods for Large Eigenvalue Problems",
  volume =       "66",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  edition =      "Second",
  pages =        "xv + 276",
  year =         "2011",
  ISBN =         "1-61197-072-5",
  ISBN-13 =      "978-1-61197-072-2",
  LCCN =         "QA188 .S18 2011",
  bibdate =      "Fri Jun 10 21:37:06 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Classics in applied mathematics",
  URL =          "http://www.cs.umn.edu/~saad/eig_book_2ndEd.pdf",
  acknowledgement = ack-nhfb,
  subject =      "Nonsymmetric matrices; Eigenvalues",
}

@Proceedings{Blowey:2012:FNA,
  editor =       "James Blowey and Max Jensen",
  booktitle =    "{Frontiers in Numerical Analysis --- Durham 2010}",
  title =        "{Frontiers in Numerical Analysis --- Durham 2010}",
  volume =       "85",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xi + 282",
  pages =        "xi + 282",
  year =         "2012",
  CODEN =        "LNCSA6",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-23914-4",
  ISBN =         "3-642-23913-7 (print), 3-642-23914-5 (e-book)",
  ISBN-13 =      "978-3-642-23913-7 (print), 978-3-642-23914-4
                 (e-book)",
  ISSN =         "1439-7358",
  ISSN-L =       "1439-7358",
  LCCN =         "????",
  bibdate =      "Thu Dec 20 14:35:54 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/lncse.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  note =         "Proceedings of the Twelfth LMS--EPSRC Summer School in
                 Computational Mathematics and Scientific Computation
                 held at the University of Durham, UK, 25--31 July
                 2010.",
  series =       ser-LNCSE,
  URL =          "http://link.springer.com/book/10.1007/978-3-642-23914-4;
                 http://www.springerlink.com/content/978-3-642-23914-4",
  acknowledgement = ack-nhfb,
  series-URL =   "http://link.springer.com/bookseries/3527",
}

@Proceedings{Graham:2012:NAM,
  editor =       "Ivan G. Graham and Thomas Y. Hou and Omar Lakkis and
                 Robert Scheichl",
  booktitle =    "Numerical Analysis of Multiscale Problems",
  title =        "Numerical Analysis of Multiscale Problems",
  volume =       "83",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "vii + 363",
  pages =        "vii + 363",
  year =         "2012",
  CODEN =        "LNCSA6",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-22061-6",
  ISBN =         "3-642-22060-6 (print), 3-642-22061-4 (e-book)",
  ISBN-13 =      "978-3-642-22060-9 (print), 978-3-642-22061-6
                 (e-book)",
  ISSN =         "1439-7358",
  ISSN-L =       "1439-7358",
  LCCN =         "QA297 .N844 2012",
  bibdate =      "Thu Dec 20 14:35:50 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/lncse.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  note =         "Ten invited expository articles from the 91st LMS
                 Durham Symposium on {\em Numerical Analysis of
                 Multiscale Problems}, Durham, UK, 5--15 July 2010.",
  series =       ser-LNCSE,
  URL =          "http://link.springer.com/book/10.1007/978-3-642-22061-6;
                 http://www.springerlink.com/content/978-3-642-22061-6",
  acknowledgement = ack-nhfb,
  series-URL =   "http://link.springer.com/bookseries/3527",
}

@Proceedings{Achdou:2013:HJE,
  editor =       "Yves Achdou and Guy Barles and Hitoshi Ishii and
                 Grigory L. Litvinov",
  booktitle =    "{Hamilton--Jacobi Equations: Approximations, Numerical
                 Analysis and Applications: Cetraro, Italy 2011}",
  title =        "{Hamilton--Jacobi Equations: Approximations, Numerical
                 Analysis and Applications: Cetraro, Italy 2011}",
  volume =       "2074",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xv + 301",
  year =         "2013",
  CODEN =        "LNMAA2",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-36433-4",
  ISBN =         "3-642-36432-2 (print), 3-642-36433-0 (e-book)",
  ISBN-13 =      "978-3-642-36432-7 (print), 978-3-642-36433-4
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 2074; QA3 .L28 no. 2074; QA316 .C56
                 2011",
  bibdate =      "Tue May 6 14:56:48 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/lnm2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://link.springer.com/book/10.1007/978-3-642-36433-4;
                 http://www.springerlink.com/content/978-3-642-36433-4",
  acknowledgement = ack-nhfb,
  remark =       "Editors: Paola Loreti, Nicoletta Anna Tchou",
  series-URL =   "http://link.springer.com/bookseries/304",
}

@Book{Arfken:2013:MMP,
  author =       "George B. (George Brown) Arfken and Hans-J{\"u}rgen
                 Weber and Frank E. Harris",
  booktitle =    "Mathematical Methods for Physicists: a Comprehensive
                 Guide",
  title =        "Mathematical Methods for Physicists: a Comprehensive
                 Guide",
  publisher =    pub-ELSEVIER-ACADEMIC,
  address =      pub-ELSEVIER-ACADEMIC:adr,
  edition =      "Seventh",
  pages =        "xiii + 1205",
  year =         "2013",
  ISBN =         "0-12-384654-4 (hardcover)",
  ISBN-13 =      "978-0-12-384654-9 (hardcover)",
  LCCN =         "QA37.3 .A74 2013",
  bibdate =      "Thu May 3 08:02:53 MDT 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/h/harris-frank-e.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/master.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 jenson.stanford.edu:2210/unicorn",
  acknowledgement = ack-nhfb,
  subject =      "Mathematical analysis; Mathematical physics",
  tableofcontents = "Preface / xi--xiii \\
                 1: Mathematical Preliminaries / 1--82 \\
                 2: Determinants and Matrices / 83--121 \\
                 3: Vector Analysis / 123--203 \\
                 4: Tensors and Differential Forms / 205--249 \\
                 5: Vector Spaces / 251--297 \\
                 6: Eigenvalue Problems / 299--328 \\
                 7: Ordinary Differential Equations / 329--380 \\
                 8: Sturm--Liouville Theory / 381--399 \\
                 9: Partial Differential Equations / 401--445 \\
                 10: Green's Functions / 447--467 \\
                 11: Complex Variable Theory / 469--550 \\
                 12: Further Topics in Analysis / 551--598 \\
                 13: Gamma Function / 599--641 \\
                 14: Bessel Functions / 643--713 \\
                 15: Legendre Functions / 715--772 \\
                 16: Angular Momentum / 773--814 \\
                 17: Group Theory / 815--870 \\
                 18: More Special Functions / 871--933 \\
                 19: Fourier Series / 935--962 \\
                 20: Integral Transforms / 963--1046 \\
                 21: Integral Equations / 1047--1079 \\
                 22: Calculus of Variations / 1081--1124 \\
                 23: Probability and Statistics / 1125--1179 \\
                 Index / 1181--1205",
}