%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Marsha J. Berger",
%%%     version         = "2.17",
%%%     date            = "11 March 2014",
%%%     time            = "19:01:21 MST",
%%%     filename        = "berger-marsha-j.bib",
%%%     address         = "Courant Institute - New York University
%%%                        251 Mercer St.
%%%                        New York, NY
%%%                        USA",
%%%     telephone       = "+1 212 998 3305",
%%%     FAX             = "+1 212 995 4121",
%%%     checksum        = "02298 2246 9952 98245",
%%%     email           = "berger at cims.nyu.edu (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "Numerical Analysis",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a COMPLETE bibliography of
%%%                        publications of Marsha J. Berger.  The
%%%                        companion LaTeX file berger-marsha-j.ltx can
%%%                        be used to typeset this bibliography.
%%%
%%%                        At version 2.17, the year coverage looked
%%%                        like this:
%%%
%%%                             1975 (   1)    1988 (   1)    2001 (   1)
%%%                             1976 (   0)    1989 (   5)    2002 (   5)
%%%                             1977 (   0)    1990 (   3)    2003 (   3)
%%%                             1978 (   1)    1991 (   2)    2004 (   4)
%%%                             1979 (   0)    1992 (   1)    2005 (   6)
%%%                             1980 (   0)    1993 (   5)    2006 (   3)
%%%                             1981 (   2)    1994 (   4)    2007 (   1)
%%%                             1982 (   1)    1995 (   5)    2008 (   2)
%%%                             1983 (   6)    1996 (   4)    2009 (   1)
%%%                             1984 (   2)    1997 (   2)    2010 (   0)
%%%                             1985 (   8)    1998 (   4)    2011 (   1)
%%%                             1986 (   1)    1999 (   3)    2012 (   1)
%%%                             1987 (   3)    2000 (   1)    2013 (   1)
%%%
%%%                             Article:         28
%%%                             Book:             2
%%%                             InCollection:    11
%%%                             InProceedings:   21
%%%                             Manual:           1
%%%                             Misc:             1
%%%                             PhdThesis:        1
%%%                             Proceedings:     16
%%%                             TechReport:      13
%%%
%%%                             Total entries:   94
%%%
%%%                        This file is available as part of the BibNet
%%%                        Project.  The master copy is available for
%%%                        public access on ftp.math.utah.edu in the
%%%                        directory tree /pub/bibnet/authors.  It is
%%%                        mirrored to netlib.bell-labs.com in the directory
%%%                        tree /netlib/bibnet/authors, from which it is
%%%                        available via anonymous ftp and the Netlib
%%%                        service.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

@Preamble{"\hyphenation{Le-Veque}"}

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

@String{j-ACTA-NUMERICA         = "Acta Numerica"}

@String{j-AIAA                  = "AIAA Journal"}

@String{j-COMM-PURE-APPL-MATH   = "Communications on Pure and Applied
                                  Mathematics (New York)"}

@String{j-IEEE-TRANS-COMPUT     = "IEEE Transactions on Computers"}

@String{j-IJHPCA                = "The International Journal of High Performance
                                  Computing Applications"}

@String{j-INT-J-COMPUT-FLUID-DYN = "International Journal of Computational
                                  Fluid Dynamics"}

@String{j-J-COMPUT-PHYS         = "Journal of computational physics"}

@String{j-J-PAR-DIST-COMP       = "Journal of Parallel and Distributed
                                  Computing"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-PHILOS-TRANS-R-SOC-LOND-SER-A = "Philosophical Transactions of the
                                  Royal Society A: Mathematical, Physical, and
                                  Engineering Sciences"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-COMP       = "SIAM Journal on Scientific Computing"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and Statistical
                                  Computing"}

%%% ====================================================================
%%% Publisher abbreviations:

@String{pub-ACADEMIC            = "Academic Press"}

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

@String{pub-ACM                 = "ACM Press"}

@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AIAA                = "American Institute of Aeronautics and
                                  Astronautics"}

@String{pub-AIAA:adr            = "Aerospace Center, 370 L'Enfant Promenade,
                                  SW, Washington, DC 20024-2518"}

@String{pub-AMS                 = "American Mathematical Society"}

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

@String{pub-BIRKHAUSER          = "Birkh{\"{a}}user"}

@String{pub-BIRKHAUSER:adr      = "Cambridge, MA, USA; Berlin, Germany; Basel,
                                  Switzerland"}

@String{pub-CRC                 = "CRC Press"}

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

@String{pub-IEEE                = "IEEE Computer Society Press"}

@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-IMACS               = "IMACS"}

@String{pub-IMACS:adr           = "Department of Computer Science, Rutgers
                                    University, New Brunswick, NJ, USA"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}

@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}

@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-STUDENTLITTERATUR   = "Studentlitteratur"}

@String{pub-STUDENTLITTERATUR:adr = "Lund, Sweden"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}

@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. Pte. Ltd."}

@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128"}

%%% ====================================================================
%%% Bibliography entries:

@TechReport{Allender:1975:VNC,
  author =       "J. Allender and K. Saunders and M. Berger",
  title =        "Verification of Numerical Circulation Models for Lake
                 Michigan",
  number =       "43",
  institution =  "Canada Centre for Inland Waters",
  address =      "Burlington, ON, Canada",
  year =         "1975",
  bibdate =      "Fri Oct 26 18:13:53 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  series =       "Scientific Series",
  acknowledgement = ack-nhfb,
}

@Manual{Berger:1978:NAP,
  author =       "M. Berger and J. Bolstad and others",
  title =        "Numerical Analysis Program Library User's Guide",
  organization = "Stanford Linear Accelerator Center Computing
                 Services",
  address =      "Stanford, CA, USA",
  year =         "1978",
  bibdate =      "Fri Oct 26 18:12:56 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Berger:1981:PCM,
  author =       "Marsha Berger and J. Oliger and G. Rodrigue",
  title =        "Predictor-Corrector Methods for the Solution of
                 Time-Dependent Parabolic Problems on Parallel
                 Processors",
  crossref =     "Schultz:1981:EPS",
  pages =        "197--201",
  year =         "1981",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Lawrence Livermore Report UCRL-87522.",
  acknowledgement = ack-nhfb,
}

@PhdThesis{Berger:1982:AMR,
  author =       "Marsha J. Berger",
  title =        "Adaptive Mesh Refinement for Hyperbolic Partial
                 Differential Equations",
  type =         "{Ph.D. dissertation}",
  school =       "Department of Computer Science, Stanford University",
  address =      "Stanford, CA, USA",
  pages =        "vi + 118",
  month =        aug,
  year =         "1982",
  bibdate =      "Mon Oct 22 18:06:16 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Computer Science Report No. STAN-CS-82-924.",
  abstract =     "In many time dependent simulations, the solution on
                 most of the domain will be fairly smooth, with
                 discontinuities or highly oscillatory phenomena
                 occurring over only a small fraction of the domain. In
                 problems such as these, a mesh refinement approach can
                 be the most efficient, and often the only practical,
                 solution method. Refined grids with smaller and smaller
                 mesh spacing are placed only where they are needed.
                 Since we are solving a time dependent problem, the
                 regions needing refinement will change, and therefore
                 our grids must adapt with time as well.

                 This thesis presents a method based on the idea of
                 multiple, component grids for the solution of
                 hyperbolic partial differential equations (pde) using
                 explicit finite difference techniques. Based upon
                 Richardson-type estimates of the local truncation
                 error, refined grids are created or existing ones
                 removed to attain a given accuracy for a minimum amount
                 of work. In addition, this approach is recursive in
                 that fine grids can themselves contain even finer
                 subgrids. Those grids with finer mesh width in space
                 will also have a smaller mesh width in time, making
                 this a mesh refinement algorithm in time and space.

                 In chapter 2 we present the full mesh refinement
                 algorithm. This includes a discussion of the error
                 estimation procedure, as well as the integration
                 algorithm itself. We calculate how often the error
                 estimation and subsequent grid generation should be
                 performed to minimize the total cost of the
                 algorithm.

                 In chapter 3 we discuss the interface equations used at
                 the boundary of the fine and coarse grids. Boundary
                 schemes are presented for those component grids with
                 boundaries internal to the problem domain, since in
                 these cases boundary conditions are not supplied with
                 the pde. We present a new stability proof for the case
                 of interpolation interface conditions with the
                 Lax--Wendroff difference scheme for mesh refinement in
                 time and space.

                 We also include in this chapter a discussion of
                 conservation properties of the algorithm, including
                 both the interface conditions and the regridding
                 procedure. We develop a procedure to derive
                 conservative interface conditions so that if the
                 approximate solutions converge, they will converge to a
                 weak solution of the pde. This is important in
                 computing the correct shock location in cases where the
                 solution is discontinuous. \ldots{}",
  acknowledgement = ack-nhfb,
  advisor =      "Joe Oliger",
}

@InProceedings{Berger:1983:AMR,
  author =       "Marsha Berger and G. Hedstrom and J. Oliger and G.
                 Rodrigue",
  title =        "Adaptive Mesh Refinement for $1$-Dimensional Gas
                 Dynamics",
  crossref =     "Ames:1983:MSE",
  pages =        "43--47",
  year =         "1983",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Also as Lawrence Livermore UCRL-87522",
  series =       "IMACS Transactions on Scientific Computing",
  acknowledgement = ack-nhfb,
  xxauthor =     "Marsha Berger and G. Hedstrom and G. Rodrigue and J.
                 Oliger",
}

@InCollection{Berger:1983:DSA,
  author =       "Marsha Berger",
  title =        "Data Structures for Adaptive Mesh Refinement",
  crossref =     "Babuska:1983:ACM",
  pages =        "237--251",
  year =         "1983",
  bibdate =      "Mon Oct 22 18:39:37 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  abstract =     "e examine the use of data structures in the design and
                 implementation of an adaptive mesh refinement algorithm
                 for solving hyperbolic partial differential equations.
                 We also describe the algorithms and graph structures
                 which form the core of an automatic grid generation
                 package that is part of the mesh refinement program.",
  acknowledgement = ack-nhfb,
  classmath =    "65N50 (Mesh generation and refinement (BVP of PDE))
                 65N22 (Solution of discretized equations (BVP of PDE))
                 35L50 (First order hyperbolic systems, boundary value
                 problems)",
  keywords =     "data structures; adaptive mesh refinement; graph
                 structures; automatic grid generation",
}

@InCollection{Hedstrom:1983:AMR,
  author =       "Gerald Hedstrom and Garry Rodrigue and Marsha Berger
                 and Joseph Oliger",
  title =        "Adaptive mesh refinement for {$1$}-dimensional gas
                 dynamics",
  crossref =     "Stepleman:1983:SCA",
  pages =        "43--47",
  year =         "1983",
  MRclass =      "65M50",
  MRnumber =     "MR751602",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1984:AMM,
  author =       "Marsha Berger and A. Jameson",
  title =        "An Adaptive Multigrid Method for the {Euler}
                 Equations",
  crossref =     "Soubbaramayer:1985:NIC",
  pages =        "??--??",
  year =         "1984",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1984:AMR,
  author =       "Marsha Berger and Joseph Oliger",
  title =        "Adaptive Mesh Refinement for Hyperbolic Partial
                 Differential Equations",
  journal =      j-J-COMPUT-PHYS,
  volume =       "53",
  number =       "3",
  pages =        "484--512",
  month =        mar,
  year =         "1984",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(84)90073-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  abstract =     "An adaptive numerical method for hyperbolic partial
                 differential equations is presented. Based upon
                 Richardson-type estimates of the local truncation
                 error, refined grids are created or removed during the
                 process. The composite grid consists of a hierarchy of
                 rotated uniform rectangular refined meshes. This makes
                 it possible to approximate discontinuities such as
                 moving shock fronts with arbitrary orientations. The
                 finer grids have also smaller step sizes in time thus
                 maintaining the ratio of space/time differencing.
                 Various integrating schemes can be used on component
                 grids. The interaction between grids is performed by
                 injections and interpolations. Data structures for the
                 composite grid are briefly but clearly described.
                 Numerical examples in one and two space dimensions show
                 that the adaptive method is superior to the use of a
                 conventional uniform grid both in the terms of
                 computational time and approximation of the solution.",
  acknowledgement = ack-nhfb,
  classmath =    "65M50 (Mesh generation and refinement (IVP of PDE))
                 65M15 (Error bounds (IVP of PDE)) 35L45 (First order
                 hyperbolic systems, initial value problems)",
  fjournal =     "Journal of Computational Physics",
  keywords =     "adaptive mesh refinement; local truncation error;
                 moving shock fronts; Numerical examples",
}

@Article{Berger:1985:AAG,
  author =       "Marsha Berger and A. Jameson",
  title =        "Automatic Adaptive Grid Refinement for the {Euler}
                 Equations",
  journal =      j-AIAA,
  volume =       "23",
  number =       "4",
  pages =        "561--568",
  month =        apr,
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "MAE Report No. 1633, October 1983, Princeton
                 University, and NYU Report No. DOE/ER/03077-202,
                 October 1983.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1985:AMM,
  author =       "Marsha J. Berger and Antony Jameson",
  title =        "An adaptive multigrid method for the {Euler}
                 equations",
  crossref =     "Soubbaramayer:1985:NIC",
  pages =        "92--97",
  year =         "1985",
  bibdate =      "Mon Oct 22 18:26:59 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
  classmath =    "76M99 (Basic methods in fluid mechanics) 76B10
                 (Free-streamline theory and appl.)",
  keywords =     "local adaptive grid refinement; local truncation
                 error; locally uniform fine rectangles; two dimensional
                 steady Euler equation",
}

@InProceedings{Berger:1985:AMR,
  author =       "Marsha Berger",
  title =        "Adaptive Mesh Refinement for Hyperbolic Equations",
  crossref =     "Engquist:1985:LSC",
  pages =        "31--40",
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  abstract =     "We describe a method of adaptive mesh refinement for
                 the solution of hyperbolic partial differential
                 equations. This algorithm uses an automatic error
                 estimator to determine where the coarse grid accuracy
                 is insufficient, and creates locally uniform fine grid
                 patches in these regions. The finer grids have a
                 smaller mesh width in time as well as space. We also
                 discuss the stability and conservation of the numerical
                 procedures used at an interface between a fine and
                 coarse grid.",
  acknowledgement = ack-nhfb,
  classmath =    "65M50 (Mesh generation and refinement (IVP of PDE))
                 65M12 (Stability and convergence of numerical methods
                 (IVP of PDE)) 35L45 (First order hyperbolic systems,
                 initial value problems)",
  keywords =     "adaptive mesh refinement; automatic error estimator;
                 stability",
}

@InProceedings{Berger:1985:PSP,
  author =       "Marsha Berger and Shahid Bokhari",
  title =        "A Partitioning Strategy for {PDEs} across
                 Multiprocessors",
  crossref =     "DeGroot:1985:PIC",
  pages =        "166--170",
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1985:SIM,
  author =       "Marsha J. Berger",
  title =        "Stability of Interfaces with Mesh Refinement",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "301--318",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65M50 (Mesh generation and refinement (IVP of PDE))
                 65M12 (Stability and convergence of numerical methods
                 (IVP of PDE)) 35L45 (First order hyperbolic systems,
                 initial value problems)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "ICASE Report No. 83-42, August, 1983.",
  abstract =     "We study the stability of mesh refinement in space and
                 time for several different interface equations and
                 finite-difference approximations. First, we derive a
                 root condition which implies stability for the
                 initial-boundary value problem for this type of
                 interface. From the root condition, we prove the
                 stability of several interface equations using the
                 maximum principle. In some cases, the final
                 verification step can be done analytically; in other
                 cases, a simple computer program has been written to
                 check the condition for values of a parameter along the
                 boundary of the unit circle. Using this method, we
                 prove stability for Lax--Wendroff with all the interface
                 conditions considered, and for leapfrog with
                 interpolation interface conditions when the fine and
                 coarse grids overlap.",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Inst. for Comput. Applications in Sci. and Eng., NASA
                 Langley Res. Center, Hampton, VA, USA",
  keywords =     "computer program; convergence of numerical methods;
                 difference equations; differential equations; finite
                 element analysis; finite-difference approximations;
                 hyperbolic partial differential equations; initial
                 value problems; initial-boundary value problem;
                 interface equations; interpolation interface
                 conditions; Lax--Wendroff method; leapfrog method;
                 maximum principle; mesh refinement; partial; root
                 condition; stability; unit circle",
  treatment =    "T Theoretical or Mathematical",
  ZMnumber =     "0647.65065",
}

@Article{Berger:1986:DSA,
  author =       "Marsha J. Berger",
  title =        "Data Structures for Adaptive Grid Generation",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  number =       "3",
  pages =        "904--916",
  month =        jul,
  year =         "1986",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  abstract =     "This paper presents some ideas from the pattern
                 recognition literature in designing grid generation
                 package. Trees are used to do the grid management for
                 this type of data structure. Automatic grid generation
                 algorithm is used for data structure with special
                 neighbor properties. Some numerical computations are
                 also presented. No experiments were performed for the
                 proposed algorithm.",
  acknowledgement = ack-nhfb,
  classification = "C1160 (Combinatorial mathematics); C4170
                 (Differential equations); C6120 (File organization)",
  corpsource =   "Courant Inst. of Math. Sci., New York Univ., NY, USA",
  keywords =     "adaptive grid generation; adaptive mesh refinement;
                 automatic grid generation algorithms; data structures;
                 difference equations; difference schemes; grid
                 management; nearest neighbor properties; partial
                 differential equations; Trees; trees (mathematics)",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@TechReport{Berger:1987:AFD,
  author =       "Marsha Berger",
  title =        "Adaptive Finite Difference Methods in Fluid Dynamics",
  type =         "NYU Report",
  number =       "DOE/ER/03077-277",
  institution =  "New York University",
  address =      "New York, NY, USA",
  pages =        "????",
  month =        feb,
  year =         "1987",
  bibdate =      "Sat Oct 24 11:11:27 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Lecture notes prepared for the short course in
                 Computational Fluid Dynamics at the von Karman
                 Institute for Fluid Dynamics, March 1987.",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1987:CGI,
  author =       "Marsha J. Berger",
  title =        "On Conservation at Grid Interfaces",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "24",
  number =       "5",
  pages =        "967--984",
  month =        oct,
  year =         "1987",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  MRclass =      "65M05 (65M10)",
  MRnumber =     "89b:65203",
  MRreviewer =   "O. Widlund",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 JSTOR database",
  note =         "ICASE Report No. 84-43, September, 1984.",
  abstract =     "A procedure is presented to derive conservative
                 difference approximations of hyperbolic systems of
                 conservation laws at the grid interfaces for
                 two-dimensional grids which overlap in an arbitrary
                 configuration. Also, interface conditions are given to
                 guarantee that if the solution converges, it converges
                 to a weak solution of the equations.",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1987:PSN,
  author =       "Marsha Berger and Shahid Bokhari",
  title =        "A Partitioning Strategy for Non-Uniform Problems on
                 Multiprocessors",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-36",
  number =       "5",
  pages =        "570--580",
  month =        may,
  year =         "1987",
  CODEN =        "ITCOB4",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "ICASE Report No. 85-55, Nov. 1985.",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1988:RAN,
  author =       "Marsha Berger and Robert V. Kohn",
  title =        "A rescaling algorithm for the numerical calculation of
                 blowing-up solutions",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "41",
  number =       "6",
  pages =        "841--863",
  year =         "1988",
  CODEN =        "CPAMAT",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  MRclass =      "65P05 (35B40 35K57)",
  MRnumber =     "MR948774 (89g:65154)",
  MRreviewer =   "Hong Yuan Fu",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  abstract =     "A method is developed for computing solutions of
                 certain nonlinear evolution equations near a developing
                 singularity in space-time. The main tools are rescaling
                 and mesh refinement; in essence, the method uses a
                 varying spatial grid and time step, linked at each
                 point of space-time to the magnitude of the computed
                 solution. The discussion is focused on the specific
                 equation $u_t-u_{xx}=u\quad p$ on an interval, with
                 $u=0$ at the endpoints. The numerical results, which
                 remain accurate as the magnitude of $u$ grows from
                 $O(1)$ to $O(10^{12})$, agree with the behavior
                 conjectured by {\it V. A. Galaktionov} and {\it S. A.
                 Posashkov} [Diff. Uravn. 22, 1165--1173 (1986; Zbl
                 0632.35028)] on the basis of a formal expansion.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications on Pure and Applied Mathematics",
}

@InProceedings{Berger:1989:ACM,
  author =       "Marsha Berger and Randy LeVeque",
  title =        "An Adaptive {Cartesian} Mesh Algorithm for the {Euler}
                 Equations in Arbitrary Geometries",
  crossref =     "Anonymous:1989:CFD",
  pages =        "??",
  year =         "1989",
  bibdate =      "Mon Mar 6 18:16:11 MST 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1989:AMR,
  author =       "Marsha Berger",
  editor =       "G. Rodrigue",
  booktitle =    "Parallel Processing for Scientific Computing, Proc.
                 1987 SIAM Conference on Parallel Processing, Los
                 Angeles, California",
  title =        "Adaptive Mesh Refinement for Parallel Processors",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "??",
  year =         "1989",
  ISBN =         "??",
  ISBN-13 =      "??",
  LCCN =         "??",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Ultracomputer Note 130, Dec. 1987.",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1989:LAM,
  author =       "Marsha Berger and Phillip Colella",
  title =        "Local Adaptive Mesh Refinement for Shock
                 Hydrodynamics",
  journal =      j-J-COMPUT-PHYS,
  volume =       "82",
  number =       "1",
  pages =        "64--84",
  month =        may,
  year =         "1989",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(89)90035-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  note =         "Lawrence Livermore Laboratory Report No. UCRL-97196.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@InProceedings{Berger:1989:SAA,
  author =       "Marsha Berger",
  editor =       "J. Flaherty and others",
  booktitle =    "Adaptive Methods for Partial Differential Equations:
                 Proc. Workshop on Adaptive Computational Methods for
                 Partial Differential Equations, RPI, Oct. 1988",
  title =        "Some Applications of Adaptive Mesh Refinement",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "150--159",
  year =         "1989",
  ISBN =         "??",
  ISBN-13 =      "??",
  LCCN =         "??",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
  ZMnumber =     "0694.65061",
}

@InProceedings{Berger:1990:CMA,
  author =       "Marsha Berger and Randy LeVeque",
  title =        "{Cartesian} Meshes and Adaptive Mesh Refinement for
                 Hyperbolic Partial Differential Equations",
  crossref =     "Engquist:1990:TIC",
  pages =        "??",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1990:SBC,
  author =       "Marsha Berger and Randy LeVeque",
  booktitle =    "Proc. Symposium on Computational Technology for Flight
                 Vehicles",
  title =        "Stable Boundary Conditions for {Cartesian} Grid
                 Calculations",
  publisher =    "Pergamon Press",
  address =      "??",
  pages =        "??",
  month =        nov,
  year =         "1990",
  ISBN =         "??",
  ISBN-13 =      "??",
  LCCN =         "??",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "ICASE Report No. 90-37, May, 1990.",
  acknowledgement = ack-nhfb,
}

@InCollection{Berger:1991:CMA,
  author =       "Marsha Berger and Randall LeVeque",
  booktitle =    "Third International Conference on Hyperbolic Problems,
                 Vol.\ I, II (Uppsala, 1990)",
  title =        "{Cartesian} meshes and adaptive refinement for
                 hyperbolic partial differential equations",
  publisher =    pub-STUDENTLITTERATUR,
  address =      pub-STUDENTLITTERATUR:adr,
  pages =        "67--73",
  year =         "1991",
  MRclass =      "76M20 (65N50)",
  MRnumber =     "MR1109274",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1991:RDS,
  author =       "Marsha Berger and Randy LeVeque",
  booktitle =    "AIAA 91-1602, 10th AIAA Computational Fluid Dynamics
                 Conference, Honolulu, June, 1991",
  title =        "A Rotated Difference Scheme for {Cartesian} Grids in
                 Complex Geometries",
  publisher =    pub-AIAA,
  address =      pub-AIAA:adr,
  pages =        "??",
  year =         "1991",
  ISBN =         "??",
  ISBN-13 =      "??",
  LCCN =         "??",
  bibdate =      "Mon Mar 6 18:16:11 MST 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1992:APC,
  author =       "Marsha Berger and Isidore Rigoutsos",
  title =        "An Algorithm for Point Clustering and Grid
                 Generation",
  journal =      "IEEE Trans. Sys. Man. \& Cyber.",
  volume =       "21",
  number =       "5",
  pages =        "1278--1286",
  month =        sep # "\slash " # oct,
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "NYU Technical Report 501, April, 1990.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1993:ACG,
  author =       "Marsha Berger and J. Melton and F. Enomoto",
  booktitle =    "AIAA Paper 93-3386, 11th AIAA Computational Fluid
                 Dynamics Conference, Orlando, Fla., July, 1993",
  title =        "{3D} Automatic {Cartesian} Grid Generation for {Euler}
                 Flows",
  publisher =    pub-AIAA,
  address =      pub-AIAA:adr,
  pages =        "??",
  year =         "1993",
  ISBN =         "??",
  ISBN-13 =      "??",
  LCCN =         "??",
  bibdate =      "Mon Mar 6 18:16:11 MST 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1993:SAM,
  author =       "Marsha Berger and J. Saltzman",
  title =        "Structured Adaptive Mesh Refinement on the {Connection
                 Machine}",
  crossref =     "Sincovec:1993:PSS",
  pages =        "??",
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1993:UMT,
  author =       "Marsha Berger and V. Venkatakrishnan and D.
                 Mavriplis",
  title =        "Unstructured Multigrid through Agglomeration",
  crossref =     "Melson:1993:SCM",
  pages =        "??--??",
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
  remark =       "Is this the same as NASA Ames Research Laboratory
                 report 94N21484 (3-Nov-2004)??",
}

@Article{Bell:1994:TDA,
  author =       "John Bell and Marsha Berger and Jeff Saltzman and Mike
                 Welcome",
  title =        "Three-Dimensional Adaptive Mesh Refinement for
                 Hyperbolic Conservation Laws",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "15",
  number =       "1",
  pages =        "127--138",
  month =        jan,
  year =         "1994",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  MRclass =      "65M06 (76M20 76N10)",
  MRnumber =     "MR1257158 (95d:65070)",
  MRreviewer =   "Corneliu Berbente",
  bibdate =      "Tue Apr 29 18:25:50 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  abstract =     "This is a descriptive account of how an adaptive mesh
                 refinement algorithm may be used in solving systems of
                 hyperbolic conservation laws. The method is illustrated
                 by considering a particular case of a shock wave
                 hitting a bubble of Freon-22. The results of the
                 calculations are given.",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1994:AC,
  author =       "Marsha Berger and J. Saltzman",
  title =        "{AMR} on the {CM-2}",
  journal =      "Applied Numerical Math.",
  volume =       "14",
  number =       "1--3",
  pages =        "239--253",
  month =        "??",
  year =         "1994",
  MRclass =      "76M25, 76N10",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Also, RIACS Report No. 92-16.",
  abstract =     "We describe the development of a structured adaptive
                 mesh algorithm (AMR) for the CM-2. We develop a data
                 layout scheme that preserves locality even for
                 communication between fine and coarse grids. On 8K of a
                 32K machine we achieve performance slightly less than
                 one CPU of the Cray Y-MP. We apply our algorithm to an
                 inviscid compressible flow problem.",
  acknowledgement = ack-nhfb,
  ZMnumber =     "0803.76062",
}

@InProceedings{Berger:1994:FVM,
  author =       "M. J. Berger and R. J. LeVeque and L. G. Stern",
  title =        "Finite volume methods for irregular one-dimensional
                 grids",
  crossref =     "Gautschi:1994:MCH",
  pages =        "255--259",
  year =         "1994",
  bibdate =      "Thu Oct 25 14:53:00 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Aftosmis:1995:ASM,
  author =       "M. Aftosmis and J. Melton and M. Berger",
  title =        "Adaptation and Surface Modeling for {Cartesian} Mesh
                 Methods",
  crossref =     "Dolling:1995:ACF",
  pages =        "??--??",
  year =         "1995",
  bibdate =      "Fri Oct 26 17:02:35 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "AIAA Paper 95-1725",
  acknowledgement = ack-nhfb,
}

@InProceedings{Aftosmis:1995:PMM,
  author =       "Michael Aftosmis and Marsha Berger and Gedas
                 Adomavicius",
  booktitle =    "Proceedings of the 12th AIAA Computational Fluid
                 Dynamics Conference, San Diego, CA, June 1995",
  title =        "A parallel multilevel method for adaptively refined
                 {Cartesian} grids with embedded boundaries",
  publisher =    "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  pages =        "????",
  month =        jan,
  year =         "1995",
  bibdate =      "Mon Oct 22 18:55:22 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "AIAA 95-1725CP",
  acknowledgement = ack-nhfb,
}

@TechReport{Berger:1995:ATC,
  author =       "Marsha Berger and John Melton",
  title =        "An accuracy test of a {Cartesian} grid method for
                 steady flow in complex geometries",
  type =         "RIACS Report",
  number =       "95-02",
  institution =  "????",
  address =      "????",
  month =        "????",
  year =         "1995",
  bibdate =      "Fri Oct 26 17:05:35 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Published in \cite{Berger:1996:ATC}",
  acknowledgement = ack-nhfb,
}

@TechReport{Melton:1995:ACG,
  author =       "J. Melton and M. Berger and M. Aftosmis and M. Wong",
  title =        "{$3$D} Applications of a {Cartesian} Grid {Euler}
                 Method",
  type =         "Technical Report",
  number =       "AIAA Paper 95-0853",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  month =        jan,
  year =         "1995",
  bibdate =      "Fri Oct 26 17:04:02 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1996:AAM,
  author =       "Marsha Berger and Michael Aftosmis and John Melton",
  title =        "Accuracy, Adaptive Methods and Complex Geometry",
  crossref =     "Sakell:1996:PFA",
  pages =        "??--??",
  year =         "1996",
  bibdate =      "Fri Oct 26 17:01:16 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Berger:1996:ATC,
  author =       "Marsha Berger and John Melton",
  editor =       "J. Glimm and others",
  booktitle =    "Hyperbolic problems: theory, numerics, applications
                 (Stony Brook, NY, 1994)",
  title =        "An accuracy test of a {Cartesian} grid method for
                 steady flow in complex geometries",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "91--100",
  year =         "1996",
  MRclass =      "76M25 (76N10)",
  MRnumber =     "MR1446017",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "See technical report \cite{Berger:1995:ATC}.",
  abstract =     "We describe a method to solve the inviscid
                 compressible Euler equations using non-body-fitted
                 Cartesian grids. We briefly survey the geometric
                 procedures needed for the ``grid generation'' in this
                 approach and show some Cartesian grids for three
                 dimensional configurations. The major source of error
                 in these methods is at the irregular boundary cells.
                 This has motivated us to study various improvements in
                 the numerical scheme (a Godunov method) on a model
                 problem with smooth flow in two space dimensions.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Wang:1996:TAG,
  author =       "Z. J. Wang and M. J. Berger",
  title =        "Towards Automatic Grid Independent Viscous Solutions
                 with an Adaptive {Cartesian}\slash Quad Grid Flow
                 Solver",
  crossref =     "Kutler:1997:FIC",
  pages =        "??--??",
  year =         "1996",
  bibdate =      "Fri Oct 26 17:00:13 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Aftosmis:1997:REC,
  author =       "M. J. Aftosmis and M. J. Berger and J. E. Melton",
  title =        "Robust and efficient {Cartesian} mesh generation for
                 component-based geometry",
  type =         "Technical Report",
  number =       "AIAA 97-0196",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  month =        jan,
  year =         "1997",
  bibdate =      "Mon Oct 22 18:55:22 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Published in \cite{Aftosmis:1998:REC}.",
  acknowledgement = ack-nhfb,
}

@InCollection{Aftosmis:1998:ACM,
  author =       "M. J. Aftosmis and M. J. Berger and J. E. Melton",
  editor =       "J. Thompson and B. Soni and N. Weatherill",
  booktitle =    "Handbook of Grid Generation",
  title =        "Adaptive {Cartesian} Mesh Generation",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "??--??",
  year =         "1998",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Oct 26 16:29:16 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Aftosmis:1998:REC,
  author =       "M. J. Aftosmis and M. J. Berger and J. E. Melton",
  title =        "Robust and efficient {Cartesian} mesh generation for
                 component-based geometry",
  journal =      j-AIAA,
  volume =       "36",
  number =       "6",
  pages =        "952--960",
  month =        jun,
  year =         "1998",
  bibdate =      "Tue Sep 21 18:17:01 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "See report \cite{Aftosmis:1997:REC}.",
  acknowledgement = ack-nhfb,
}

@InCollection{Berger:1998:AAR,
  author =       "Marsha Berger and Michael Aftosmis",
  booktitle =    "Sixteenth International Conference on Numerical
                 Methods in Fluid Dynamics (Arcachon, 1998)",
  title =        "Aspects (and aspect ratios) of {Cartesian} mesh
                 methods",
  volume =       "515",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "1--12",
  year =         "1998",
  MRclass =      "76M25 (65M70)",
  MRnumber =     "MR1730407",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  series =       "Lecture Notes in Physics",
  acknowledgement = ack-nhfb,
}

@Article{Berger:1998:AMR,
  author =       "Marsha J. Berger and Randall J. LeVeque",
  title =        "Adaptive Mesh Refinement Using Wave-Propagation
                 Algorithms for Hyperbolic Systems",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "35",
  number =       "6",
  pages =        "2298--2316",
  month =        dec,
  year =         "1998",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  bibdate =      "Fri Dec 4 13:36:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/35/6;
                 http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/31597",
  acknowledgement = ack-nhfb,
}

@TechReport{Delanaye:1999:AHC,
  author =       "M. Delanaye and M. Aftosmis and M. J. Berger and Y.
                 Liu and T. Pulliam",
  title =        "Automatic Hybrid-Cartesian Grid Generation for
                 High-{Reynolds} Number Flows around Complex
                 Geometries",
  type =         "Technical Report",
  number =       "AIAA Paper 99-0777, Reno, NV",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  month =        jan,
  year =         "1999",
  bibdate =      "Fri Oct 26 16:27:11 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Forrer:1999:FSC,
  author =       "Hans Forrer and Marsha Berger",
  booktitle =    "Hyperbolic problems: theory, numerics, applications,
                 Vol. I (Z{\"u}rich, 1998)",
  title =        "Flow simulations on {Cartesian} grids involving
                 complex moving geometries",
  volume =       "129",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "315--324",
  year =         "1999",
  MRclass =      "76M12 (Finite volume methods) 76N15 (Gas dynamics,
                 general), 76M25",
  MRnumber =     "MR1717201 (2000f:76096)",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  series =       "Internat. Ser. Numer. Math.",
  abstract =     "We describe a method to solve the compressible
                 time-dependent Euler equations using Cartesian grids
                 for domains involving fixed or moving geometries. We
                 use the concept of a mirror flow extrapolation of a
                 given solution over a reflecting wall, which may be
                 curved or moving at a fixed or varying speed. We apply
                 this mirror flow to a Cartesian grid method to
                 calculate the cells along a reflecting boundary
                 avoiding the ``small-cell'' problem. Numerical results
                 are presented.",
  acknowledgement = ack-nhfb,
  keywords =     "Cartesian grids; compressible time-dependent Euler
                 equations; mirror flow extrapolation; reflecting wall",
  ZMnumber =     "0936.76040,",
}

@Article{Roma:1999:AVI,
  author =       "Alexandre M. Roma and Charles S. Peskin and Marsha J.
                 Berger",
  title =        "An adaptive version of the immersed boundary method",
  journal =      j-J-COMPUT-PHYS,
  volume =       "153",
  number =       "2",
  pages =        "509--534",
  day =          "10",
  month =        aug,
  year =         "1999",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1006/jcph.1999.6293",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  abstract =     "We present a computational setting for the immersed
                 boundary method employing an adaptive mesh refinement.
                 Enhanced accuracy for the method is attained locally by
                 covering an immersed boundary vicinity with a sequence
                 of nested, progressively finer rectangular grid patches
                 which dynamically follow the immersed boundary motion.
                 The set of equations describing the interaction between
                 a non-stationary, viscous incompressible fluid and an
                 immersed elastic boundary is solved by coupling a
                 projection method, specially designed for locally
                 refined meshes, to an implicit formulation of the
                 immersed boundary method.\par

                 The main contributions of this work concern the
                 formulation and implementation of a multilevel
                 self-adaptive version of the immersed boundary method
                 on locally refined meshes. This approach is tested on a
                 particular two-dimensional model problem, for which no
                 significant difference is found between the solutions
                 obtained on a mesh refined locally around the immersed
                 boundary, and on the associated uniform mesh, built
                 with the resolution of the finest level.",
  acknowledgement = ack-nhfb,
  classmath =    "76M20 (Finite difference methods) 76D05
                 (Navier--Stokes equations (fluid dynamics)) 65M55
                 (Multigrid methods; domain decomposition (IVP of PDE))
                 74F10 (Fluid-solid interactions)",
  fjournal =     "Journal of Computational Physics",
  keywords =     "interface problems; multilevel self-adaptive method;
                 immersed boundary method; adaptive mesh refinement;
                 viscous incompressible fluid; immersed elastic
                 boundary; projection method",
  language =     "English",
  ZMnumber =     "0953.76069",
}

@TechReport{Aftosmis:2000:PMM,
  author =       "Michael Aftosmis and Marsha Berger and Gedas
                 Adomavicius",
  title =        "A parallel multilevel method for adaptively refined
                 {Cartesian} grids with embedded boundaries",
  type =         "Technical Report",
  number =       "AIAA 2000-0808",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  month =        jan,
  year =         "2000",
  bibdate =      "Mon Oct 22 18:55:22 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Berger:2001:PMC,
  author =       "Marsha Berger and Michael Aftosmis and Gedas
                 Adomavicius",
  booktitle =    "Proceedings of the 8th International Congress on
                 Parallel Computational Fluid Dynamics (Trondheim,
                 Norway, June, 2000)",
  title =        "Parallel multigrid on {Cartesian} meshes with complex
                 geometry",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "283--290",
  year =         "2001",
  MRclass =      "76M25",
  MRnumber =     "MR1874028",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Aftosmis:2002:MEE,
  author =       "M. J. Aftosmis and M. J. Berger",
  title =        "Multilevel Error Estimation and Adaptive
                 $h$-Refinement for {Cartesian} Meshes with Embedded
                 Boundaries",
  type =         "Technical Report",
  number =       "AIAA 2002-0863",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  pages =        "14",
  day =          "14--17",
  month =        jan,
  year =         "2002",
  bibdate =      "Mon Oct 22 18:44:59 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  URL =          "http://people.nas.nasa.gov/~aftosmis/publications/aiaa2002-0863.pdf",
  abstract =     "This paper presents the development of a mesh
                 adaptation module for a multilevel Cartesian solver.
                 While the module allows mesh refinement to be driven by
                 a variety of different refinement parameters, a central
                 feature in its design is the incorporation of a
                 multilevel error estimator based upon direct estimates
                 of the local truncation error using $\tau$
                 extrapolation. This error indicator exploits the fact
                 that in regions of uniform Cartesian mesh, the spatial
                 operator is exactly the same on the fine and coarse
                 grids, and local truncation error estimates can be
                 constructed by evaluating the residual on the coarse
                 grid of the restricted solution from the fine grid. A
                 new strategy for adaptive $h$-refinement is also
                 developed to prevent errors in smooth regions of the
                 flow from being masked by shocks and other
                 discontinuous features. For certain classes of error
                 histograms, this strategy is optimal for achieving
                 equidistribution of the refinement parameters on
                 hierarchical meshes, and therefore ensures grid
                 converged solutions will be achieved for appropriately
                 chosen refinement parameters. The robustness and
                 accuracy of the adaptation module is demonstrated using
                 both simple model problems and complex three
                 dimensional examples using meshes with from $10^6$ to
                 $10^7$ cells.",
  acknowledgement = ack-nhfb,
  remark =       "Winner of AIAA 2002 Best Paper Award",
}

@InProceedings{Berger:2002:GAB,
  author =       "Marsha J. Berger and Christiane Helzel",
  title =        "Grid aligned $h$-box methods for conservation laws in
                 complex geometries",
  crossref =     "Herbin:2002:FVC",
  pages =        "277--284",
  year =         "2002",
  MRclass =      "65M06 65M50 35L65",
  MRnumber =     "2007426",
  bibdate =      "Mon Oct 22 17:45:24 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
  xxpages =      "263--270",
  ZMnumber =     "1059.65506",
}

@Misc{Berger:2002:VNC,
  author =       "M. Berger",
  title =        "Triangle geometry processing for surface modeling and
                 {Cartesian} grid generation",
  howpublished = "U.S. Patent \# 6445390",
  day =          "3",
  month =        sep,
  year =         "2002",
  bibdate =      "Fri Oct 26 18:15:13 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Murman:2002:NSR,
  author =       "S. Murman and M. Aftosmis and M. Berger",
  title =        "Numerical Simulation of Rolling-Airframes Using a
                 Multi-Level {Cartesian} Method",
  type =         "Technical Report",
  number =       "AIAA Paper 2002-2798 (St. Louis, MO)",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  month =        jun,
  year =         "2002",
  bibdate =      "Fri Oct 26 16:24:08 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Published in \cite{Murman:2004:NSR}.",
  acknowledgement = ack-nhfb,
}

@Article{Berger:2003:BMA,
  author =       "Marsha J. Berger and Christiane Helzel and Randall J.
                 LeVeque",
  title =        "${H}$-Box Methods for the Approximation of Hyperbolic
                 Conservation Laws on Irregular Grids",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "41",
  number =       "3",
  pages =        "893--918",
  month =        jun,
  year =         "2003",
  CODEN =        "SJNAAM",
  DOI =          "http://dx.doi.org/10.1137/S0036142902405394",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  bibdate =      "Fri Aug 15 05:57:14 MDT 2003",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/41/3;
                 http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/40539",
  acknowledgement = ack-nhfb,
}

@TechReport{Murman:2003:IAM,
  author =       "Scott Murman and Michael J. Aftosmis and Marsha J.
                 Berger",
  title =        "Implicit Approaches for Moving Boundaries in a {$3$-D}
                 {Cartesian} Method",
  type =         "Technical Report",
  number =       "AIAA Paper 2003-1119 (Reno, NV)",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  month =        jan,
  year =         "2003",
  bibdate =      "Fri Oct 26 16:00:28 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Murman:2003:SDM,
  author =       "Scott Murman and Michael J. Aftosmis and Marsha J.
                 Berger",
  title =        "Simulations of {$6$-DOF} Motion with a {Cartesian}
                 Method",
  type =         "Technical Report",
  number =       "AIAA Paper 2003-1246",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  month =        jan,
  year =         "2003",
  bibdate =      "Fri Oct 26 16:16:31 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "See also \cite{Murman:2004:SDM}.",
  acknowledgement = ack-nhfb,
}

@TechReport{Aftosmis:2004:ASF,
  author =       "M. J. Aftosmis and M. J. Berger and S. M. Murman",
  title =        "Applications of Space-Filling Curves to {Cartesian}
                 Methods for {CFD}",
  type =         "Technical Report",
  number =       "AIAA 2004-1232",
  institution =  "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  pages =        "12",
  day =          "5--8",
  month =        jan,
  year =         "2004",
  bibdate =      "Mon Oct 22 18:49:53 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  URL =          "http://people.nas.nasa.gov/~aftosmis/publications/aiaa2004_1232.pdf",
  abstract =     "This paper presents a variety of novel uses of
                 space-filling curves (SFCs) for Cartesian mesh methods
                 in CFD. While these techniques will be demonstrated
                 using non-body-fitted Cartesian meshes, many are
                 applicable on general body-fitted meshes both
                 structured and unstructured. We demonstrate the use of
                 single $O(N \log N)$ SFC-based reordering to produce
                 single-pass ($O(N)$) algorithms for mesh partitioning,
                 multigrid coarsening, and inter-mesh interpolation. The
                 intermesh interpolation operator has many practical
                 applications including warm starts on modified
                 geometry, or as an inter-grid transfer operator on
                 remeshed regions in moving-body simulations. Exploiting
                 the compact construction of these operators, we further
                 show that these algorithms are highly amenable to
                 parallelization. Examples using the SFC-based mesh
                 partitioner show nearly linear speedup to 640 CPUs even
                 when using multigrid as a smoother. Partition
                 statistics are presented showing that the SFC
                 partitions are, on-average, within 15\% of ideal even
                 with only around 50,000 cells in each subdomain. The
                 inter-mesh interpolation operator also has linear
                 asymptotic complexity and can be used to map a solution
                 with $N$ unknowns to another mesh with $O(M + N)$
                 operations. This capability is demonstrated both on
                 moving-body simulations and in mapping solutions to
                 perturbed meshes for control surface deflection or
                 finite-difference-based gradient design methods.",
  acknowledgement = ack-nhfb,
  remark =       "42nd Aerospace Sciences Meeting and Exhibit 5-8
                 January 2004 / Reno NV.",
}

@InCollection{Berger:2004:PTP,
  author =       "Marsha Berger",
  booktitle =    "Applied mathematics entering the 21st Century",
  title =        "Putting together the pieces: grid generation and flow
                 solvers for complex geometries",
  volume =       "116",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "25--35",
  year =         "2004",
  MRclass =      "76M25",
  MRnumber =     "MR2296260",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  series =       "SIAM Proceedings in Applied Mathematics",
  acknowledgement = ack-nhfb,
  xxtitle =      "Putting Together the Pieces: From Grid Generation to
                 Flow Solution in Complicated Geometries",
}

@Article{Murman:2004:NSR,
  author =       "S. Murman and M. Aftosmis and M. Berger",
  title =        "Numerical Simulation of Rolling-Airframes Using a
                 Multi-Level {Cartesian} Method",
  journal =      "AIAA Journal of Spacecraft and Rockets",
  volume =       "41",
  number =       "3",
  pages =        "??--??",
  month =        "????",
  year =         "2004",
  bibdate =      "Fri Oct 26 16:23:07 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "See also technical report \cite{Murman:2002:NSR}.",
  acknowledgement = ack-nhfb,
}

@Article{Murman:2004:SDM,
  author =       "Scott Murman and Michael J. Aftosmis and Marsha J.
                 Berger",
  title =        "Simulations of Store Separation from an {F/A-18} with
                 a {Cartesian} Method",
  journal =      "AIAA Journal of Aircraft",
  volume =       "41",
  number =       "4",
  pages =        "??--??",
  month =        "????",
  year =         "2004",
  bibdate =      "Fri Oct 26 16:17:40 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "See also \cite{Murman:2003:SDM}.",
  acknowledgement = ack-nhfb,
}

@TechReport{Berger:2005:ASL,
  author =       "Marsha Berger and Michael J. Aftosmis and Scott M.
                 Murman",
  title =        "Analysis of Slope Limiters on Irregular Grids",
  type =         "{AIAA} Paper",
  number =       "2005-0490",
  institution =  "American Institute for Aeronautics and Astronautics",
  address =      "Reno, NV, USA",
  pages =        "22",
  month =        may,
  year =         "2005",
  bibdate =      "Fri Oct 26 15:53:40 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Also NASA TM NAS-05-007.",
  URL =          "http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.8456;
                 http://www.nas.nasa.gov/News/Techreports/2005/PDF/nas-05-007.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Berger:2005:PNC,
  author =       "M. J. Berger and M. J. Aftosmis and D. D. Marshall and
                 S. M. Murman",
  title =        "Performance of a New {CFD} Flow Solver using a Hybrid
                 Programming Paradigm",
  journal =      j-J-PAR-DIST-COMP,
  volume =       "65",
  number =       "4",
  pages =        "414--423",
  month =        apr,
  year =         "2005",
  CODEN =        "JPDCER",
  DOI =          "http://dx.doi.org/10.1016/j.jpdc.2004.11.010",
  ISSN =         "0743-7315 (print), 1096-0848 (electronic)",
  bibdate =      "Fri Oct 26 15:56:10 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Berger:2005:PSI,
  author =       "Marsha Berger and Z. J. Wang",
  title =        "Preface: [Special issue in celebration of {Antony
                 Jameson}'s 70th birthday]",
  journal =      j-INT-J-COMPUT-FLUID-DYN,
  volume =       "19",
  number =       "8",
  pages =        "547",
  year =         "2005",
  CODEN =        "IJCFEC",
  ISSN =         "1061-8562",
  MRclass =      "01A70",
  MRnumber =     "MR2227615",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Computational Fluid
                 Dynamics",
}

@Article{Helzel:2005:HRR,
  author =       "Christiane Helzel and Marsha J. Berger and Randall J.
                 LeVeque",
  title =        "A High-Resolution Rotated Grid Method for Conservation
                 Laws with Embedded Geometries",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "26",
  number =       "3",
  pages =        "785--809",
  month =        may,
  year =         "2005",
  CODEN =        "SJOCE3",
  DOI =          "http://dx.doi.org/10.1137/S106482750343028X",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  bibdate =      "Sat Apr 16 12:07:23 MDT 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/26/3;
                 http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/43028",
  acknowledgement = ack-nhfb,
}

@InProceedings{Mavriplis:2005:HRAa,
  author =       "Dimitri J. Mavriplis and Michael J. Aftosmis and
                 Marsha Berger",
  title =        "High Resolution Aerospace Applications using the {NASA
                 Columbia Supercomputer}",
  crossref =     "ACM:2005:PAI",
  pages =        "61--61",
  year =         "2005",
  bibdate =      "Tue Dec 27 07:58:16 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  abstract =     "This paper focuses on the parallel performance of two
                 high-performance aerodynamic simulation packages on the
                 newly installed NASA Columbia supercomputer. These
                 packages include both a high-fidelity, unstructured,
                 Reynolds-averaged Navier--Stokes solver, and a
                 fully-automated inviscid flow package for cut-cell
                 Cartesian grids. The complementary combination of these
                 two simulation codes enables high-fidelity
                 characterization of aerospace vehicle design
                 performance over the entire flight envelope through
                 extensive parametric analysis and detailed simulation
                 of critical regions of the flight envelope. Both
                 packages are industrial-level codes designed for
                 complex geometry and incorporate customized multigrid
                 solution algorithms. The performance of these codes on
                 Columbia is examined using both MPI and OpenMP and
                 using both the NUMAlink and InfiniBand interconnect
                 fabrics. Numerical results demonstrate good scalability
                 on up to 2016 cpus using the NUMAlink4 interconnect,
                 with measured computational rates in the vicinity of 3
                 TFLOP/s, while InfiniBand showed some performance
                 degradation at high CPU counts, particularly with
                 multigrid. Nonetheless, the results are encouraging
                 enough to indicate that larger test cases using
                 combined MPI/OpenMP communication should scale well on
                 even more processors.",
  acknowledgement = ack-nhfb,
  remark =       "Co-winner of best paper award. Also published in
                 \cite{Mavriplis:2007:HRAb}.",
}

@Article{Aftosmis:2006:ACM,
  author =       "M. J. Aftosmis and M. J. Berger and J. J. Alonso",
  title =        "Applications of a {Cartesian} Mesh Boundary-Layer
                 Approach for Complex Configurations",
  journal =      j-AIAA,
  pages =        "??--??",
  month =        jan,
  year =         "2006",
  bibdate =      "Fri Oct 26 15:47:04 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Aftosmis:2006:DPC,
  author =       "M. Aftosmis and M. Berger and R. Biswas and M. J.
                 Djomehri and R. Hood and H. Jin and C. Kiris",
  title =        "A Detailed Performance Characterization of Columbia
                 using Aeronautics Benchmarks and Applications",
  journal =      j-AIAA,
  volume =       "??",
  pages =        "??--??",
  month =        jan,
  year =         "2006",
  bibdate =      "Fri Oct 26 15:52:19 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "AIAA Paper 2006-84, Reno, NV.",
  acknowledgement = ack-nhfb,
}

@Article{Krivodonova:2006:HOA,
  author =       "Lilia Krivodonova and Marsha Berger",
  title =        "High-order accurate implementation of solid wall
                 boundary conditions in curved geometries",
  journal =      j-J-COMPUT-PHYS,
  volume =       "211",
  number =       "2",
  pages =        "492--512",
  day =          "20",
  month =        jan,
  year =         "2006",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/j.jcp.2005.05.029",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "76M25 (65M50)",
  MRnumber =     "MR2173394 (2006d:76099)",
  bibdate =      "Mon Jan 2 22:13:16 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999105002846",
  ZMnumber =     "pre02229469",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Mavriplis:2007:HRAb,
  author =       "Dimitri J. Mavriplis and Michael J. Aftosmis and
                 Marsha Berger",
  title =        "High Resolution Aerospace Applications Using the {NASA
                 Columbia Supercomputer}",
  journal =      j-IJHPCA,
  volume =       "21",
  number =       "1",
  pages =        "106--126",
  month =        "Spring",
  year =         "2007",
  CODEN =        "IHPCFL",
  DOI =          "http://dx.doi.org/10.1177/1094342006074872",
  ISSN =         "1094-3420 (print), 1741-2846 (electronic)",
  ISSN-L =       "1094-3420",
  bibdate =      "Tue Aug 31 09:59:45 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 http://hpc.sagepub.com/content/21/1.toc",
  URL =          "http://hpc.sagepub.com/content/21/1/106.full.pdf+html",
  acknowledgement = ack-nhfb,
  remark =       "Also published in \cite{Mavriplis:2005:HRA}.",
}

@InCollection{Wissink:2008:ACM,
  author =       "A. Wissink and B. Kosovic and M. Berger and K. Chand
                 and F. K. Chow",
  title =        "Adaptive {Cartesian} Methods for Modeling Airborne
                 Dispersion",
  crossref =     "Zomaya:2008:ACI",
  pages =        "??--??",
  year =         "2008",
  bibdate =      "Fri Oct 26 15:43:50 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Berger:2009:LRF,
  author =       "Marsha J. Berger and Donna A. Calhoun and Christiane
                 Helzel and Randall J. LeVeque",
  title =        "Logically rectangular finite volume methods with
                 adaptive refinement on the sphere",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A,
  volume =       "367",
  number =       "1907",
  pages =        "4483--4496",
  year =         "2009",
  CODEN =        "PTMSFB",
  DOI =          "http://dx.doi.org/10.1098/rsta.2009.0168",
  ISSN =         "1364-503X (print), 1471-2962 (electronic)",
  ISSN-L =       "1364-503X",
  MRclass =      "65N08 (35Q35 86A05)",
  MRnumber =     "2550979 (2011d:65324)",
  MRreviewer =   "Srinivasan Natesan",
  bibdate =      "Sat Sep 24 15:52:48 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A. Mathematical, Physical and
                 Engineering Sciences",
}

@Article{LeVeque:2011:TMA,
  author =       "Randall J. LeVeque and David L. George and Marsha J.
                 Berger",
  title =        "Tsunami modelling with adaptively refined finite
                 volume methods",
  journal =      j-ACTA-NUMERICA,
  volume =       "20",
  pages =        "211--289",
  year =         "2011",
  CODEN =        "ANUMFU",
  DOI =          "http://dx.doi.org/10.1017/S0962492911000043",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "0962-4929 (print), 1474-0508 (electronic)",
  ISSN-L =       "0962-4929",
  bibdate =      "Sat Sep 24 10:23:44 MDT 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Acta Numer.",
  fjournal =     "Acta Numerica",
  onlinedate =   "28 April 2011",
}

@Article{Berger:2012:SBM,
  author =       "Marsha Berger and Christiane Helzel",
  title =        "A Simplified $h$-box Method for Embedded Boundary
                 Grids",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "34",
  number =       "2",
  pages =        "A861--A888",
  month =        "????",
  year =         "2012",
  CODEN =        "SJOCE3",
  DOI =          "http://dx.doi.org/10.1137/110829398",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Tue Oct 30 14:48:54 MDT 2012",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/34/2;
                 http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  onlinedate =   "January 2012",
}

@Article{May:2013:TDS,
  author =       "Sandra May and Marsha Berger",
  title =        "Two-Dimensional Slope Limiters for Finite Volume
                 Schemes on Non-Coordinate-Aligned Meshes",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "35",
  number =       "5",
  pages =        "A2163--A2187",
  month =        "????",
  year =         "2013",
  CODEN =        "SJOCE3",
  DOI =          "http://dx.doi.org/10.1137/120875624",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Fri Mar 7 10:32:43 MST 2014",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/35/5;
                 http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2013",
}

%%% ====================================================================
%%% Cross-referenced entries must come last:

@Proceedings{Schultz:1981:EPS,
  editor =       "Martin H. Schultz",
  booktitle =    "{Elliptic problem solvers}",
  title =        "{Elliptic problem solvers}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiii + 444",
  year =         "1981",
  ISBN =         "0-12-632620-7",
  ISBN-13 =      "978-0-12-632620-8",
  LCCN =         "QA377 .E53 1980",
  bibdate =      "Fri Oct 26 19:03:26 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "Elliptic Problem Solvers Conference (1980 : Santa Fe,
                 N.M.)",
  remark =       "Proceedings of the Elliptic Problem Solvers Conference
                 held in Santa Fe, N.M., June 30--July 2, 1980,
                 sponsored by the Los Alamos Scientific Laboratory.",
  subject =      "Differential equations, Elliptic; Numerical solutions;
                 Congresses",
}

@Proceedings{Ames:1983:MSE,
  editor =       "William F. Ames",
  booktitle =    "{Modeling and simulation in engineering: Systems
                 simulation and scientific computation (World congress)
                 (10th: 1982 Aug: Montreal, Canada)}",
  title =        "{Modeling and simulation in engineering: Systems
                 simulation and scientific computation (World congress)
                 (10th: 1982 Aug: Montreal, Canada)}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "????",
  year =         "1983",
  ISBN =         "0-444-86606-X",
  ISBN-13 =      "978-0-444-86606-6",
  LCCN =         "????",
  bibdate =      "Fri Oct 26 19:07:42 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Babuska:1983:ACM,
  editor =       "Ivo Babuska and Jagdish Chandra and Joseph E.
                 Flaherty",
  booktitle =    "{Adaptive computational methods for partial
                 differential equations: Proceedings of the Workshop,
                 College Park, MD, USA, 1983}",
  title =        "{Adaptive computational methods for partial
                 differential equations: Proceedings of the Workshop,
                 College Park, MD, USA, 1983}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xii + 251",
  year =         "1983",
  ISBN =         "0-89871-191-6",
  ISBN-13 =      "978-0-89871-191-2",
  LCCN =         "QA377 .A29 1983",
  bibdate =      "Tue Oct 11 12:35:12 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Stepleman:1983:SCA,
  editor =       "R. S. (Robert S.) Stepleman and others",
  booktitle =    "{Scientific computing: applications of mathematics and
                 computing to the physical sciences}",
  title =        "{Scientific computing: applications of mathematics and
                 computing to the physical sciences}",
  volume =       "1",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "x + 363",
  year =         "1983",
  ISBN =         "0-444-86607-8",
  ISBN-13 =      "978-0-444-86607-3",
  LCCN =         "Q172 .I46 1982",
  bibdate =      "Fri Oct 26 19:12:17 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "IMACS transactions on scientific computation",
  acknowledgement = ack-nhfb,
  meetingname =  "IMACS World Congress on Systems Simulation and
                 Scientific Computation (10th : 1982 : Montr\'eal,
                 Qu\'ebec)",
  remark =       "Based on papers presented at the Tenth IMACS World
                 Congress on System Simulation and Scientific
                 Computation, held in Montreal, Canada, August 8--13,
                 1982.",
  subject =      "Physical sciences; Mathematics; Congresses; Data
                 processing",
}

@Book{Engquist:1985:LSC,
  editor =       "Bj{\"o}rn Engquist and Stanley Osher and Richard C. J.
                 Somerville",
  title =        "Large-scale computations in fluid mechanics",
  volume =       "22",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xv + 370 (vol. 1), x + 409 (vol. 2)",
  year =         "1985",
  ISBN =         "0-8218-1122-3",
  ISBN-13 =      "978-0-8218-1122-1",
  LCCN =         "QA901 .L37 1985",
  bibdate =      "Fri Oct 26 19:19:28 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Two volumes.",
  series =       "Lectures in applied mathematics",
  acknowledgement = ack-nhfb,
  remark =       "Papers presented at the Fifteenth AMS--SIAM Summer
                 Seminar on Applied Mathematics, held at Scripps
                 Institution of Oceanography, La Jolla, CA, June
                 27--July 8, 1983.",
  subject =      "Fluid mechanics; Congresses; Numerical analysis",
}

@Proceedings{Soubbaramayer:1985:NIC,
  editor =       "Soubbaramayer and J. P. (Jean-Paul) Boujot",
  booktitle =    "{Ninth International Conference on Numerical Methods
                 in Fluid Dynamics: [proceedings], Gif-sur-Yvette/France 1984}",
  title =        "{Ninth International Conference on Numerical Methods
                 in Fluid Dynamics: [proceedings], Gif-sur-Yvette/France 1984}",
  volume =       "218",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 612",
  year =         "1985",
  ISBN =         "0-387-13917-6",
  ISBN-13 =      "978-0-387-13917-3",
  LCCN =         "QA911 .I54 1984; QA911 .I58 1984; TA357 .I564 1984",
  bibdate =      "Fri Oct 26 18:59:09 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 melvyl.cdlib.org:210/CDL90",
  price =        "DM82.00 (West Germany)",
  series =       "Lecture notes in physics",
  acknowledgement = ack-nhfb,
  meetingname =  "International Conference on Numerical Methods in Fluid
                 Dynamics (9th : 1984 : Centre d'\'etudes nucl\'eaires
                 de Saclay)",
  remark =       "English and French.",
  subject =      "Fluid dynamics; Congresses; Numerical analysis",
}

@Proceedings{DeGroot:1985:PIC,
  editor =       "Doug DeGroot",
  booktitle =    "{Proceedings of the 1985 International Conference on
                 Parallel Processing, August 20--23, 1985}",
  title =        "{Proceedings of the 1985 International Conference on
                 Parallel Processing, August 20--23, 1985}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xx + 868",
  year =         "1985",
  ISBN =         "0-8186-0637-1 (paperback), 0-8186-8637-5 (hardback),
                 0-8186-4637-3 (microfiche)",
  ISBN-13 =      "978-0-8186-0637-3 (paperback), 978-0-8186-8637-5
                 (hardback), 978-0-8186-4637-9 (microfiche)",
  LCCN =         "QA76.6 .I613 1985; QA76.6 .I548 1985",
  bibdate =      "Fri Oct 26 18:27:16 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  meetingname =  "International Conference on Parallel Processing (1985
                 : Pennsylvania State University)",
  subject =      "Parallel processing (Electronic computers);
                 Congresses",
}

@Proceedings{Anonymous:1989:CFD,
  editor =       "Anonymous",
  booktitle =    "{9th Computational Fluid Dynamics Conference, Buffalo,
                 New York, June, 1989}",
  title =        "{9th Computational Fluid Dynamics Conference, Buffalo,
                 New York, June, 1989}",
  publisher =    pub-AIAA,
  address =      pub-AIAA:adr,
  pages =        "????",
  year =         "1989",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Oct 26 19:24:09 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Engquist:1990:TIC,
  editor =       "Bjorn Engquist and Bertil Gustafsson",
  booktitle =    "{Third International Conference on Hyperbolic
                 Problems: Theory, Numerical Methods and Applications:
                 Proceedings, Uppsala, Sweden, June 11--15, 1990}",
  title =        "{Third International Conference on Hyperbolic
                 Problems: Theory, Numerical Methods and Applications:
                 Proceedings, Uppsala, Sweden, June 11--15, 1990}",
  publisher =    "Studentlitteratur and Chartwell Bratt)",
  address =      "Lund, Sweden and Bromley, Kent, England",
  pages =        "various",
  year =         "1990",
  ISBN =         "91-44-33421-4 (Studentlitteratur), 0-86238-285-8
                 (Chartwell Bratt)",
  ISBN-13 =      "978-91-44-33421-9 (Studentlitteratur),
                 978-0-86238-285-8 (Chartwell Bratt)",
  LCCN =         "QA377.I563 1990",
  bibdate =      "Tue Oct 11 12:27:07 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Two volumes.",
  acknowledgement = ack-nhfb,
}

@Proceedings{Melson:1993:SCM,
  editor =       "N. Duane Melson and T. A. Manteuffel and S. F.
                 McCormick",
  booktitle =    "{Sixth Copper Mountain Conference on Multigrid
                 Methods: proceedings of a workshop cosponsored by the
                 National Aeronautics and Space Administration ... [et
                 al.] and held at Copper Mountain, Colorado, April 4--9,
                 1993}",
  title =        "{Sixth Copper Mountain Conference on Multigrid
                 Methods: proceedings of a workshop cosponsored by the
                 National Aeronautics and Space Administration ... [et
                 al.] and held at Copper Mountain, Colorado, April 4--9,
                 1993}",
  number =       "NSAS CP-3224",
  publisher =    "National Aeronautics and Space Administration, Office
                 of Management, Scientific and Technical Information
                 Program",
  address =      "Washington, DC, USA",
  pages =        "????",
  year =         "1993",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "0191-7811 ",
  LCCN =         "????",
  bibdate =      "Fri Oct 26 18:30:29 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Two volumes.",
  series =       "NASA conference publication",
  acknowledgement = ack-nhfb,
}

@Proceedings{Sincovec:1993:PSS,
  editor =       "Richard F. Sincovec and others",
  booktitle =    "{Proceedings of the Sixth SIAM Conference on Parallel
                 Processing for Scientific Computing, held March 22--24,
                 1993, in Norfolk, VA, USA}",
  title =        "{Proceedings of the Sixth SIAM Conference on Parallel
                 Processing for Scientific Computing, held March 22--24,
                 1993, in Norfolk, VA, USA}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xix + 1041 + iv",
  year =         "1993",
  ISBN =         "0-89871-315-3",
  ISBN-13 =      "978-0-89871-315-2",
  LCCN =         "QA76.58 .S55 1993 v.1-2",
  bibdate =      "Tue Oct 11 12:21:40 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Two volumes.",
  acknowledgement = ack-nhfb,
}

@Proceedings{Gautschi:1994:MCH,
  editor =       "Walter Gautschi",
  booktitle =    "{Mathematics of computation, 1943--1993: a
                 half-century of computational mathematics: Mathematics
                 of Computation 50th Anniversary Symposium, August
                 9--13, 1993, Vancouver, British Columbia}",
  title =        "{Mathematics of computation, 1943--1993: a
                 half-century of computational mathematics: Mathematics
                 of Computation 50th Anniversary Symposium, August
                 9--13, 1993, Vancouver, British Columbia}",
  volume =       "48",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xix + 643",
  year =         "1994",
  ISBN =         "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9
                 (pt. 2)",
  ISBN-13 =      "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1),
                 978-0-8218-0354-7 (pt. 2)",
  ISSN =         "0160-7634",
  LCCN =         "QA1 .A56 v.48 1994",
  bibdate =      "Wed Jan 15 10:09:29 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "See also SIAM Review, September 1995, {\bf 37}(3),
                 p.~483.",
  series =       "Proceedings of Symposia in Applied Mathematics",
  acknowledgement = ack-nhfb,
}

@Proceedings{Dolling:1995:ACF,
  editor =       "David S. Dolling and Bernard Grossman",
  booktitle =    "{12th AIAA Computational fluid dynamics conference: a
                 collection of technical papers: June 19--22, 1995, San
                 Diego, CA}",
  title =        "{12th AIAA Computational fluid dynamics conference: a
                 collection of technical papers: June 19--22, 1995, San
                 Diego, CA}",
  publisher =    "American Institute of Aeronautics and Astronautics",
  address =      "1801 Alexander Bell Drive, Suite 500, Reston, VA
                 20191, USA",
  pages =        "????",
  year =         "1995",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Oct 26 18:34:32 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  note =         "Two volumes.",
  acknowledgement = ack-nhfb,
}

@Proceedings{Kutler:1997:FIC,
  editor =       "Paul Kutler and J. (Jolen) Flores and J. J. Chattot",
  booktitle =    "{Fifteenth International Conference on Numerical
                 Methods in Fluid Dynamics: proceedings of the
                 conference held in Monterey, CA, USA, 24--28 June
                 1996}",
  title =        "{Fifteenth International Conference on Numerical
                 Methods in Fluid Dynamics: proceedings of the
                 conference held in Monterey, CA, USA, 24--28 June
                 1996}",
  volume =       "490",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 655",
  year =         "1997",
  ISBN =         "3-540-63054-6 (Berlin)",
  ISBN-13 =      "978-3-540-63054-8 (Berlin)",
  ISSN =         "0075-8450 (print), 1616-6361 (electronic)",
  ISSN-L =       "0075-8450",
  LCCN =         "QC150 .I59 1996",
  bibdate =      "Fri Oct 26 18:51:40 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Lecture notes in physics",
  acknowledgement = ack-nhfb,
  subject =      "Fluid dynamics; Congresses; Industrial applications;
                 Differential equations, Partial; Numerical solutions;
                 Navier--Stokes equations",
}

@Proceedings{Sakell:1996:PFA,
  editor =       "L. Sakell and D. Knight",
  booktitle =    "{Proceedings of the First AFOSR Conference on Dynamic
                 Motion CFD: New Brunswick, New Jersey, June 3--5,
                 1996}",
  title =        "{Proceedings of the First AFOSR Conference on Dynamic
                 Motion CFD: New Brunswick, New Jersey, June 3--5,
                 1996}",
  publisher =    "United States Air Force Office of Scientific
                 Research",
  address =      "Washington, DC, USA",
  pages =        "xiii + 453",
  year =         "1996",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Oct 26 18:37:57 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
  remark =       "Organized by and hosted at Rutgers University - The
                 State University of New Jersey",
}

@Proceedings{Herbin:2002:FVC,
  editor =       "Rapha{\`e}le Herbin and Dietmar Kr{\"o}ner",
  booktitle =    "{Finite volumes for complex applications {III}.
                 International Symposium on Finite Volumes for Complex
                 Applications (Third: 2002: Porquerolles Island,
                 France)}",
  title =        "{Finite volumes for complex applications {III}.
                 International Symposium on Finite Volumes for Complex
                 Applications (Third: 2002: Porquerolles Island,
                 France)}",
  publisher =    "Kogan Page Science",
  address =      "London, UK",
  pages =        "851",
  year =         "2002",
  ISBN =         "1-903996-34-1",
  ISBN-13 =      "978-1-903996-34-8",
  LCCN =         "QA911 .I56 2002",
  bibdate =      "Mon Oct 22 17:44:08 MDT 2007",
  bibsource =    "z3950.loc.gov:7090/Voyager;
                 http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
  meetingname =  "International Symposium on Finite Volumes for Complex
                 Applications (3rd : 2002 : Porquerolles Island,
                 France)",
  subject =      "Finite volume method; Congresses",
}

@Proceedings{ACM:2005:PAI,
  editor =       "{ACM}",
  booktitle =    "{Proceedings of the 2005 ACM\slash IEEE conference on
                 Supercomputing 2005, Seattle, WA, November 12--18
                 2005}",
  title =        "{Proceedings of the 2005 ACM\slash IEEE conference on
                 Supercomputing 2005, Seattle, WA, November 12--18
                 2005}",
  publisher =    pub-ACM # " and " # pub-IEEE,
  address =      pub-ACM:adr # " and " # pub-IEEE:adr,
  pages =        "????",
  year =         "2005",
  ISBN =         "1-59593-061-2",
  ISBN-13 =      "978-1-59593-061-3",
  LCCN =         "????",
  bibdate =      "Tue Dec 27 08:08:01 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  acknowledgement = ack-nhfb,
}

@Book{Zomaya:2008:ACI,
  editor =       "A. Zomaya and M. Parashar and S. Chandra and X. Li",
  title =        "Advanced Computational Infrastructures for Parallel
                 and Distributed Adaptive Applications",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "????",
  year =         "2008",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Oct 26 15:44:45 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib",
  series =       "Wiley Book Series on Parallel and Distributed
                 Computing",
  acknowledgement = ack-nhfb,
}