%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "1.19",
%%% date = "16 August 2014",
%%% time = "17:28:16 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 = "03941 3528 16220 168501",
%%% 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 1.19, the year coverage looked
%%% like this:
%%%
%%% 2010 ( 30) 2012 ( 16) 2014 ( 7)
%%% 2011 ( 26) 2013 ( 8)
%%%
%%% Article: 3
%%% Book: 79
%%% Proceedings: 5
%%%
%%% Total entries: 87
%%%
%%% 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.
%%%
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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-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{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{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{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",
}
@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{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++}",
volume = "9",
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",
ISBN-13 = "978-1-61197-216-0",
MRclass = "65-01 (65-04)",
MRnumber = "2962283",
bibdate = "Tue May 27 11:24:21 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
note = "Numerical methods in a unified object-oriented
approach",
series = "Computational Science \& Engineering",
acknowledgement = ack-nhfb,
}
@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{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{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{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.",
}
@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{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{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{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{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,
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,
bookpages = "xi + 282",
series-URL = "http://link.springer.com/bookseries/3527",
}
@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.",
}
@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,
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,
bookpages = "vii + 363",
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",
}
@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{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",
}