%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%%     author          = "Nicholas J. Higham",
%%%     version         = "1.01",
%%%     date            = "12 September 2016",
%%%     time            = "18:14:54 MDT",
%%%     filename        = "companion-applied-mathematics.bib",
%%%     address         = "School of Mathematics
%%%                        University of Manchester
%%%                        Manchester M13 9PL
%%%                        UK",
%%%     telephone       = "+44 (0)161 275 5800",
%%%     FAX             = "+44 (0)161 275 5819",
%%%     checksum        = "38565 2449 8478 90546"
%%%     email           = "nick.higham at manchester.ac.uk (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography, applied mathematics",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications in the
%%%                        book ``The Princeton Companion to Applied
%%%                        Mathematics'' (Princeton University Press,
%%%                        2015).
%%%
%%%                        The latest version of the file from which
%%%                        this file is derived for the BibNet Project,
%%%                        with the kind permission of the author, is
%%%                        available at
%%%
%%%                            https://github.com/higham/companion-applied-mathematics-bib
%%%
%%%                        At version 1.01, the year coverage looked
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%%%                             Book:             1
%%%                             InCollection:   192
%%%
%%%                             Total entries:  193
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                    e-mail: \path|nick.higham@manchester.ac.uk|"}

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

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

%%% ====================================================================
%%% Bibliography entries, sorted by pages, with  `bibsort -bypages':

@InCollection{Higham:2015:WAM,
  author =       "Nicholas J. Higham",
  title =        "What Is Applied Mathematics?",
  crossref =     "Higham:2015:PCA",
  pages =        "1--8",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:LAM,
  author =       "Nicholas J. Higham",
  title =        "The Language of Applied Mathematics",
  crossref =     "Higham:2015:PCA",
  pages =        "8--27",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:MS,
  author =       "Nicholas J. Higham",
  title =        "Methods of Solution",
  crossref =     "Higham:2015:PCA",
  pages =        "27--40",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:A,
  author =       "Nicholas J. Higham",
  title =        "Algorithms",
  crossref =     "Higham:2015:PCA",
  pages =        "40--49",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:GAM,
  author =       "Nicholas J. Higham",
  title =        "Goals of Applied Mathematical Research",
  crossref =     "Higham:2015:PCA",
  pages =        "48--55",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Barrow-Green:2015:HAM,
  author =       "June Barrow-Green and Reinhard Siegmund-Schultze",
  title =        "The History of Applied Mathematics",
  crossref =     "Higham:2015:PCA",
  pages =        "55--79",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:A,
  author =       "P. A. Martin",
  title =        "Asymptotics",
  crossref =     "Higham:2015:PCA",
  pages =        "81--82",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:BL,
  author =       "P. A. Martin",
  title =        "Boundary Layer",
  crossref =     "Higham:2015:PCA",
  pages =        "82",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Glendinning:2015:CE,
  author =       "Paul Glendinning",
  title =        "Chaos and Ergodicity",
  crossref =     "Higham:2015:PCA",
  pages =        "82--83",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Glendinning:2015:CS,
  author =       "Paul Glendinning",
  title =        "Complex Systems",
  crossref =     "Higham:2015:PCA",
  pages =        "83--84",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Crowdy:2015:CM,
  author =       "Darren Crowdy",
  title =        "Conformal Mapping",
  crossref =     "Higham:2015:PCA",
  pages =        "84--86",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Keyfitz:2015:CL,
  author =       "Barbara Lee Keyfitz",
  title =        "Conservation Laws",
  crossref =     "Higham:2015:PCA",
  pages =        "86--88",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:C,
  author =       "Nicholas J. Higham",
  title =        "Control",
  crossref =     "Higham:2015:PCA",
  pages =        "88--89",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Henrion:2015:C,
  author =       "Didier Henrion",
  title =        "Convexity",
  crossref =     "Higham:2015:PCA",
  pages =        "89--90",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Calvetti:2015:DAS,
  author =       "Daniela Calvetti and Erkki Somersalo",
  title =        "Dimensional Analysis and Scaling",
  crossref =     "Higham:2015:PCA",
  pages =        "90--93",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Rockmore:2015:FFT,
  author =       "Daniel N. Rockmore",
  title =        "The Fast {Fourier} Transform",
  crossref =     "Higham:2015:PCA",
  pages =        "94--95",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:FD,
  author =       "Nicholas J. Higham",
  title =        "Finite Differences",
  crossref =     "Higham:2015:PCA",
  pages =        "95--96",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:FEM,
  author =       "Nicholas J. Higham",
  title =        "The Finite-Element Method",
  crossref =     "Higham:2015:PCA",
  pages =        "96",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:FPA,
  author =       "Nicholas J. Higham",
  title =        "Floating-Point Arithmetic",
  crossref =     "Higham:2015:PCA",
  pages =        "96--97",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:FM,
  author =       "Nicholas J. Higham",
  title =        "Functions of Matrices",
  crossref =     "Higham:2015:PCA",
  pages =        "97--99",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Feichtinger:2015:FS,
  author =       "Hans G. Feichtinger",
  title =        "Function Spaces",
  crossref =     "Higham:2015:PCA",
  pages =        "99--101",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Davis:2015:GT,
  author =       "Timothy A. Davis and Yifan Hu",
  title =        "Graph Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "101--103",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Santosa:2015:H,
  author =       "Fadil Santosa",
  title =        "Homogenization",
  crossref =     "Higham:2015:PCA",
  pages =        "103",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Glendinning:2015:HS,
  author =       "Paul Glendinning",
  title =        "Hybrid Systems",
  crossref =     "Higham:2015:PCA",
  pages =        "103--104",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:ITC,
  author =       "Nicholas J. Higham and P. A. Martin",
  title =        "Integral Transforms and Convolution",
  crossref =     "Higham:2015:PCA",
  pages =        "104--105",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Tucker:2015:IA,
  author =       "Warwick Tucker",
  title =        "Interval Analysis",
  crossref =     "Higham:2015:PCA",
  pages =        "105--106",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Dennis:2015:ICL,
  author =       "Mark R. Dennis",
  title =        "Invariants and Conservation Laws",
  crossref =     "Higham:2015:PCA",
  pages =        "106--112",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:JCF,
  author =       "Nicholas J. Higham",
  title =        "The {Jordan} Canonical Form",
  crossref =     "Higham:2015:PCA",
  pages =        "112--113",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Simoncini:2015:KS,
  author =       "Valeria Simoncini",
  title =        "Krylov Subspaces",
  crossref =     "Higham:2015:PCA",
  pages =        "113--114",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Santosa:2015:LSM,
  author =       "Fadil Santosa",
  title =        "The Level Set Method",
  crossref =     "Higham:2015:PCA",
  pages =        "114--116",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Meini:2015:MC,
  author =       "Beatrice Meini",
  title =        "Markov Chains",
  crossref =     "Higham:2015:PCA",
  pages =        "116--117",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Benner:2015:MR,
  author =       "Peter Benner",
  title =        "Model Reduction",
  crossref =     "Higham:2015:PCA",
  pages =        "117--119",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Santosa:2015:MM,
  author =       "Fadil Santosa",
  title =        "Multiscale Modeling",
  crossref =     "Higham:2015:PCA",
  pages =        "119--120",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Raydan:2015:NEN,
  author =       "Marcos Raydan",
  title =        "Nonlinear Equations and {Newton's} Method",
  crossref =     "Higham:2015:PCA",
  pages =        "120--122",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:OP,
  author =       "Nicholas J. Higham",
  title =        "Orthogonal Polynomials",
  crossref =     "Higham:2015:PCA",
  pages =        "122",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Keyfitz:2015:S,
  author =       "Barbara Lee Keyfitz",
  title =        "Shocks",
  crossref =     "Higham:2015:PCA",
  pages =        "122--124",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:S,
  author =       "P. A. Martin",
  title =        "Singularities",
  crossref =     "Higham:2015:PCA",
  pages =        "124--125",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:SVD,
  author =       "Nicholas J. Higham",
  title =        "The Singular Value Decomposition",
  crossref =     "Higham:2015:PCA",
  pages =        "126--127",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Dennis:2015:TM,
  author =       "Mark R. Dennis",
  title =        "Tensors and Manifolds",
  crossref =     "Higham:2015:PCA",
  pages =        "127--130",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Marzouk:2015:UQ,
  author =       "Youssef Marzouk and Karen Willcox",
  title =        "Uncertainty Quantification",
  crossref =     "Higham:2015:PCA",
  pages =        "131--133",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:VP,
  author =       "Nicholas J. Higham",
  title =        "Variational Principle",
  crossref =     "Higham:2015:PCA",
  pages =        "134",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:WP,
  author =       "P. A. Martin",
  title =        "Wave Phenomena",
  crossref =     "Higham:2015:PCA",
  pages =        "134",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Hill:2015:BL,
  author =       "Theodore P. Hill",
  title =        "Benford's Law",
  crossref =     "Higham:2015:PCA",
  pages =        "135--137",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:BF,
  author =       "P. A. Martin",
  title =        "Bessel Functions",
  crossref =     "Higham:2015:PCA",
  pages =        "137",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:BSE,
  author =       "Nicholas J. Higham",
  title =        "The {Black--Scholes} Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "137--138",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:BE,
  author =       "P. A. Martin",
  title =        "The {Burgers} Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "138",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Novick-Cohen:2015:CHE,
  author =       "Amy Novick-Cohen",
  title =        "The {Cahn--Hilliard} Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "139--140",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:CRE,
  author =       "P. A. Martin",
  title =        "The {Cauchy--Riemann} Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "139",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Upton:2015:DFG,
  author =       "P. J. Upton",
  title =        "The Delta Function and Generalized Functions",
  crossref =     "Higham:2015:PCA",
  pages =        "139--141",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:DE,
  author =       "P. A. Martin",
  title =        "The Diffusion Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "142",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Dennis:2015:DE,
  author =       "Mark R. Dennis",
  title =        "The {Dirac} Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "142--144",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{MacCallum:2015:EFE,
  author =       "Malcolm A. H. MacCallum",
  title =        "Einstein's Field Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "144--146",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:EE,
  author =       "P. A. Martin",
  title =        "The {Euler} Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "146--147",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Glendinning:2015:ELE,
  author =       "Paul Glendinning",
  title =        "The {Euler--Lagrange} Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "147",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:GF,
  author =       "P. A. Martin",
  title =        "The Gamma Function",
  crossref =     "Higham:2015:PCA",
  pages =        "148",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Chapman:2015:GLE,
  author =       "S. Jonathan Chapman",
  title =        "The {Ginzburg--Landau} Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "148--149",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:HL,
  author =       "P. A. Martin",
  title =        "Hooke's Law",
  crossref =     "Higham:2015:PCA",
  pages =        "149--150",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Hereman:2015:KVE,
  author =       "Willy A. Hereman",
  title =        "The {Korteweg--de Vries} Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "150--151",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Corless:2015:LF,
  author =       "Robert M. Corless and David J. Jeffrey",
  title =        "The {Lambert $W$} Function",
  crossref =     "Higham:2015:PCA",
  pages =        "151--155",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:LE,
  author =       "P. A. Martin",
  title =        "Laplace's Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "155--156",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Glendinning:2015:LEa,
  author =       "Paul Glendinning",
  title =        "The Logistic Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "156--158",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Glendinning:2015:LEb,
  author =       "Paul Glendinning",
  title =        "The {Lorenz} Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "158--159",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Gutierrez-Vega:2015:MF,
  author =       "Julio C. Guti{\'e}rrez-Vega",
  title =        "Mathieu Functions",
  crossref =     "Higham:2015:PCA",
  pages =        "159--160",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Dennis:2015:ME,
  author =       "Mark R. Dennis",
  title =        "Maxwell's Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "160--162",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Moffatt:2015:NSE,
  author =       "H. K. Moffatt",
  title =        "The {Navier--Stokes} Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "162--163",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Clarkson:2015:PE,
  author =       "Peter A. Clarkson",
  title =        "The {Painlev{\'e}} Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "163--165",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Laub:2015:RE,
  author =       "Alan J. Laub",
  title =        "The {Riccati} Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "165--167",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Dennis:2015:SE,
  author =       "Mark R. Dennis",
  title =        "Schr{\"o}dinger's Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "167",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:SWE,
  author =       "P. A. Martin",
  title =        "The Shallow-Water Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "167--168",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:SLE,
  author =       "Nicholas J. Higham",
  title =        "The {Sylvester} and {Lyapunov} Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "168--169",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Bernoff:2015:TFE,
  author =       "Andrew J. Bernoff",
  title =        "The Thin-Film Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "169--170",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Chen:2015:TE,
  author =       "Gui-Qiang G. Chen",
  title =        "The {Tricomi} Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "170--171",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:WE,
  author =       "P. A. Martin",
  title =        "The Wave Equation",
  crossref =     "Higham:2015:PCA",
  pages =        "171",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:CA,
  author =       "P. A. Martin",
  title =        "Complex Analysis",
  crossref =     "Higham:2015:PCA",
  pages =        "173--181",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Meiss:2015:ODE,
  author =       "James D. Meiss",
  title =        "Ordinary Differential Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "181--190",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Evans:2015:PDE,
  author =       "Lawrence C. Evans",
  title =        "Partial Differential Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "190--200",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Kress:2015:IE,
  author =       "Rainer Kress",
  title =        "Integral Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "200--208",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Miller:2015:PTA,
  author =       "Peter D. Miller",
  title =        "Perturbation Theory and Asymptotics",
  crossref =     "Higham:2015:PCA",
  pages =        "208--218",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Fonseca:2015:CV,
  author =       "Irene Fonseca and Giovanni Leoni",
  title =        "Calculus of Variations",
  crossref =     "Higham:2015:PCA",
  pages =        "218--226",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Temme:2015:SF,
  author =       "Nico M. Temme",
  title =        "Special Functions",
  crossref =     "Higham:2015:PCA",
  pages =        "227--235",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Davies:2015:ST,
  author =       "E. Brian Davies",
  title =        "Spectral Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "236--248",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Cuyt:2015:AT,
  author =       "Annie Cuyt",
  title =        "Approximation Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "248--262",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:NLA,
  author =       "Nicholas J. Higham",
  title =        "Numerical Linear Algebra and Matrix Analysis",
  crossref =     "Higham:2015:PCA",
  pages =        "263--281",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Wright:2015:CON,
  author =       "Stephen J. Wright",
  title =        "Continuous Optimization (Nonlinear and Linear
                 Programming)",
  crossref =     "Higham:2015:PCA",
  pages =        "281--293",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Hairer:2015:NSO,
  author =       "Ernst Hairer and Christian Lubich",
  title =        "Numerical Solution of Ordinary Differential
                 Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "293--305",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Suli:2015:NSP,
  author =       "Endre S{\"u}li",
  title =        "Numerical Solution of Partial Differential Equations",
  crossref =     "Higham:2015:PCA",
  pages =        "306--319",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Oksendal:2015:ASA,
  author =       "Bernt {\O}ksendal and Agn{\`e}s Sulem",
  title =        "Applications of Stochastic Analysis",
  crossref =     "Higham:2015:PCA",
  pages =        "319--327",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Santosa:2015:IP,
  author =       "Fadil Santosa and William W. Symes",
  title =        "Inverse Problems",
  crossref =     "Higham:2015:PCA",
  pages =        "327--335",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Keyes:2015:CS,
  author =       "David E. Keyes",
  title =        "Computational Science",
  crossref =     "Higham:2015:PCA",
  pages =        "335--350",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Kamath:2015:DMA,
  author =       "Chandrika Kamath",
  title =        "Data Mining and Analysis",
  crossref =     "Higham:2015:PCA",
  pages =        "350--360",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Moro:2015:NA,
  author =       "Esteban Moro",
  title =        "Network Analysis",
  crossref =     "Higham:2015:PCA",
  pages =        "360--374",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Tong:2015:CM,
  author =       "David Tong",
  title =        "Classical Mechanics",
  crossref =     "Higham:2015:PCA",
  pages =        "374--383",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Holmes:2015:DS,
  author =       "Philip Holmes",
  title =        "Dynamical Systems",
  crossref =     "Higham:2015:PCA",
  pages =        "383--393",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Glendinning:2015:BT,
  author =       "Paul Glendinning",
  title =        "Bifurcation Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "393--402",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Stewart:2015:SAM,
  author =       "Ian Stewart",
  title =        "Symmetry in Applied Mathematics",
  crossref =     "Higham:2015:PCA",
  pages =        "402--410",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Griffiths:2015:QM,
  author =       "David Griffiths",
  title =        "Quantum Mechanics",
  crossref =     "Higham:2015:PCA",
  pages =        "411--419",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Keating:2015:RMT,
  author =       "Jonathan Peter Keating",
  title =        "Random-Matrix Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "419--428",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Villani:2015:KT,
  author =       "C{\'e}dric Villani and Cl{\'e}ment Mouhot",
  title =        "Kinetic Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "428--446",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{James:2015:CM,
  author =       "Richard D. James",
  title =        "Continuum Mechanics",
  crossref =     "Higham:2015:PCA",
  pages =        "446--458",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Scheel:2015:PF,
  author =       "Arnd Scheel",
  title =        "Pattern Formation",
  crossref =     "Higham:2015:PCA",
  pages =        "458--467",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Moffatt:2015:FD,
  author =       "H. K. Moffatt",
  title =        "Fluid Dynamics",
  crossref =     "Higham:2015:PCA",
  pages =        "467--476",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Hughes:2015:M,
  author =       "David W. Hughes",
  title =        "Magnetohydrodynamics",
  crossref =     "Higham:2015:PCA",
  pages =        "476--485",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Shuckburgh:2015:ESD,
  author =       "Emily Shuckburgh",
  title =        "Earth System Dynamics",
  crossref =     "Higham:2015:PCA",
  pages =        "485--500",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{McPhedran:2015:EMT,
  author =       "Ross C. McPhedran",
  title =        "Effective Medium Theories",
  crossref =     "Higham:2015:PCA",
  pages =        "500--505",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Freund:2015:MS,
  author =       "L. B. Freund",
  title =        "Mechanics of Solids",
  crossref =     "Higham:2015:PCA",
  pages =        "505--516",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Kamien:2015:SM,
  author =       "Randall D. Kamien",
  title =        "Soft Matter",
  crossref =     "Higham:2015:PCA",
  pages =        "516--523",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Rantzer:2015:CT,
  author =       "Anders Rantzer and Karl Johan {\AA}str{\"o}m",
  title =        "Control Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "523--533",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{McWhirter:2015:SP,
  author =       "John G. McWhirter and Ian Proudler",
  title =        "Signal Processing",
  crossref =     "Higham:2015:PCA",
  pages =        "533--545",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Verdu:2015:IT,
  author =       "Sergio Verd{\'u}",
  title =        "Information Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "545--552",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Winkler:2015:ACG,
  author =       "Peter Winkler",
  title =        "Applied Combinatorics and Graph Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "552--564",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Vygen:2015:CO,
  author =       "Jens Vygen",
  title =        "Combinatorial Optimization",
  crossref =     "Higham:2015:PCA",
  pages =        "564--570",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Sottile:2015:AG,
  author =       "Frank Sottile",
  title =        "Algebraic Geometry",
  crossref =     "Higham:2015:PCA",
  pages =        "570--579",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Ellis:2015:GRC,
  author =       "George F. R. Ellis",
  title =        "General Relativity and Cosmology",
  crossref =     "Higham:2015:PCA",
  pages =        "579--590",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Krakauer:2015:MAT,
  author =       "David Krakauer and Daniel N. Rockmore",
  title =        "The Mathematics of Adaptation (Or the Ten Avatars of
                 {Vishnu})",
  crossref =     "Higham:2015:PCA",
  pages =        "591--597",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Parolini:2015:S,
  author =       "Nicola Parolini and Alfio Quarteroni",
  title =        "Sport",
  crossref =     "Higham:2015:PCA",
  pages =        "598--604",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Smith:2015:I,
  author =       "Malcolm C. Smith",
  title =        "Inerters",
  crossref =     "Higham:2015:PCA",
  pages =        "604--609",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Jensen:2015:MB,
  author =       "Oliver E. Jensen",
  title =        "Mathematical Biomechanics",
  crossref =     "Higham:2015:PCA",
  pages =        "609--616",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Layton:2015:MP,
  author =       "Anita T. Layton",
  title =        "Mathematical Physiology",
  crossref =     "Higham:2015:PCA",
  pages =        "616--623",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Panfilov:2015:CM,
  author =       "Alexander V. Panfilov",
  title =        "Cardiac Modeling",
  crossref =     "Higham:2015:PCA",
  pages =        "623--627",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Feinberg:2015:CR,
  author =       "Martin Feinberg",
  title =        "Chemical Reactions",
  crossref =     "Higham:2015:PCA",
  pages =        "627--634",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Berry:2015:DST,
  author =       "Michael V. Berry and Christopher J. Howls",
  title =        "Divergent Series: Taming the Tail",
  crossref =     "Higham:2015:PCA",
  pages =        "634--640",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Carmona:2015:FM,
  author =       "Ren{\'e} Carmona and Ronnie Sircar",
  title =        "Financial Mathematics",
  crossref =     "Higham:2015:PCA",
  pages =        "640--648",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Brennan:2015:PT,
  author =       "Thomas J. Brennan and Andrew W. Lo and Tri-Dung
                 Nguyen",
  title =        "Portfolio Theory",
  crossref =     "Higham:2015:PCA",
  pages =        "648--658",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:BIA,
  author =       "Desmond J. Higham",
  title =        "Bayesian Inference in Applied Mathematics",
  crossref =     "Higham:2015:PCA",
  pages =        "658--661",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Strang:2015:SFM,
  author =       "Gilbert Strang",
  title =        "A Symmetric Framework with Many Applications",
  crossref =     "Higham:2015:PCA",
  pages =        "661--665",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Goddard:2015:GF,
  author =       "Joe D. Goddard",
  title =        "Granular Flows",
  crossref =     "Higham:2015:PCA",
  pages =        "665--673",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Alonso:2015:MO,
  author =       "Miguel A. Alonso",
  title =        "Modern Optics",
  crossref =     "Higham:2015:PCA",
  pages =        "673--680",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Hawke:2015:NR,
  author =       "Ian Hawke",
  title =        "Numerical Relativity",
  crossref =     "Higham:2015:PCA",
  pages =        "680--687",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Brauer:2015:SID,
  author =       "Fred Brauer and P. van den Driessche",
  title =        "The Spread of Infectious Diseases",
  crossref =     "Higham:2015:PCA",
  pages =        "687--694",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Golden:2015:MSI,
  author =       "Kenneth M. Golden",
  title =        "The Mathematics of Sea Ice",
  crossref =     "Higham:2015:PCA",
  pages =        "694--705",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Lynch:2015:NWP,
  author =       "Peter Lynch",
  title =        "Numerical Weather Prediction",
  crossref =     "Higham:2015:PCA",
  pages =        "705--712",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{LeVeque:2015:TM,
  author =       "Randall J. LeVeque",
  title =        "Tsunami Modeling",
  crossref =     "Higham:2015:PCA",
  pages =        "712--720",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Chapman:2015:SW,
  author =       "C. J. Chapman",
  title =        "Shock Waves",
  crossref =     "Higham:2015:PCA",
  pages =        "720--724",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Hunt:2015:T,
  author =       "Julian C. R. Hunt",
  title =        "Turbulence",
  crossref =     "Higham:2015:PCA",
  pages =        "724--732",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Bryan:2015:C,
  author =       "Kurt Bryan and Tanya Leise",
  title =        "Cloaking",
  crossref =     "Higham:2015:PCA",
  pages =        "733--735",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Prosperetti:2015:B,
  author =       "Andrea Prosperetti",
  title =        "Bubbles",
  crossref =     "Higham:2015:PCA",
  pages =        "735--737",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Weaire:2015:F,
  author =       "Denis Weaire and Stefan Hutzler",
  title =        "Foams",
  crossref =     "Higham:2015:PCA",
  pages =        "737--741",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Acheson:2015:IP,
  author =       "David Acheson",
  title =        "Inverted Pendulums",
  crossref =     "Higham:2015:PCA",
  pages =        "741--743",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Wang:2015:IF,
  author =       "Z. Jane Wang",
  title =        "Insect Flight",
  crossref =     "Higham:2015:PCA",
  pages =        "743--746",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Arnold:2015:FGB,
  author =       "Douglas N. Arnold",
  title =        "The Flight of a Golf Ball",
  crossref =     "Higham:2015:PCA",
  pages =        "746--749",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Griewank:2015:AD,
  author =       "Andreas Griewank",
  title =        "Automatic Differentiation",
  crossref =     "Higham:2015:PCA",
  pages =        "749--752",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Buck:2015:KLM,
  author =       "Dorothy Buck",
  title =        "Knotting and Linking of Macromolecules",
  crossref =     "Higham:2015:PCA",
  pages =        "752--755",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Gleich:2015:RWP,
  author =       "David F. Gleich and Paul G. Constantine",
  title =        "Ranking Web Pages",
  crossref =     "Higham:2015:PCA",
  pages =        "755--757",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Davis:2015:SG,
  author =       "Timothy A. Davis",
  title =        "Searching a Graph",
  crossref =     "Higham:2015:PCA",
  pages =        "757--759",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{deDinechin:2015:EEF,
  author =       "Florent de Dinechin and Jean-Michel Muller",
  title =        "Evaluating Elementary Functions",
  crossref =     "Higham:2015:PCA",
  pages =        "759--761",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Niederreiter:2015:RNG,
  author =       "Harald Niederreiter",
  title =        "Random Number Generation",
  crossref =     "Higham:2015:PCA",
  pages =        "761--762",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Borggaard:2015:OSL,
  author =       "Jeffrey T. Borggaard and John A. Burns and Eugene M.
                 Cliff",
  title =        "Optimal Sensor Location in the Control of
                 Energy-Efficient Buildings",
  crossref =     "Higham:2015:PCA",
  pages =        "763--767",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Wampler:2015:R,
  author =       "Charles W. Wampler",
  title =        "Robotics",
  crossref =     "Higham:2015:PCA",
  pages =        "767--769",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Budd:2015:SSR,
  author =       "Chris Budd",
  title =        "Slipping, Sliding, Rattling, and Impact: Nonsmooth
                 Dynamics and Its Applications",
  crossref =     "Higham:2015:PCA",
  pages =        "769--771",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Saari:2015:BPA,
  author =       "Donald G. Saari",
  title =        "From the {$N$}-Body Problem to Astronomy and Dark
                 Matter",
  crossref =     "Higham:2015:PCA",
  pages =        "771--774",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Ying:2015:BPF,
  author =       "Lexing Ying",
  title =        "The {$N$}-Body Problem and the Fast Multipole Method",
  crossref =     "Higham:2015:PCA",
  pages =        "775--778",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Cook:2015:TSP,
  author =       "William Cook",
  title =        "The Traveling Salesman Problem",
  crossref =     "Higham:2015:PCA",
  pages =        "778--781",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Chapman:2015:AN,
  author =       "C. J. Chapman",
  title =        "Aircraft Noise",
  crossref =     "Higham:2015:PCA",
  pages =        "783--786",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Grandine:2015:HSN,
  author =       "Thomas A. Grandine",
  title =        "A Hybrid Symbolic--Numeric Approach to Geometry
                 Processing and Modeling",
  crossref =     "Higham:2015:PCA",
  pages =        "787--790",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Tucker:2015:CAP,
  author =       "Warwick Tucker",
  title =        "Computer-Aided Proofs via Interval Analysis",
  crossref =     "Higham:2015:PCA",
  pages =        "790--795",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Broomhead:2015:AMP,
  author =       "David S. Broomhead",
  title =        "Applications of Max-Plus Algebra",
  crossref =     "Higham:2015:PCA",
  pages =        "795--800",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Grindrod:2015:ESN,
  author =       "Peter Grindrod",
  title =        "Evolving Social Networks, Attitudes, and Beliefs---and
                 Counterterrorism",
  crossref =     "Higham:2015:PCA",
  pages =        "800--804",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Held:2015:CD,
  author =       "Stephan Held and Stefan Hougardy and Jens Vygen",
  title =        "Chip Design",
  crossref =     "Higham:2015:PCA",
  pages =        "804--808",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:CSD,
  author =       "Nicholas J. Higham",
  title =        "Color Spaces and Digital Imaging",
  crossref =     "Higham:2015:PCA",
  pages =        "808--813",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Sapiro:2015:MIP,
  author =       "Guillermo Sapiro",
  title =        "Mathematical Image Processing",
  crossref =     "Higham:2015:PCA",
  pages =        "813--816",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Epstein:2015:MI,
  author =       "Charles L. Epstein",
  title =        "Medical Imaging",
  crossref =     "Higham:2015:PCA",
  pages =        "816--823",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Eldar:2015:CS,
  author =       "Yonina C. Eldar",
  title =        "Compressed Sensing",
  crossref =     "Higham:2015:PCA",
  pages =        "823--827",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:PLA,
  author =       "Nicholas J. Higham",
  title =        "Programming Languages: {An} Applied Mathematics View",
  crossref =     "Higham:2015:PCA",
  pages =        "828--839",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Dongarra:2015:HPC,
  author =       "Jack Dongarra",
  title =        "High-Performance Computing",
  crossref =     "Higham:2015:PCA",
  pages =        "839--843",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Potter:2015:V,
  author =       "Kristin Potter and Chris R. Johnson",
  title =        "Visualization",
  crossref =     "Higham:2015:PCA",
  pages =        "843--847",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Cances:2015:ESC,
  author =       "Eric Canc{\`e}s",
  title =        "Electronic Structure Calculations (Solid State
                 Physics)",
  crossref =     "Higham:2015:PCA",
  pages =        "847--851",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Matalon:2015:FP,
  author =       "Moshe Matalon",
  title =        "Flame Propagation",
  crossref =     "Higham:2015:PCA",
  pages =        "852--857",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Snieder:2015:IEU,
  author =       "Roel Snieder",
  title =        "Imaging the {Earth} Using {Green's} Theorem",
  crossref =     "Higham:2015:PCA",
  pages =        "857--860",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Cheney:2015:RI,
  author =       "Margaret Cheney and Brett Borden",
  title =        "Radar Imaging",
  crossref =     "Higham:2015:PCA",
  pages =        "860--864",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{McKee:2015:MPT,
  author =       "Sean McKee",
  title =        "Modeling a Pregnancy Testing Kit",
  crossref =     "Higham:2015:PCA",
  pages =        "864--866",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Lionheart:2015:ABS,
  author =       "W. R. B. Lionheart",
  title =        "Airport Baggage Screening with {X}-Ray Tomography",
  crossref =     "Higham:2015:PCA",
  pages =        "866--868",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Ekeland:2015:ME,
  author =       "Ivar Ekeland",
  title =        "Mathematical Economics",
  crossref =     "Higham:2015:PCA",
  pages =        "868--873",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Ermentrout:2015:MN,
  author =       "Bard Ermentrout",
  title =        "Mathematical Neuroscience",
  crossref =     "Higham:2015:PCA",
  pages =        "873--879",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Nie:2015:SB,
  author =       "Qing Nie",
  title =        "Systems Biology",
  crossref =     "Higham:2015:PCA",
  pages =        "879--883",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Willinger:2015:CN,
  author =       "Walter Willinger",
  title =        "Communication Networks",
  crossref =     "Higham:2015:PCA",
  pages =        "883--887",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Martin:2015:TM,
  author =       "Dian I. Martin and Michael W. Berry",
  title =        "Text Mining",
  crossref =     "Higham:2015:PCA",
  pages =        "887--891",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Saari:2015:VS,
  author =       "Donald G. Saari",
  title =        "Voting Systems",
  crossref =     "Higham:2015:PCA",
  pages =        "891--895",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Gowers:2015:MW,
  author =       "Timothy Gowers",
  title =        "Mathematical Writing",
  crossref =     "Higham:2015:PCA",
  pages =        "897--903",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:HRU,
  author =       "Nicholas J. Higham",
  title =        "How to Read and Understand a Paper",
  crossref =     "Higham:2015:PCA",
  pages =        "903--906",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Stewart:2015:HWG,
  author =       "Ian Stewart",
  title =        "How to Write a General Interest Mathematics Book",
  crossref =     "Higham:2015:PCA",
  pages =        "906--912",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Higham:2015:W,
  author =       "Nicholas J. Higham",
  title =        "Workflow",
  crossref =     "Higham:2015:PCA",
  pages =        "912--916",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Donoho:2015:RRM,
  author =       "David L. Donoho and Victoria Stodden",
  title =        "Reproducible Research in the Mathematical Sciences",
  crossref =     "Higham:2015:PCA",
  pages =        "916--925",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Bailey:2015:EAM,
  author =       "David H. Bailey and Jonathan M. Borwein",
  title =        "Experimental Applied Mathematics",
  crossref =     "Higham:2015:PCA",
  pages =        "925--933",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Acheson:2015:WBP,
  author =       "David Acheson",
  title =        "What's the Big Picture?",
  crossref =     "Higham:2015:PCA",
  pages =        "933--935",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Turner:2015:CMP,
  author =       "Peter R. Turner",
  title =        "Computation, Modeling, and Projects",
  crossref =     "Higham:2015:PCA",
  pages =        "935--938",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Strang:2015:WTH,
  author =       "Gilbert Strang",
  title =        "What to Teach and How?",
  crossref =     "Higham:2015:PCA",
  pages =        "938--940",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Levy:2015:IMI,
  author =       "Rachel Levy",
  title =        "Industrial Mathematics Inspires Mathematical Modeling
                 Tasks",
  crossref =     "Higham:2015:PCA",
  pages =        "940--943",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Mendick:2015:MMR,
  author =       "Heather Mendick",
  title =        "Mediated Mathematics: {Representations} of Mathematics
                 in Popular Culture and Why These Matter",
  crossref =     "Higham:2015:PCA",
  pages =        "943--952",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Yuan:2015:HCM,
  author =       "Ya-xiang Yuan",
  title =        "How {Chinese} Mathematicians Influence Government",
  crossref =     "Higham:2015:PCA",
  pages =        "953--954",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Esteban:2015:PEF,
  author =       "Maria Esteban",
  title =        "A Personal Experience in {France} and {Europe} of How
                 to Influence Government as a Mathematician",
  crossref =     "Higham:2015:PCA",
  pages =        "954--956",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Crowley:2015:SSP,
  author =       "Jim Crowley",
  title =        "{SIAM} and Science Policy in the {United States}",
  crossref =     "Higham:2015:PCA",
  pages =        "956--959",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

@InCollection{Fitt:2015:MCU,
  author =       "Alistair D. Fitt",
  title =        "Making the Case for {U.K.} Mathematics Research in a
                 Rapidly Changing Environment",
  crossref =     "Higham:2015:PCA",
  pages =        "959--961",
  year =         "2015",
  bibdate =      "Tue Sep 15 06:05:16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib",
  acknowledgement = ack-njh,
}

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

@Book{Higham:2015:PCA,
  editor =       "Nicholas J. Higham and Mark R. Dennis and Paul
                 Glendinning and Paul A. Martin and Fadil Santosa and
                 Jared Tanner",
  booktitle =    "The {Princeton} Companion to Applied Mathematics",
  title =        "The {Princeton} Companion to Applied Mathematics",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "xvii + 3 + 994 + 16",
  year =         "2015",
  ISBN =         "0-691-15039-7 (hardcover)",
  ISBN-13 =      "978-0-691-15039-0 (hardcover)",
  LCCN =         "QA155 .P75 2015",
  bibdate =      "Wed Sep 9 05:32:49 MDT 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://press.princeton.edu/titles/10592.html",
  abstract =     "This is the most authoritative and accessible
                 single-volume reference book on applied mathematics.
                 Featuring numerous entries by leading experts and
                 organized thematically, it introduces readers to
                 applied mathematics and its uses; explains key
                 concepts; describes important questions, laws, and
                 functions; looks at exciting areas of research; covers
                 modeling and simulation; explores areas of application;
                 and more. Modeled on the popular Princeton Companion to
                 Mathematics, this volume is an indispensable resource
                 for undergraduate and graduate students, researchers,
                 and practitioners in other disciplines seeking a
                 user-friendly reference book on applied mathematics.",
  acknowledgement = ack-njh,
  subject =      "Algebra; Mathematics; Mathematical models",
  tableofcontents = "Preface / ix \\
                 Contributors / xiii \\
                 Part I: Introduction to Applied Mathematics \\
                 I.1 What Is Applied Mathematics? / 1 \\
                 I.2 The Language of Applied Mathematics / 8 \\
                 I.3 Methods of Solution / 27 \\
                 I.4 Algorithms / 40 \\
                 I.5 Goals of Applied Mathematical Research / 48 \\
                 I.6 The History of Applied Mathematics / 55 \\
                 Part II: Concepts \\
                 II.1 Asymptotics / 81 \\
                 II.2 Boundary Layer / 82 \\
                 II.3 Chaos and Ergodicity / 82 \\
                 II.4 Complex Systems / 83 \\
                 II.5 Conformal Mapping / 84 \\
                 II.6 Conservation Laws / 86 \\
                 II.7 Control / 88 \\
                 II.8 Convexity / 89 \\
                 II.9 Dimensional Analysis and Scaling / 90 \\
                 II.10 The Fast Fourier Transform / 94 \\
                 II.11 Finite Differences / 95 \\
                 II.12 The Finite-Element Method / 96 \\
                 II.13 Floating-Point Arithmetic / 96 \\
                 II.14 Functions of Matrices / 97 \\
                 II.15 Function Spaces / 99 \\
                 II.16 Graph Theory / 101 \\
                 II.17 Homogenization / 103 \\
                 II.18 Hybrid Systems / 103 \\
                 II.19 Integral Transforms and Convolution / 104 \\
                 II.20 Interval Analysis / 105 \\
                 II.21 Invariants and Conservation Laws / 106 \\
                 II.22 The Jordan Canonical Form / 112 \\
                 II.23 Krylov Subspaces / 113 \\
                 II.24 The Level Set Method / 114 \\
                 II.25 Markov Chains / 116 \\
                 II.26 Model Reduction / 117 \\
                 II.27 Multiscale Modeling / 119 \\
                 II.28 Nonlinear Equations and Newton's Method / 120 \\
                 II.29 Orthogonal Polynomials / 122 \\
                 II.30 Shocks / 122 \\
                 II.31 Singularities / 124 \\
                 II.32 The Singular Value Decomposition / 126 \\
                 II.33 Tensors and Manifolds / 127 \\
                 II.34 Uncertainty Quantification / 131 \\
                 II.35 Variational Principle / 134 \\
                 II.36 Wave Phenomena / 134 \\
                 Part III: Equations, Laws, and Functions of Applied
                 Mathematics \\
                 III.1 Benford's Law / 135 \\
                 III.2 Bessel Functions / 137 \\
                 III.3 The Black--Scholes Equation / 137 \\
                 III.4 The Burgers Equation / 138 \\
                 III.5 The Cahn--Hilliard Equation / 138 \\
                 III.6 The Cauchy--Riemann Equations / 139 \\
                 III.7 The Delta Function and Generalized Functions /
                 139 \\
                 III.8 The Diffusion Equation / 142 \\
                 III.9 The Dirac Equation / 142 \\
                 III.10 Einstein's Field Equations / 144 \\
                 III.11 The Euler Equations / 146 \\
                 III.12 The Euler--Lagrange Equations / 147 \\
                 III.13 The Gamma Function / 148 \\
                 III.14 The Ginzburg--Landau Equation / 148 \\
                 III.15 Hooke's Law / 149 \\
                 III.16 The Korteweg--de Vries Equation / 150 \\
                 III.17 The Lambert $W$ Function / 151 \\
                 III.18 Laplace's Equation / 155 \\
                 III.19 The Logistic Equation / 156 \\
                 III.20 The Lorenz Equations / 158 \\
                 III.21 Mathieu Functions / 159 \\
                 III.22 Maxwell's Equations / 160 \\
                 III.23 The Navier--Stokes Equations / 162 \\
                 III.24 The Painlev{\'e} Equations / 163 \\
                 III.25 The Riccati Equation / 165 \\
                 III.26 Schr{\"o}dinger's Equation / 167 \\
                 III.27 The Shallow-Water Equations / 167 \\
                 III.28 The Sylvester and Lyapunov Equations / 168 \\
                 III.29 The Thin-Film Equation / 169 \\
                 III.30 The Tricomi Equation / 170 \\
                 III.31 The Wave Equation / 171 \\
                 Part IV: Areas of Applied Mathematics \\
                 IV.1 Complex Analysis / 173 \\
                 IV.2 Ordinary Differential Equations / 181 \\
                 IV.3 Partial Differential Equations / 190 \\
                 IV.4 Integral Equations / 200 \\
                 IV.5 Perturbation Theory and Asymptotics / 208 \\
                 IV.6 Calculus of Variations / 218 \\
                 IV.7 Special Functions / 227 \\
                 IV.8 Spectral Theory / 236 \\
                 IV.9 Approximation Theory / 248 \\
                 IV.10 Numerical Linear Algebra and Matrix Analysis /
                 263 \\
                 IV.11 Continuous Optimization (Nonlinear and Linear
                 Programming) / 281 \\
                 IV.12 Numerical Solution of Ordinary Differential
                 Equations / 293 \\
                 IV.13 Numerical Solution of Partial Differential
                 Equations / 306 \\
                 IV.14 Applications of Stochastic Analysis / 319 \\
                 IV.15 Inverse Problems / 327 \\
                 IV.16 Computational Science / 335 \\
                 IV.17 Data Mining and Analysis / 350 \\
                 IV.18 Network Analysis / 360 \\
                 IV.19 Classical Mechanics / 374 \\
                 IV.20 Dynamical Systems / 383 \\
                 IV.21 Bifurcation Theory / 393 \\
                 IV.22 Symmetry in Applied Mathematics / 402 \\
                 IV.23 Quantum Mechanics / 411 \\
                 IV.24 Random-Matrix Theory / 419 \\
                 IV.25 Kinetic Theory / 428 \\
                 IV.26 Continuum Mechanics / 446 \\
                 IV.27 Pattern Formation / 458 \\
                 IV.28 Fluid Dynamics / 467 \\
                 IV.29 Magnetohydrodynamics / 476 \\
                 IV.30 Earth System Dynamics / 485 \\
                 IV.31 Effective Medium Theories / 500 \\
                 IV.32 Mechanics of Solids / 505 \\
                 IV.33 Soft Matter / 516 \\
                 IV.34 Control Theory / 523 \\
                 IV.35 Signal Processing / 533 \\
                 IV.36 Information Theory / 545 \\
                 IV.37 Applied Combinatorics and Graph Theory / 552 \\
                 IV.38 Combinatorial Optimization / 564 \\
                 IV.39 Algebraic Geometry / 570 \\
                 IV.40 General Relativity and Cosmology / 579 \\
                 Part V: Modeling \\
                 V.1 The Mathematics of Adaptation (Or the Ten Avatars
                 of Vishnu) / 591 \\
                 V.2 Sport / 598 \\
                 V.3 Inerters / 604 \\
                 V.4 Mathematical Biomechanics / 609 \\
                 V.5 Mathematical Physiology / 616 \\
                 V.6 Cardiac Modeling / 623 \\
                 V.7 Chemical Reactions / 627 \\
                 V.8 Divergent Series: Taming the Tails / 634 \\
                 V.9 Financial Mathematics / 640 \\
                 V.10 Portfolio Theory / 648 \\
                 V.11 Bayesian Inference in Applied Mathematics / 658
                 \\
                 V.12 A Symmetric Framework with Many Applications / 661
                 \\
                 V.13 Granular Flows / 665 \\
                 V.14 Modern Optics / 673 \\
                 V.15 Numerical Relativity / 680 \\
                 V.16 The Spread of Infectious Diseases / 687 \\
                 V.17 The Mathematics of Sea Ice / 694 \\
                 V.18 Numerical Weather Prediction / 705 \\
                 V.19 Tsunami Modeling / 712 \\
                 V.20 Shock Waves / 720 \\
                 V.21 Turbulence / 724 \\
                 Part VI: Example Problems \\
                 VI.1 Cloaking / 733 \\
                 VI.2 Bubbles / 735 \\
                 VI.3 Foams / 737 \\
                 VI.4 Inverted Pendulums / 741 \\
                 VI.5 Insect Flight / 743 \\
                 VI.6 The Flight of a Golf Ball / 746 \\
                 VI.7 Automatic Differentiation / 749 \\
                 VI.8 Knotting and Linking of Macromolecules / 752 \\
                 VI.9 Ranking Web Pages / 755 \\
                 VI.10 Searching a Graph / 757 \\
                 VI.11 Evaluating Elementary Functions / 759 \\
                 VI.12 Random Number Generation / 761 \\
                 VI.13 Optimal Sensor Location in the Control of
                 Energy-Efficient Buildings / 763 \\
                 VI.14 Robotics / 767 \\
                 VI.15 Slipping, Sliding, Rattling, and Impact:
                 Nonsmooth Dynamics and Its Applications / 769 \\
                 VI.16 From the $N$-Body Problem to Astronomy and Dark
                 Matter / 771 \\
                 VI.17 The $N$-Body Problem and the Fast Multipole
                 Method / 775 \\
                 VI.18 The Traveling Salesman Problem / 778 \\
                 Part VII: Application Areas \\
                 VII.1 Aircraft Noise / 783 \\
                 VII.2 A Hybrid Symbolic--Numeric Approach to Geometry
                 Processing and Modeling / 787 \\
                 VII.3 Computer-Aided Proofs via Interval Analysis / 790
                 \\
                 VII.4 Applications of Max-Plus Algebra / 795 \\
                 VII.5 Evolving Social Networks, Attitudes, and Beliefs
                 --- and Counterterrorism / 800 \\
                 VII.6 Chip Design / 804 \\
                 VII.7 Color Spaces and Digital Imaging / 808 \\
                 VII.8 Mathematical Image Processing / 813 \\
                 VII.9 Medical Imaging / 816 \\
                 VII.10 Compressed Sensing / 823 \\
                 VII.11 Programming Languages: An Applied Mathematics
                 View / 828 \\
                 VII.12 High-Performance Computing / 839 \\
                 VII.13 Visualization / 843 \\
                 VII.14 Electronic Structure Calculations (Solid State
                 Physics) / 847 \\
                 VII.15 Flame Propagation / 852 \\
                 VII.16 Imaging the Earth Using Green's Theorem / 857
                 \\
                 VII.17 Radar Imaging / 860 \\
                 VII.18 Modeling a Pregnancy Testing Kit / 864 \\
                 VII.19 Airport Baggage Screening with X-Ray Tomography
                 / 866 \\
                 VII.20 Mathematical Economics / 868 \\
                 VII.21 Mathematical Neuroscience / 873 \\
                 VII.22 Systems Biology / 879 \\
                 VII.23 Communication Networks / 883 \\
                 VII.24 Text Mining / 887 \\
                 VII.25 Voting Systems / 891 \\
                 Part VIII: Final Perspectives \\
                 VIII.1 Mathematical Writing / 897 \\
                 VIII.2 How to Read and Understand a Paper / 903 \\
                 VIII.3 How to Write a General Interest Mathematics Book
                 / 906 \\
                 VIII.4 Workflow / 912 \\
                 VIII.5 Reproducible Research in the Mathematical
                 Sciences / 916 \\
                 VIII.6 Experimental Applied Mathematics / 925 \\
                 VIII.7 Teaching Applied Mathematics / 933 \\
                 VIII.8 Mediated Mathematics: Representations of
                 Mathematics in Popular Culture and Why These Matter /
                 943 \\
                 VIII.9 Mathematics and Policy / 953 \\
                 Index / 963",
}