%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.15", %%% date = "22 April 2014", %%% time = "07:38:31 MDT", %%% filename = "numana2010.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "48180 2283 10823 111686", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; numerical analysis", %%% license = "public domain", %%% supported = "no", %%% docstring = "This bibliography collects publications %%% in the large field of numerical analysis %%% from books and conference proceedings, but %%% excluding journal articles, which are covered %%% in separate bibliographies in the TeX User %%% Group archive. %%% %%% This file includes publications for the %%% decade 2010--2019. The contents are still %%% very preliminary, and no attempt has yet been %%% made to do subject-specific searches in %%% multiple databases to extend the coverage. %%% %%% However, there was a need to have a %%% subject-specific repository of bibliographic %%% entries in this area that have not otherwise %%% found a home in other bibliographies in the %%% TUG archive, so this file has been created. %%% %%% It may, however, prove desirable later to %%% redistribute the contents of this file into %%% other, more specialized, bibliographies, so %%% there is no commitment on the part of the %%% author to continue to maintain this file, %%% although its contents will not be lost in the %%% event of such a rearrangement. %%% %%% At version 1.15, the year coverage looked %%% like this: %%% %%% 2010 ( 25) 2012 ( 8) 2014 ( 2) %%% 2011 ( 13) 2013 ( 2) %%% %%% Article: 1 %%% Book: 46 %%% Proceedings: 3 %%% %%% Total entries: 50 %%% %%% The initial draft of entries for 2000--2009 %%% was derived from the OCLC Proceedings %%% database, from the MathSciNet database, from %%% the University of California Melvyl catalog, %%% and from the U.S. Library of Congress %%% catalog. %%% %%% In this bibliography, entries are sorted %%% first by ascending year, and within each %%% year, alphabetically by author or editor, %%% and then, if necessary, by the 3-letter %%% abbreviation at the end of the BibTeX %%% citation tag, using the bibsort -byyear %%% utility. Year order has been chosen to %%% make it easier to identify the most recent %%% work. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \k \undefined \let \k = \c \fi" } %%%===================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} %%%===================================================================== %%% Journal abbreviations: @String{j-AMER-MATH-MONTHLY= "American Mathematical Monthly"} %%%===================================================================== %%% Publishers and their addresses: @String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, NY, USA"} @String{pub-BIRKHAUSER-BOSTON= "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr= "Cambridge, MA, USA"} @String{pub-CAMBRIDGE= "Cambridge University Press"} @String{pub-CAMBRIDGE:adr= "Cambridge, UK"} @String{pub-CHAPMAN-HALL-CRC= "Chapman and Hall/CRC"} @String{pub-CHAPMAN-HALL-CRC:adr= "Boca Raton, FL, USA"} @String{pub-CLARENDON= "Clarendon Press"} @String{pub-CLARENDON:adr= "New York, NY, USA"} @String{pub-CRC= "CRC Press"} @String{pub-CRC:adr= "2000 N.W. Corporate Blvd., Boca Raton, FL 33431-9868, USA"} @String{pub-ELSEVIER-ACADEMIC= "Elsevier Academic Press"} @String{pub-ELSEVIER-ACADEMIC:adr= "Amsterdam, The Netherlands"} @String{pub-KNOPF= "Alfred A. Knopf"} @String{pub-KNOPF:adr= "New York, NY, USA"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-PH= "Pren{\-}tice-Hall"} @String{pub-PH:adr= "Upper Saddle River, NJ 07458, USA"} @String{pub-PRINCETON= "Princeton University Press"} @String{pub-PRINCETON:adr= "Princeton, NJ, USA"} @String{pub-SIAM= "Society for Industrial and Applied Mathematics"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SV= "Springer-Verlag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"} @String{pub-WORLD-SCI= "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr= "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"} %%% ==================================================================== %%% Series abbreviations: @String{ser-LNCSE= "Lecture Notes in Computational Science and Engineering"} %%%===================================================================== %%% Bibliography entries: @Book{Ackleh:2010:CMN, editor = "Azmy S. Ackleh and Padmanabhan eshaiyer and Ralph Baker Kearfott and Edward James Allen", title = "Classical and modern numerical analysis: theory, methods and practice", publisher = pub-CRC, address = pub-CRC:adr, pages = "xix + 608", year = "2010", ISBN = "1-4200-9157-3 (hardcover)", ISBN-13 = "978-1-4200-9157-1 (hardcover)", LCCN = "QA297 .C53 2010", bibdate = "Mon Aug 23 11:05:33 MDT 2010", bibsource = "aubrey.tamu.edu:7090/voyager; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", series = "Chapman and Hall/CRC numerical analysis and scientific computing", abstract = "Publisher's note: The book provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis. The text covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, ordinary differential equations, approximation theory, numerical integration, and boundary value problems. Focusing on interval computing in numerical analysis, it explains interval arithmetic, interval computation, and interval algorithms. The authors illustrate the concepts with many examples as well as analytical and computational exercises at the end of each chapter. This advanced, graduate-level introduction to the theory and methods of numerical analysis supplies the necessary background in numerical methods so that students can apply the techniques and understand the mathematical literature in this area.", acknowledgement = ack-nhfb, subject = "numerical analysis; data processing", } @Book{Baumgarte:2010:NRS, author = "Thomas W. Baumgarte and Stuart L. (Stuart Louis) Shapiro", title = "Numerical relativity: solving {Einstein}'s equations on the computer", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xviii + 698", year = "2010", ISBN = "0-521-51407-X", ISBN-13 = "978-0-521-51407-1", LCCN = "QC173.6 .B38 2010", bibdate = "Fri Oct 7 08:35:27 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/einstein.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "General relativity (Physics); Einstein field equations; Numerical calculations", tableofcontents = "General relativity preliminaries \\ The 3 + 1 decomposition of Einstein's equations \\ Constructing initial data \\ Choosing coordinates : the lapse and shift \\ Matter sources \\ Numerical methods \\ Locating black hole horizons \\ Spherically symmetric spacetimes \\ Gravitational waves \\ Collapse of collisionless clusters in axisymmetry \\ Recasting the evolution equations \\ Binary black hole initial data \\ Binary black hole evolution \\ Rotating stars \\ Binary neutron star initial data \\ Binary neutron star evolution \\ Binary black hole-neutron stars : initial data and evolution", } @Book{Bockhorn:2010:MMA, editor = "Henning Bockhorn and Dieter Mewes and Wolfgang Peukert and Hans-Joachim Warnecke", title = "Micro- and macromixing: analysis, simulation and numerical calculation", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 346", year = "2010", DOI = "http://dx.doi.org/10.1007/978-3-642-04549-3", ISBN = "3-642-04549-9, 3-642-04548-0", ISBN-13 = "978-3-642-04549-3, 978-3-642-04548-6", LCCN = "TP156.M5 M537 2010", bibdate = "Mon Aug 23 11:05:53 MDT 2010", bibsource = "aubrey.tamu.edu:7090/voyager; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", series = "Heat and mass transfer", acknowledgement = ack-nhfb, subject = "mixing; equipment and supplies; mathematical models", } @Book{Burden:2010:NA, author = "Richard L. Burden and J. Douglas Faires", title = "Numerical analysis", publisher = "Cengage Learning", address = "Boston, MA, USA", edition = "Nineth", pages = "????", year = "2010", ISBN = "0-538-73351-9", ISBN-13 = "978-0-538-73351-9", LCCN = "????", bibdate = "Mon Aug 23 10:50:14 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, } @Book{Christensen:2010:FSE, author = "Ole Christensen", title = "Functions, spaces, and expansions: mathematical tools in physics and engineering", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "xix + 263", year = "2010", DOI = "http://dx.doi.org/10.1007/978-0-8176-4980-7;", ISBN = "0-8176-4980-8", ISBN-13 = "978-0-8176-4980-7", LCCN = "QA331.7 .C57 2010", bibdate = "Mon Aug 23 11:22:11 2010", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.gbv.de:20011/gvk", series = "Applied and numerical harmonic analysis", acknowledgement = ack-nhfb, subject = "computer science; engineering mathematics; Fourier analysis; functional analysis; functions, special; mathematical physics; mathematics", } @Book{Datta:2010:NLA, author = "Biswa Nath Datta", title = "Numerical linear algebra and applications", publisher = pub-SIAM, address = pub-SIAM:adr, edition = "Second", pages = "xxiv + 530", year = "2010", ISBN = "0-534-17466-3 (paperback)", ISBN-13 = "978-0-534-17466-8 (paperback)", ISBN-13 = "9780898716856", LCCN = "QA184.2", bibdate = "Fri Nov 16 09:09:48 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.gbv.de:20011/gvk", URL = "http://www.gbv.de/dms/ilmenau/toc/603672094.PDF; http://www.loc.gov/catdir/enhancements/fy1001/2009025104-b.html; http://www.loc.gov/catdir/enhancements/fy1001/2009025104-d.html; http://www.loc.gov/catdir/enhancements/fy1001/2009025104-t.html; http://www.zentralblatt-math.org/zmath/en/search/?an=1187.65027", acknowledgement = ack-nhfb, subject = "Algebras, Linear; Numerical analysis", tableofcontents = "Linear algebra problems, their importance and computational difficulties \\ A review of some required concepts \\ Floating point numbers and errors \\ Stability, conditioning, and accuracy \\ Gaussian elimination and lu factorization \\ Numerical solutions of linear systems \\ QR factorization, svd, and projections \\ Least-squares solutions to linear systems \\ Numerical matrix eigenvalue problems \\ Symmetric eigenvalue problem and svd \\ Generalized and quadratic eigenvalue problems \\ Iterative methods : an overview \\ Key terms in numerical linear algebra", } @Book{Etter:2010:IM, author = "Delores M. Etter", title = "Introduction to {MATLAB}", publisher = pub-PH, address = pub-PH:adr, edition = "Second", pages = "????", year = "2010", ISBN = "0-13-608123-1", ISBN-13 = "978-0-13-608123-4", LCCN = "TA345 .E8724 2010", bibdate = "Mon Jan 31 15:09:54 MST 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Engineering mathematics; Data processing; MATLAB; Numerical analysis", } @Book{Golub:2010:MMQ, author = "Gene H. Golub and G{\'e}rard Meurant", title = "Matrices, moments and quadrature with applications", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "xii + 363", year = "2010", ISBN = "0-691-14341-2", ISBN-13 = "978-0-691-14341-5", MRclass = "65-02 (65D30)", MRnumber = "MR2582949", bibdate = "Mon May 17 14:08:36 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", series = "Princeton Series in Applied Mathematics", ZMnumber = "pre05661633", abstract = "This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.", acknowledgement = ack-nhfb, } @Book{Kilmer:2010:GWS, editor = "Misha Elena Kilmer and Dianne P. O'Leary", title = "{G. W. Stewart}: selected works with commentaries", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "xii + 729", year = "2010", DOI = "http://dx.doi.org/10.1007/978-0-8176-4968-5", ISBN = "0-8176-4968-9 (e-book), 0-8176-4967-0", ISBN-13 = "978-0-8176-4968-5 (e-book), 978-0-8176-4967-8", LCCN = "QA39.3 .G87 2010eb", bibdate = "Sun Jun 19 12:38:41 MDT 2011", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", series = "Contemporary mathematicians", URL = "http://public.eblib.com/EBLPublic/PublicView.do?ptiID=64586; http://rave.ohiolink.edu/ebooks/ebc/978081764968; http://site.ebrary.com/id/1042123", abstract = "Published in honor of his 70th birthday, this volume explores and celebrates the work of G. W. (Pete) Stewart, a world-renowned expert in computational linear algebra. This volume includes: forty-four of Stewart's most influential research papers in two subject areas: matrix algorithms, and rounding and perturbation theory; a biography of Stewart; a complete list of his publications, students, and honors; selected photographs; and commentaries on his works in collaboration with leading experts in the field. G. W. Stewart: Selected Works with Commentaries will appeal to graduate students, practitioners, and researchers in computational linear algebra and the history of mathematics.", acknowledgement = ack-nhfb, remark = "Part 1: G. W. Stewart. Part 2: Commentaries. Part 3: Reprints", subject = "Mathematics", tableofcontents = "Foreword \\ Part I. G. W. Stewart \\ Biography of G. W. Stewart \\ Publications, Honors, and Students \\ Part II. Commentaries \\ Introduction to the Commentaries \\ Matrix Decompositions: LINPACK and Beyond \\ Updating and Downdating Matrix Decompositions \\ Least Squares, Projections, and Psuedo-Inverses \\ The Eigenproblem and Invariant Subspaces: Perturbation Theory \\ The SVD, Eigenproblem, and Invariant Subspaces: Algorithms \\ The Generalized Eigenproblem \\ Krylov Subspace Methods for the Eigenproblem \\ Other Contributions \\ References \\ Index \\ Part III. Reprints \\ Papers on Matrix Decompositions \\ Papers on Updating and Downdating Matrix Decompositions \\ Papers on Least Squares, Projections, and Generalized Inverses \\ Papers on the Eigenproblem and Invariant Subspaces: Perturbation Theory \\ Papers on the SVD, Eigenproblem and Invariant Subspaces: Algorithms \\ Papers on the Generalized Eigenproblem \\ Papers on Krylov Subspace Methods for the Eigenproblem", } @Book{King:2010:NSM, author = "Michael R. King and Nipa A. Mody", title = "Numerical and statistical methods for bioengineering: applications in {MATLAB}", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "????", year = "2010", ISBN = "0-521-87158-1", ISBN-13 = "978-0-521-87158-7", LCCN = "R857.M34 K56 2010", bibdate = "Mon Jan 31 15:10:57 MST 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Cambridge texts in biomedical engineering", URL = "http://assets.cambridge.org/97805218/71587/cover/9780521871587.jpg", abstract = "The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course", acknowledgement = ack-nhfb, subject = "Biomedical engineering; Statistical methods; Mathematics; MATLAB", tableofcontents = "1. Types and sources of numerical error \\ 2. Systems of linear equations \\ 3. Statistics and probability \\ 4. Hypothesis testing \\ 5. Root finding techniques for nonlinear equations \\ 6. Numerical quadrature \\ 7. Numerical integration of ordinary differential equations \\ 8. Nonlinear data regression and optimization \\ 9. Basic algorithms of bioinformatics \\ Appendix A. Introduction to MATLAB \\ Appendix B. Location of nodes for Gauss-Legendre quadrature", } @Book{Kiusalaas:2010:NMEa, author = "Jaan Kiusalaas", title = "Numerical methods in engineering with {MATLAB}", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "Second", pages = "x + 431", year = "2010", ISBN = "0-521-19133-5 (hardback)", ISBN-13 = "978-0-521-19133-3 (hardback)", LCCN = "TA345 .K58 2010", bibdate = "Mon Jan 31 15:16:47 MST 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; melvyl.cdlib.org:210/CDL90; z3950.loc.gov:7090/Voyager", abstract = "Numerical Methods in Engineering with MATLAB is a text for engineering students and a reference for practicing engineers. The choice of numerical methods was based on their relevance to engineering problems. Every method is discussed thoroughly and illustrated with problems involving both hand computation and programming. MATLAB M-files accompany each method and are available on the book website. This code is made simple and easy to understand by avoiding complex book-keeping schemes, while maintaining the essential features of the method. MATLAB was chosen as the example language because of its ubiquitous use in engineering studies and practice. This new edition includes the new MATLAB anonymous functions, which allow the programmer to embed functions into the program rather than storing them as separate files. Other changes include the addition of rational function interpolation in Chapter 3, the addition of Ridder's method in place of Brent's method in Chapter 4, and the addition of downhill simplex method in place of the Fletcher-Reeves method of optimization in Chapter 10.", acknowledgement = ack-nhfb, subject = "MATLAB; Engineering mathematics; Data processing; Numerical analysis", tableofcontents = "Introduction to MATLAB \\ Systems of linear algebraic equations \\ Interpolation and curve fitting \\ Roots of equations \\ Numerical differentiation \\ Numerical integration \\ Initial value problems \\ Two-point boundary value problems \\ Symmetric matrix eigenvalue problems \\ Introduction to optimization", } @Book{Kiusalaas:2010:NMEb, author = "Jaan Kiusalaas", title = "Numerical methods in engineering with {Python}", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "Second", pages = "x + 422", year = "2010", ISBN = "0-521-19132-7 (hardcover)", ISBN-13 = "978-0-521-19132-6 (hardcover)", LCCN = "TA345 .K584 2010", bibdate = "Mon Jan 31 15:16:50 MST 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/python.bib; melvyl.cdlib.org:210/CDL90; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Python (computer program language); MATLAB; engineering mathematics; data processing; numerical analysis", } @Book{Kurzak:2010:SCM, editor = "Jakub Kurzak and David A. Bader and J. J. Dongarra", title = "Scientific computing with multicore and accelerators", volume = "10", publisher = pub-CRC, address = pub-CRC:adr, pages = "xxxiii + 480", year = "2010", ISBN = "1-4398-2536-X (hardback)", ISBN-13 = "978-1-4398-2536-5 (hardback)", LCCN = "Q183.9 .S325 2010", bibdate = "Fri Nov 16 06:29:59 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/super.bib; z3950.loc.gov:7090/Voyager", series = "Chapman and Hall/CRC computational science", acknowledgement = ack-nhfb, subject = "Science; Data processing; Engineering; High performance computing; Multiprocessors; MATHEMATICS / General; MATHEMATICS / Advanced; MATHEMATICS / Number Systems", } @Book{Lange:2010:NAS, author = "Kenneth Lange", title = "Numerical analysis for statisticians", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xvi + 604", year = "2010", DOI = "http://dx.doi.org/10.1007/978-1-4419-5945-4", ISBN = "1-4419-5944-0 (hardcover)", ISBN-13 = "978-1-4419-5944-7 (hardcover)", LCCN = "QA297 .L34 2010", bibdate = "Mon Aug 23 10:50:36 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Statistics and Computing", acknowledgement = ack-nhfb, subject = "mathematical statistics; statistics", } @Book{Magoules:2010:FGC, editor = "F. (Fr{\'e}d{\'e}ric) Magoul{\`e}s", title = "Fundamentals of grid computing: theory, algorithms and technologies", publisher = pub-CRC, address = pub-CRC:adr, pages = "xxi + 298", year = "2010", ISBN = "1-4398-0367-6 (hardcover)", ISBN-13 = "978-1-4398-0367-7 (hardcover)", LCCN = "QA76.9.C58 F86 2010", bibdate = "Mon Aug 23 11:06:01 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Chapman and Hall/CRC numerical analysis and scientific computing", acknowledgement = ack-nhfb, subject = "computational grids (computer systems)", } @Book{Moin:2010:FEN, author = "Parviz Moin", title = "Fundamentals of engineering numerical analysis", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "Second", pages = "????", year = "2010", ISBN = "0-521-88432-2 (hardcover)", ISBN-13 = "978-0-521-88432-7 (hardcover)", LCCN = "TA335 .M65 2010", bibdate = "Mon Aug 23 10:50:59 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", abstract = "Publisher's note: Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyze, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.", acknowledgement = ack-nhfb, subject = "engineering mathematics; numerical analysis", tableofcontents = "1. Interpolation \\ 2. Numerical differentiation - finite differences \\ 3. Numerical integration \\ 4. Numerical solution of ordinary differential equations \\ 5. Numerical solution of partial differential equations \\ 6. Discrete transform methods \\ Appendix. A review of linear algebra", } @Book{Oberkampf:2010:VVS, author = "William L. Oberkampf and Christopher J. Roy", title = "Verification and validation in scientific computing", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "????", year = "2010", ISBN = "0-521-11360-1", ISBN-13 = "978-0-521-11360-1", LCCN = "Q183.9 .O24 2010", bibdate = "Tue Apr 26 08:20:49 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", URL = "http://assets.cambridge.org/97805211/13601/cover/9780521113601.jpg", abstract = "Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study", acknowledgement = ack-nhfb, remark = "Exchanges between the book's authors and members of the reliable\_computing mailing list in early May 2011 discuss the extent to which this book is, or is not, about interval arithmetic.", subject = "Science \\ Data processing \\ Numerical calculations \\ Verification \\ Computer programs \\ Validation \\ Decision making \\ Mathematical models", tableofcontents = "Preface \\ 1. Introduction \\ Part I. Fundamental Concepts: \\ 2. Fundamental concepts and terminology \\ 3. Modeling and computational simulation \\ Part II. Code Verification: \\ 4. Software engineering \\ 5. Code verification \\ 6. Exact solutions \\ Part III. Solution Verification: \\ 7. Solution verification \\ 8. Discretization error \\ 9. Solution adaptation \\ Part IV. Model Validation and Prediction: \\ 10. Model validation fundamentals \\ 11. Design and execution of validation experiments \\ 12. Model accuracy assessment \\ 13. Predictive capability \\ Part V. Planning, Management, and Implementation Issues: \\ 14. Planning and prioritization in modeling and simulation \\ 15. Maturity assessment of modeling and simulation \\ 16. Development and responsibilities for verification, validation and uncertainty quantification \\ Appendix. Programming practices \\ Index", } @Book{Onate:2010:SAF, author = "Eugenio O{\~n}ate", title = "Structural analysis with the finite element method: linear statistics", publisher = pub-SV, address = pub-SV:adr, pages = "xxiv + 472", year = "2010", DOI = "http://dx.doi.org/10.1007/978-1-4020-8733-2", ISBN = "1-4020-8733-0", ISBN-13 = "978-1-4020-8733-2", LCCN = "TA347.F5 O63 2009", bibdate = "Mon Aug 23 11:24:08 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib", series = "Lecture notes on numerical methods in engineering and sciences.", acknowledgement = ack-nhfb, remark = "Volume 1: The basis and solids. Volume 2: Beams, plates and shells", subject = "Finite element method; Structural analysis (Engineering)", } @Book{Quarteroni:2010:SCM, author = "Alfio M. Quarteroni", title = "Scientific computing with {Matlab} and {Octave}", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "2010", ISBN = "3-642-12429-1", ISBN-13 = "978-3-642-12429-7", LCCN = "????", bibdate = "Mon Jan 31 15:13:46 MST 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, } @Book{Trappenberg:2010:FCN, author = "Thomas P. Trappenberg", title = "Fundamentals of computational neuroscience", publisher = pub-OXFORD, address = pub-OXFORD:adr, edition = "Second", pages = "xxv + 390", year = "2010", ISBN = "0-19-956841-3 (paperback)", ISBN-13 = "978-0-19-956841-3 (paperback)", LCCN = "QP357.5 .T746 2010", bibdate = "Mon Jan 31 15:17:33 MST 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; melvyl.cdlib.org:210/CDL90; z3950.loc.gov:7090/Voyager", abstract = "Computational neuroscience is the theoretical study of the brain to uncover the principles and mechanisms that guide the development, organization, information processing, and mental functions of the nervous system. Although not a new area, it is only recently that enough knowledge has been gathered to establish computational neuroscience as a scientific discipline in its own right. Given the complexity of the field, and its increasing importance in progressing our understanding of how the brain works, there has long been a need for an introductory text on what is often assumed to be an impenetrable topic. The new edition of Fundamentals of Computational Neuroscience build on the success and strengths of the first edition. It introduces the theoretical foundations of neuroscience with a focus on the nature of information processing in the brain. The book covers the introduction and motivation of simplified models of neurons that are suitable for exploring information processing in large brain-like networks. Additionally, it introduces several fundamental network architectures and discusses their relevance for information processing in the brain, giving some examples of models of higher-order cognitive functions to demonstrate the advanced insight that can be gained with such studies. Each chapter starts by introducing its topic with experimental facts and conceptual questions related to the study of brain function. An additional feature is the inclusion of simple Matlab programs that can be used to explore many of the mechanisms explained in the book. An accompanying webpage includes programs for download. The book is aimed at those within the brain and cognitive sciences, from graduate level and upwards.", acknowledgement = ack-nhfb, subject = "Computational neuroscience; Neurons; physiology; Brain; Computational Biology; methods; Models, Neurological; Nerve Net; Neurosciences", tableofcontents = "Introduction \\ Basic Nuerons \\ Neurons and conductance-based models \\ Simplified neuron and population models \\ Associators and synaptic plasticity \\ Basic Networks \\ Cortical organizations and simple networks \\ Feed-forward mapping networks \\ Cortical feature maps and competitive population coding \\ Recurrent associative networks and episodic memory \\ System-Level Models \\ Modular networks, motor control, and reinforcement learning \\ The cognitive brain \\ Some useful mathematics \\ Numerical calculus \\ Basic probability theory \\ Basic information theory \\ A brief introduction to MATLAB", } @Book{VanLoan:2010:ITC, author = "Charles F. {Van Loan} and K.-Y. Daisy Fan", title = "Insight through computing: a {MATLAB} introduction to computational science and engineering", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xviii + 434", year = "2010", ISBN = "0-89871-691-8", ISBN-13 = "978-0-89871-691-7", LCCN = "QA297 .V25 2010", bibdate = "Fri Nov 16 10:03:00 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/java2010.bib; http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy1007/2009030277-b.html; http://www.loc.gov/catdir/enhancements/fy1007/2009030277-d.html; http://www.loc.gov/catdir/enhancements/fy1007/2009030277-t.html", acknowledgement = ack-nhfb, subject = "Numerical analysis; Data processing; Science; Computer simulation; Engineering mathematics; MATLAB", tableofcontents = "Preface \\ MATLAB glossary \\ Programming topics \\ Software \\ 1. From formula to program \\ 2. Limits and error \\ 3. Approximation with fractions \\ 4. The discrete versus the continuous \\ 5. Abstraction \\ 6. Randomness \\ 7. The second dimension \\ 8. Reordering \\ 9. Search \\ 10. Points, polygons and circles \\ 11. Text file processing \\ 12. The matrix: part II \\ 13. Acoustic file processing \\ 14. Divide and conquer \\ 15. Optimization \\ Appendix A. Refined graphics \\ Appendix B. Mathematical facts \\ Appendix C. MATLAB, Java, and C \\ Appendix D. Exit interview \\ Index", } @Book{Watkins:2010:FMC, author = "David S. Watkins", title = "Fundamentals of Matrix Computations", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Third", pages = "xvi + 644", year = "2010", ISBN = "0-470-52833-8 (cloth)", ISBN-13 = "978-0-470-52833-4 (cloth)", LCCN = "QA188 .W38 2010", bibdate = "Mon May 30 10:22:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Pure and applied mathematics", acknowledgement = ack-nhfb, subject = "Matrices", } @Book{Ascher:2011:FCN, author = "Uri M. Ascher and Chen Greif", title = "A first course in numerical methods", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "????", year = "2011", ISBN = "0-89871-997-6", ISBN-13 = "978-0-89871-997-0", LCCN = "QA297", bibdate = "Fri Nov 16 08:47:09 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.gbv.de:20011/gvk", series = "Computational science and engineering series", URL = "http://catdir.loc.gov/catdir/enhancements/fy1111/2011007041-b.html; http://catdir.loc.gov/catdir/enhancements/fy1111/2011007041-d.html; http://catdir.loc.gov/catdir/enhancements/fy1111/2011007041-t.html; http://www.loc.gov/catdir/enhancements/fy1111/2011007041-b.html; http://www.loc.gov/catdir/enhancements/fy1111/2011007041-d.html; http://www.loc.gov/catdir/enhancements/fy1111/2011007041-t.html", acknowledgement = ack-nhfb, subject = "Numerical calculations; Data processing; Numerical analysis; Algorithms", tableofcontents = "Numerical algorithms \\ Roundoff errors \\ Nonlinear equations in one variable \\ Linear algebra background \\ Linear systems : direct methods \\ Linear least squares problems \\ Linear systems : iterative methods \\ Eigenvalues and singular values \\ Nonlinear systems and optimization \\ Polynomial interpolation \\ Piecewise polynomial interpolation \\ Best approximation \\ Fourier transform \\ Numerical differentiation \\ Numerical integration \\ Differential equations", } @Book{Bailey:2011:PTS, editor = "David H. Bailey and Robert F. Lucas and Samuel Watkins Williams", title = "Performance tuning of scientific applications", volume = "11", publisher = pub-CRC, address = pub-CRC:adr, pages = "????", year = "2011", ISBN = "1-4398-1569-0 (hardback)", ISBN-13 = "978-1-4398-1569-4 (hardback)", LCCN = "Q183.9 .P47 2011", bibdate = "Thu Nov 15 17:15:34 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/super.bib; z3950.loc.gov:7090/Voyager", series = "Chapman and Hall/CRC computational science", abstract = "This book presents an overview of recent research and applications in computer system performance for scientific and high performance computing. After a brief introduction to the field of scientific computer performance, the text provides comprehensive coverage of performance measurement and tools, performance modeling, and automatic performance tuning. It also includes performance tools and techniques for real-world scientific applications. Various chapters address such topics as performance benchmarks, hardware performance counters, the PMaC modeling system, source code-based performance modeling, climate modeling codes, automatic tuning with ATLAS, and much more.", acknowledgement = ack-nhfb, subject = "Science; Data processing; Evaluation; Electronic digital computers; System design; Computer programs; COMPUTERS / Computer Engineering; MATHEMATICS / Advanced; MATHEMATICS / Number Systems", } @Book{Davis:2011:MP, author = "Timothy A. Davis", title = "{MATLAB} primer", publisher = pub-CRC, address = pub-CRC:adr, edition = "Eighth", pages = "xvi + 232", year = "2011", ISBN = "1-4398-2862-8", ISBN-13 = "978-1-4398-2862-5", LCCN = "QA297 .D38 2011", bibdate = "Mon Jan 31 14:24:46 MST 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "MATLAB; Numerical analysis; Data processing", } @Book{Fiedler:2011:MGG, author = "Miroslav Fiedler", title = "Matrices and Graphs in Geometry", volume = "139", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "viii + 197", year = "2011", ISBN = "0-521-46193-6", ISBN-13 = "978-0-521-46193-1", LCCN = "QA447 .F45 2011", bibdate = "Tue Feb 7 16:22:53 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/linala2010.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Encyclopedia of Mathematics and its Applications", URL = "http://assets.cambridge.org/97805214/61931/cover/9780521461931.jpg; http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-b.html; http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-d.html; http://catdir.loc.gov/catdir/enhancements/fy1101/2010046601-t.html", abstract = "Simplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications usually involve solving huge systems of linear equations or eigenvalue problems, and geometry can help in visualizing the behaviour of the problem. In many cases, solving such systems may depend more on the distribution of non-zero coefficients than on their values, so graph theory is also useful. The author has discovered a method that in many (symmetric) cases helps to split huge systems into smaller parts. Many readers will welcome this book, from undergraduates to specialists in mathematics, as well as non-specialists who only use mathematics occasionally, and anyone who enjoys geometric theorems. It acquaints the reader with basic matrix theory, graph theory and elementary Euclidean geometry so that they too can appreciate the underlying connections between these various areas of mathematics and computer science.\par This book comprises, in addition to auxiliary material, the research on which I have worked for the past more than 50 years. Some of the results appear here for the first time. The impetus for writing the book came from the late Victor Klee, after my talk in Minneapolis in 1991. The main subject is simplex geometry, a topic which fascinated me from my student times, caused, in fact, by the richness of triangle and tetrahedron geometry on one side and matrix theory on the other side. A large part of the content is concerned with qualitative properties of a simplex. This can be understood as studying not just relations of equalities but also inequalities. It seems that this direction is starting to have important consequences in practical (and important) applications, such as finite element methods.", acknowledgement = ack-nhfb, subject = "Geometry; Matrices; Graphic methods", tableofcontents = "Matricial approach to Euclidean geometry \\ Simplex geometry \\ Qualitative properties of the angles in a simplex --- Special simplexes \\ Further geometric objects \\ Applications", } @Book{Johnson:2011:EMS, author = "Richard K. Johnson", title = "The elements of {MATLAB} style", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "????", year = "2011", ISBN = "0-521-73258-1", ISBN-13 = "978-0-521-73258-1", LCCN = "QA76.73.M296 J64 2011", bibdate = "Mon Jan 31 14:25:07 MST 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", abstract = "A guide for MATLAB programmers that offers a collection of standards and guidelines for creating MATLAB code that will be easy to understand, enhance, and maintain. Avoid doing things that would be an unpleasant surprise to other software developers. The interfaces and the behavior exhibited by your software must be predictable and consistent. If they are not, the documentation must clearly identify and justify any unusual instances of use or behavior.", acknowledgement = ack-nhfb, subject = "MATLAB; Computer programming; Computer software; Quality control; Numerical analysis; Data processing", tableofcontents = "1. General principles \\ 2. Formatting \\ 3. Naming \\ 4. Documentation \\ 5. Programming \\ 6. Files and organization \\ 7. Development", } @Book{Kepner:2011:GAL, author = "Jeremy V. Kepner and J. R. (John R.) Gilbert", title = "Graph algorithms in the language of linear algebra", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xxvii + 361", year = "2011", ISBN = "0-89871-990-9 (hardcover)", ISBN-13 = "978-0-89871-990-1 (hardcover)", LCCN = "QA166.245 .K47 2011", bibdate = "Fri Nov 16 09:38:48 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Software, environments, and tools", URL = "http://www.loc.gov/catdir/enhancements/fy1113/2011003774-b.html; http://www.loc.gov/catdir/enhancements/fy1113/2011003774-d.html; http://www.loc.gov/catdir/enhancements/fy1113/2011003774-t.html", acknowledgement = ack-nhfb, subject = "Graph algorithms; Algebras, Linear", } @Book{Naumann:2011:ADC, author = "Uwe Naumann", title = "The art of differentiating computer programs: an introduction to algorithmic differentiation", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xviii + 340", year = "2011", ISBN = "1-61197-206-X", ISBN-13 = "978-1-61197-206-1", LCCN = "QA76.76.A98 N38 2011", bibdate = "Fri Nov 16 09:54:38 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Software, environments, and tools", URL = "http://www.loc.gov/catdir/enhancements/fy1201/2011032262-b.html; http://www.loc.gov/catdir/enhancements/fy1201/2011032262-d.html; http://www.loc.gov/catdir/enhancements/fy1201/2011032262-t.html", acknowledgement = ack-nhfb, subject = "Computer programs; Automatic differentiations; Sensitivity theory (Mathematics)", } @Book{Razavy:2011:HQM, author = "Mohsen Razavy", title = "{Heisenberg}'s quantum mechanics", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xix + 657", year = "2011", ISBN = "981-4304-11-5 (paperback), 981-4304-10-7", ISBN-13 = "978-981-4304-11-5 (paperback), 978-981-4304-10-8", LCCN = "QC174.12 .R39 2011", bibdate = "Mon Nov 28 08:38:47 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; http://www.math.utah.edu/pub/tex/bib/einstein.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.gbv.de:20011/gvk", abstract = "This book provides a detailed account of quantum theory with a much greater emphasis on the Heisenberg equations of motion and the matrix method. The book features a deeper treatment of the fundamental concepts such as the rules of constructing quantum mechanical operators and the classical-quantal correspondence; the exact and approximate methods based on the Heisenberg equations; the determinantal approach to the scattering theory and the LSZ reduction formalism where the latter method is used to obtain the transition matrix. The uncertainty relations for a number of different observables are derived and discussed. A comprehensive chapter on the quantization of systems with nonlocalized interaction is included. Exact solvable models, and approximate techniques for solution of realistic many-body problems are also considered. The book takes a unified look in the final chapter, examining the question of measurement in quantum theory, with an introduction to the Bell's inequalities.", acknowledgement = ack-nhfb, tableofcontents = "1.1: The Lagrangian and the Hamilton Principle \\ 1.2: Noether's Theorem \\ 1.3: The Hamiltonian Formulation \\ 1.4: Canonical Transformation \\ 1.5: Action-Angle Variables \\ 1.6: Poisson Brackets \\ 1.7: Time Development of Dynamical Variables and Poisson Brackets \\ 1.8: Infinitesimal Canonical Transformation \\ 1.9: Action Principle with Variable End Points \\ 1.10: Symmetry and Degeneracy in Classical Dynamics \\ 1.11: Closed Orbits and Accidental Degeneracy \\ 1.12: Time-Dependent Exact Invariants \\ 2.1: Equivalence of Wave and Matrix Mechanics \\ 3.1: Vectors and Vector Spaces \\ 3.2: Special Types of Operators \\ 3.3: Vector Calculus for the Operators \\ 3.4: Construction of Hermitian and Self-Adjoint Operators \\ 3.5: Symmetrization Rule \\ 3.6: Weyl's Rule \\ 3.7: Dirac's Rule \\ 3.8: Von Neumann's Rules \\ 3.9: Self-Adjoint Operators \\ 3.10: Momentum Operator in a Curvilinear Coordinates \\ 3.11: Summation Over Normal Modes \\ 4.1: The Uncertainty Principle \\ 4.2: Application of the Uncertainty Principle for Calculating Bound State Energies \\ 4.3: Time-Energy Uncertainty Relation \\ 4.4: Uncertainty Relations for Angular Momentum-Angle Variables \\ 4.5: Local Heisenberg Inequalities \\ 4.6: The Correspondence Principle \\ 4.7: Determination of the State of a System \\ 5.1: Schwinger's Action Principle and Heisenberg's equations of Motion \\ 5.2: Nonuniqueness of the Commutation Relations \\ 5.3: First Integrals of Motion \\ 6.1: Galilean Invariance \\ 6.2: Wave Equation and the Galilean Transformation \\ 6.3: Decay Problem in Nonrelativistic Quantum Mechanics and Mass Superselection Rule \\ 6.4: Time-Reversal Invariance \\ 6.5: Parity of a State \\ 6.6: Permutation Symmetry \\ 6.7: Lattice Translation \\ 6.8: Classical and Quantum Integrability \\ 6.9: Classical and Quantum Mechanical Degeneracies \\ 7.1: Klein's Method \\ 7.2: The Anharmonic Oscillator \\ 7.3: The Double-Well Potential \\ 7.4: Chasman's Method \\ 7.5: Heisenberg's Equations of Motion for Impulsive Forces \\ 7.6: Motion of a Wave Packet \\ 7.7: Heisenberg's and Newton's Equations of Motion \\ 8.1: Energy Spectrum of the Two-Dimensional Harmonic Oscillator \\ 8.2: Exactly Solvable Potentials Obtained from Heisenberg's Equation \\ 8.3: Creation and Annihilation Operators \\ 8.4: Determination of the Eigenvalues by Factorization Method \\ 8.5: A General Method for Factorization \\ 8.6: Supersymmetry and Superpotential \\ 8.7: Shape Invariant Potentials \\ 8.8: Solvable Examples of Periodic Potentials \\ 9.1: The Angular Momentum Operator \\ 9.2: Determination of the Angular Momentum Eigenvalues \\ 9.3: Matrix Elements of Scalars and Vectors and the Selection Rules \\ 9.4: Spin Angular Momentum \\ 9.5: Angular Momentum Eigenvalues Determined from the Eigenvalues of Two Uncoupled Oscillators \\ 9.6: Rotations in Coordinate Space and in Spin Space \\ 9.7: Motion of a Particle Inside a Sphere \\ Almost Degenerate Perturbation Theory \\ 9.8: The Hydrogen Atom \\ 9.9: Calculation of the Energy Eigenvalues Using the Runge[-]Lenz Vector \\ 9.10: Classical Limit of Hydrogen Atom \\ 9.11: Self-Adjoint Ladder Operator \\ 9.12: Self-Adjoint Ladder Operator tiff Angular Momentum \\ 9.13: Generalized Spin Operators \\ 9.14: The Ladder Operator \\ 10.1: Discrete-Time Formulation of the Heisenberg's Equations of Motion \\ 10.2: Quantum Tunneling Using Discrete-Time Formulation \\ 10.3: Determination of Eigenvalues from Finite-Difference Equations \\ 10.4: Systems with Several Degrees of Freedom \\ 10.5: Weyl-Ordered Polynomials and Bender[-]Dunne Algebra \\ 10.6: Integration of the Operator Differential Equations \\ 10.7: Iterative Solution for Polynomial Potentials \\ 10.8: Another Numerical Method for the Integration of the Equations of Motion \\ 10.9: Motion of a Wave Packet \\ 11.1: Perturbation Theory Applied to the Problem of a Quartic Oscillator \\ 11.2: Degenerate Perturbation Theory \\ 11.3: Almost Degenerate Perturbation Theory \\ 11.4: van der Waals Interaction \\ 11.5: Time-Dependent Perturbation Theory \\ 11.6: The Adiabatic Approximation \\ 11.7: Transition Probability to the First Order \\ 12.1: WKB Approximation for Bound States \\ 12.2: Approximate Determination of the Eigenvalues for Nonpolynomial Potentials \\ 12.3: Generalization of the Semiclassical Approximation to Systems with N Degrees of Freedom \\ 12.4: A Variational Method Based on Heisenberg's Equation of Motion \\ 12.5: Raleigh[-]Ritz Variational Principle \\ 12.6: Tight-Binding Approximation \\ 12.7: Heisenberg's Correspondence Principle \\ 12.8: Bohr and Heisenberg Correspondence and the Frequencies and Intensities of the Emitted Radiation \\ 13.1: Equations of Motion of Finite Order \\ 13.2: Equation of Motion of Infinite Order \\ 13.3: Classical Expression for the Energy \\ 13.4: Energy Eigenvalues when the Equation of Motion is of Infinite Order \\ 14.1: Determinantal Method in Potential Scattering 14.2: Two Solvable Problems \\ 14.3: Time-Dependent Scattering Theory \\ 14.4: The Scattering Matrix \\ 14.5: The Lippmann[-]Schwinger Equation \\ 14.6: Analytical Properties of the Radial Wave Function \\ 14.7: The Jost Function \\ 14.8: Zeros of the Jost Function and Bound Sates \\ 14.9: Dispersion Relation \\ 14.10: Central Local Potentials having Identical Phase Shifts and Bound States \\ 14.11: The Levinson Theorem \\ 14.12: Number of Bound States for a Given Partial Wave \\ 14.13: Analyticity of the S-Matrix and the Principle of Casuality \\ 14.14: Resonance Scattering \\ 14.15: The Born Series \\ 14.16: Impact Parameter Representation of the Scattering Amplitude \\ 14.17: Determination of the Impact Parameter Phase Shift from the Differential Cross Section \\ 14.18: Elastic Scattering of Identical Particles \\ 14.19: Transition Probability \\ 14.20: Transition Probabilities for Forced Harmonic Oscillator \\ 15.1: Diffraction in Time \\ 15.2: High Energy Scattering from an Absorptive Target \\ 16.1: The Aharonov--Bohm Effect \\ 16.2: Time-Dependent Interaction \\ 16.3: Harmonic Oscillator with Time-Dependent Frequency \\ 16.4: Heisenberg's Equations for Harmonic Oscillator with Time-Dependent Frequency \\ 16.5: Neutron Interferometry \\ 16.6: Gravity-Induced Quantum Interference \\ 16.7: Quantum Beats in Waveguides with Time-Dependent Boundaries \\ 16.8: Spin Magnetic Moment \\ 16.9: Stern--Gerlach Experiment \\ 16.10: Precession of Spin Magnetic Moment in a Constant Magnetic Field \\ 16.11: Spin Resonance \\ 16.12: A Simple Model of Atomic Clock \\ 16.13: Berry's Phase \\ 17.1: Ground State of Two-Electron Atom \\ 17.2: Hartree and Hartree-Fock Approximations \\ 17.3: Second Quantization \\ 17.4: Second-Quantized Formulation of the Many-Boson Problem \\ 17.5: Many-Fermion Problem \\ 17.6: Pair Correlations Between Fermions \\ 17.7: Uncertainty Relations for a Many-Fermion System \\ 17.8: Pair Correlation Function for Noninteracting Bosons \\ 17.9: Bogoliubov Transformation for a Many-Boson System \\ 17.10: Scattering of Two Quasi-Particles \\ 17.11: Bogoliubov Transformation for Fermions Interacting through Pairing Forces \\ 17.12: Damped Harmonic Oscillator \\ 18.1: Coherent State of the Radiation Field \\ 18.2: Casimir Force \\ 18.3: Casimir Force Between Parallel Conductors \\ 18.4: Casimir Force in a Cavity with Conducting Walls \\ 19.1: Theory of Natural Line Width \\ 19.2: The Lamb Shift \\ 19.3: Heisenberg's Equations for Interaction of an Atom with Radiation \\ 20.1: EPR Experiment with Particles \\ 20.2: Classical and Quantum Mechanical Operational Concepts of Measurement \\ 20.3: Collapse of the Wave Function \\ 20.4: Quantum versus Classical Correlations", } @Book{Stenger:2011:HSN, author = "Frank Stenger", title = "Handbook of Sinc Numerical Methods", publisher = pub-CRC, address = pub-CRC:adr, pages = "xx + 463", year = "2011", ISBN = "1-4398-2158-5 (hardback), 1-4398-2159-3 (e-book)", ISBN-13 = "978-1-4398-2158-9 (hardback), 978-1-4398-2159-6 (e-book)", LCCN = "QA372 .S8195 2010", bibdate = "Mon Apr 21 17:35:42 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Chapman and Hall/CRC numerical analysis and scientific computation series", URL = "http://www.crcpress.com/product/isbn/9781439821589", ZMnumber = "Zbl 1208.65143", abstract = "This handbook is essential for solving numerical problems in mathematics, computer science, and engineering. The methods presented are similar to finite elements but more adept at solving analytic problems with singularities over irregularly shaped yet analytically described regions. The author makes sinc methods accessible to potential users by limiting details as to how or why these methods work. From calculus to partial differential and integral equations, the book can be used to approximate almost every type of operation. It includes more than 470 MATLAB programs, along with a CD-ROM containing these programs for ease of use", acknowledgement = ack-nhfb, subject = "Galerkin methods; Differential equations; Numerical solutions; mathematics / applied; mathematics / differential equations; mathematics / number systems", tableofcontents = "One-Dimensional Sinc Theory \\ Introduction and Summary \\ Sampling over the Real Line \\ More General Sinc Approximation on $R$ \\ Sinc, Wavelets, Trigonometric and Algebraic Polynomials and Quadratures \\ Sinc Methods on $\Gamma$ \\ Rational Approximation at Sinc Points \\ Polynomial Methods at Sinc Points \\ \\ Sinc Convolution-BIE Methods for PDE and IE \\ Introduction and Summary \\ Some Properties of Green's Functions \\ Free-Space Green's Functions for PDE \\ Laplace Transforms of Green's Functions \\ Multi-Dimensional Convolution Based on Sinc \\ Theory of Separation of Variables \\ \\ Explicit 1-d Program Solutions via Sinc-Pack \\ Introduction and Summary \\ Sinc Interpolation \\ Approximation of Derivatives \\ Sinc Quadrature \\ Sinc Indefinite Integration \\ Sinc Indefinite Convolution \\ Laplace Transform Inversion \\ Hilbert and Cauchy Transforms \\ Sinc Solution of ODE \\ Wavelet Examples \\ \\ Explicit Program Solutions of PDE via Sinc-Pack \\ Introduction and Summary \\ Elliptic PDE \\ Hyperbolic PDE \\ Parabolic PDE \\ Performance Comparisons \\ \\ Directory of Programs \\ Wavelet Formulas \\ One Dimensional Sinc Programs \\ Multi-Dimensional Laplace Transform Programs \\ \\ Bibliography \\ \\ Index", } @Book{Tucker:2011:VNS, author = "Warwick Tucker", title = "Validated numerics: a short introduction to rigorous computations", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "????", year = "2011", ISBN = "0-691-14781-7 (hardcover)", ISBN-13 = "978-0-691-14781-9 (hardcover)", LCCN = "QA76.95 .T83 2011", bibdate = "Mon May 16 19:10:17 MDT 2011", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", acknowledgement = ack-nhfb, subject = "Numerical calculations; Verification; Science; Data processing", } @Article{Watkins:2011:FA, author = "David S. Watkins", title = "{Francis}'s Algorithm", journal = j-AMER-MATH-MONTHLY, volume = "118", number = "5", pages = "387--403", month = may, year = "2011", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Thu May 26 16:28:05 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib", URL = "http://www.jstor.org/stable/info/10.4169/amer.math.monthly.118.05.387", abstract = "John Francis's implicitly shifted QR algorithm turned the problem of matrix eigenvalue computation from difficult to routine almost overnight about fifty years ago. It was named one of the top ten algorithms of the twentieth century by Dongarra and Sullivan, and it deserves to be more widely known and understood by the general mathematical community. This article provides an efficient introduction to Francis's algorithm that follows a novel path. Efficiency is gained by omitting the traditional but wholly unnecessary detour through the basic QR algorithm. A brief history of the algorithm is also included. It was not a one-man show; some other important names are Rutishauser, Wilkinson, and Kublanovskaya. Francis was never a specialist in matrix computations. He was employed in the early computer industry, spent some time on the problem of eigenvalue computation and did amazing work, and then moved on to other things. He never looked back, and he remained unaware of the huge impact of his work until many years later.", acknowledgement = ack-nhfb, } @Book{Altman:2012:USM, author = "Yair M. Altman", title = "Undocumented secrets of {MATLAB--Java} programming", publisher = pub-CRC, address = pub-CRC:adr, pages = "xxi + 663 + 16", year = "2012", ISBN = "1-4398-6904-9 (electronic bk.), 1-4398-6903-0 (hardback), 1-4398-6903-0", ISBN-13 = "978-1-4398-6904-8 (electronic bk.), 978-1-4398-6903-1 (hardback), 978-1-4398-6903-1", LCCN = "QA297 .A544 2012", bibdate = "Fri Nov 16 08:10:20 MST 2012", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", acknowledgement = ack-nhfb, subject = "MATLAB; Numerical analysis; Data processing; Java (Computer program language); COMPUTERS / Programming / Algorithms; COMPUTERS / Computer Engineering; MATHEMATICS / Number Systems. MATHEMATICS / Numerical Analysis", tableofcontents = "1. : Introduction to Java in MATLAB \\ 2. : Using non-GUI Java libraries in MATLAB \\ 3. : Rich GUI using Java Swing \\ 4. : Uitools \\ 5. : Built-in MATLAB widgets and Java classes \\ 6. : Customizing MATLAB controls \\ 7. : The Java frame \\ 8. : The MATLAB desktop \\ 9. : Using MATLAB from within Java \\ 10. : Putting it all together \\ Appendix A. : What Is Java? \\ Appendix B. : UDD \\ Appendix C. : Open questions", } @Book{Attaway:2012:MPI, author = "Stormy Attaway", title = "{MATLAB}: a practical introduction to programming and problem solving", publisher = "Butterworth-Heinemann", address = "Waltham, MA, USA", edition = "Second", pages = "xx + 518", year = "2012", ISBN = "0-12-385081-9", ISBN-13 = "978-0-12-385081-2", LCCN = "QA297 .A87 2012", bibdate = "Thu May 3 08:07:25 MDT 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Numerical analysis; Data processing; MATLAB; Computer programming", } @Proceedings{Blowey:2012:FNA, editor = "James Blowey and Max Jensen", booktitle = "{Frontiers in Numerical Analysis --- Durham 2010}", title = "{Frontiers in Numerical Analysis --- Durham 2010}", volume = "85", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 282", year = "2012", CODEN = "LNCSA6", DOI = "http://dx.doi.org/10.1007/978-3-642-23914-4", ISBN = "3-642-23913-7 (print), 3-642-23914-5 (e-book)", ISBN-13 = "978-3-642-23913-7 (print), 978-3-642-23914-4 (e-book)", ISSN = "1439-7358", ISSN-L = "1439-7358", LCCN = "????", bibdate = "Thu Dec 20 14:35:54 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/lncse.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", note = "Proceedings of the Twelfth LMS--EPSRC Summer School in Computational Mathematics and Scientific Computation held at the University of Durham, UK, 25--31 July 2010.", series = ser-LNCSE, URL = "http://link.springer.com/book/10.1007/978-3-642-23914-4; http://www.springerlink.com/content/978-3-642-23914-4", acknowledgement = ack-nhfb, bookpages = "xi + 282", series-URL = "http://link.springer.com/bookseries/3527", } @Proceedings{Graham:2012:NAM, editor = "Ivan G. Graham and Thomas Y. Hou and Omar Lakkis and Robert Scheichl", booktitle = "Numerical Analysis of Multiscale Problems", title = "Numerical Analysis of Multiscale Problems", volume = "83", publisher = pub-SV, address = pub-SV:adr, pages = "vii + 363", year = "2012", CODEN = "LNCSA6", DOI = "http://dx.doi.org/10.1007/978-3-642-22061-6", ISBN = "3-642-22060-6 (print), 3-642-22061-4 (e-book)", ISBN-13 = "978-3-642-22060-9 (print), 978-3-642-22061-6 (e-book)", ISSN = "1439-7358", ISSN-L = "1439-7358", LCCN = "QA297 .N844 2012", bibdate = "Thu Dec 20 14:35:50 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/lncse.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", note = "Ten invited expository articles from the 91st LMS Durham Symposium on {\em Numerical Analysis of Multiscale Problems}, Durham, UK, 5--15 July 2010.", series = ser-LNCSE, URL = "http://link.springer.com/book/10.1007/978-3-642-22061-6; http://www.springerlink.com/content/978-3-642-22061-6", acknowledgement = ack-nhfb, bookpages = "vii + 363", series-URL = "http://link.springer.com/bookseries/3527", } @Book{Griffiths:2012:TWA, author = "Graham W. Griffiths and W. E. Schiesser", title = "Traveling wave analysis of partial differential equations: numerical and analytical methods with {MATLAB} and {Maple}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xiii + 447", year = "2012", ISBN = "0-12-384652-8 (hardcover)", ISBN-13 = "978-0-12-384652-5 (hardcover)", LCCN = "QA374 .G75 2012", bibdate = "Tue Jun 19 15:02:49 MDT 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Differential equations, Partial; Numerical analysis; Computer programs; MATLAB; Maple (Computer file)", tableofcontents = "Introduction to traveling wave analysis \\ Linear advection equation \\ Linear diffusion equation \\ A linear convection diffusion reaction equation \\ Diffusion equation with nonlinear source terms \\ Burgers-Huxley equation \\ Burgers-Fisher equation \\ Fisher-Kolmogorov equation \\ Fitzhugh-Nagumo equation \\ Kolmogorov-Petrovskii-Piskunov equation \\ Kuramoto-Sivashinsky equation \\ Kawahara equation \\ Regularized long wave equation \\ Extended Bernoulli equation \\ Hyperbolic Liouville equation \\ Sine-Gordon equation \\ Mth-Oder Klein-Gordon equation \\ Boussinesq equation \\ Modified wave equation \\ Appendix: Analytical solution methods for traveling wave problems", } @Book{Kharab:2012:INM, author = "Abdelwahab Kharab and Ronald B. Guenther", title = "An introduction to numerical methods: a {MATLAB} approach", publisher = pub-CHAPMAN-HALL-CRC, address = pub-CHAPMAN-HALL-CRC:adr, edition = "Third", pages = "14 + 567", year = "2012", ISBN = "1-4398-6899-9 (hardback), 1-4398-6900-6 (e-book)", ISBN-13 = "978-1-4398-6899-7 (hardback), 978-1-4398-6900-0 (e-book)", LCCN = "QA297 .K52 2012", bibdate = "Fri Nov 16 06:29:40 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Numerical analysis; Data processing; MATLAB", tableofcontents = "Introduction \\ Number system and errors \\ Roots of equations \\ System of linear equations \\ Interpolation \\ Interpolation with spline functions \\ The method of least-squares \\ Numerical optimization \\ Numerical differentiation \\ Numerical integration \\ Numerical methods for linear integral equations \\ Numerical methods for differential equations \\ Boundary-value problems \\ Eigenvalues and eigenvectors \\ Partial differential equations", } @Book{Langtangen:2012:PSP, author = "Hans Petter Langtangen", title = "A primer on scientific programming with {Python}", volume = "6", publisher = pub-SV, address = pub-SV:adr, edition = "Third", year = "2012", DOI = "http://dx.doi.org/10.1007/978-3-642-30293-0", ISBN = "3-642-30292-0, 3-642-30293-9 (e-book)", ISBN-13 = "978-3-642-30292-3, 978-3-642-30293-0 (e-book)", ISSN = "1611-0994", LCCN = "QA76.73.P98 L36 2012", bibdate = "Fri Nov 29 07:00:01 MST 2013", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/python.bib", series = "Texts in computational science and engineering", URL = "http://site.ebrary.com/id/10650410", abstract = "The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology, and finance. The book teaches ``Matlab-style'' and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers.", acknowledgement = ack-nhfb, subject = "Python (Computer program language); Computer programming; Science; Data processing", tableofcontents = "Computing with Formulas \\ Loops and Lists \\ Functions and Branching \\ Input Data and Error Handling \\ Array Computing and Curve Plotting \\ Files, Strings, and Dictionaries \\ Introduction to Classes \\ Random Numbers and Simple Games \\ Object-Oriented Programming", } @Book{Wulf:2012:CVR, author = "Andrea Wulf", title = "Chasing {Venus}: the race to measure the heavens", publisher = pub-KNOPF, address = pub-KNOPF:adr, pages = "xxvi + 304", year = "2012", ISBN = "0-307-70017-8 (hardcover), 0-307-95861-2 (e-book)", ISBN-13 = "978-0-307-70017-9 (hardcover), 978-0-307-95861-7 (e-book)", LCCN = "QB205.A2 W85 2012", bibdate = "Mon Jun 18 14:33:26 MDT 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", abstract = "The author of the highly acclaimed Founding Gardeners now gives us an enlightening chronicle of the first truly international scientific endeavor --- the eighteenth-century quest to observe the transit of Venus and measure the solar system. On June 6, 1761, the world paused to observe a momentous occasion: the first transit of Venus between the earth and the sun in more than a century. Through that observation, astronomers could calculate the size of the solar system --- but only if the transit could be viewed at the same time from many locations. Overcoming incredible odds and political strife, astronomers from Britain, France, Russia, Germany, Sweden, and the American colonies set up observatories in remote corners of the world only to have their efforts thwarted by unpredictable weather and warring armies. Fortunately, transits of Venus occur in pairs: eight years later, the scientists were given a second chance to get it right. Chasing Venus brings to life this extraordinary endeavor: the personalities of eighteenth-century astronomy, the collaborations, discoveries, personal rivalries, volatile international politics, and the race to be first to measure the distances between the planets.\par On June 6, 1761, the world paused to observe a momentous occasion: the first transit of Venus between the Earth and the sun in more than a century. Through that observation, astronomers could calculate the size of the solar system --- but only if the transit could be viewed at the same time from many locations. Overcoming incredible odds and political strife, astronomers from Britain, France, Russia, Germany, Sweden, and the American colonies set up observatories in remote corners of the world only to have their efforts thwarted by unpredictable weather and warring armies. Fortunately, transits of Venus occur in pairs: eight years later, the scientists were given a second chance to get it right. Chasing Venus brings to life this extraordinary endeavor: the personalities of eighteenth-century astronomy, the collaborations, discoveries, personal rivalries, volatile international politics, and the race to be first to measure the distances between the planets.", acknowledgement = ack-nhfb, remark = "The Venus solar transit of Tuesday 5 June 2012 was expected to be visible in Salt Lake City, which normally enjoys clear skies during much of the year. Alas, heavy clouds hung low in the valley on that single day, obscuring the event. Only near sundown was the final part of the six-hour transit partly visible through the clouds, by which time, most observers (including me) had given up.", subject = "geodetic astronomy; history; 18th century; astronomy; Venus (planet); transit", tableofcontents = "The gauntlet \\ Transit 1761. Call to action ; The French are first ; Britain enters the race ; To Siberia ; Getting ready for Venus ; Day of transit, 6 June 1761 ; How far to the sun? \\ Transit 1769. A second change ; Russia enters the race ; The most daring voyage of all ; Scandinavia, or, The Land of the Midnight Sun ; The North American continent ; Racing to the four corners of the globe ; Day of transit, 3 June 1769 ; After the transit \\ A new dawn \\ List of observers, 1761 \\ List of observers, 1769", } @Book{Arfken:2013:MMP, author = "George B. (George Brown) Arfken and Hans-J{\"u}rgen Weber and Frank E. Harris", booktitle = "Mathematical Methods for Physicists: a Comprehensive Guide", title = "Mathematical Methods for Physicists: a Comprehensive Guide", publisher = pub-ELSEVIER-ACADEMIC, address = pub-ELSEVIER-ACADEMIC:adr, edition = "Seventh", pages = "xiii + 1205", year = "2013", ISBN = "0-12-384654-4 (hardcover)", ISBN-13 = "978-0-12-384654-9 (hardcover)", LCCN = "QA37.3 .A74 2013", bibdate = "Thu May 3 08:02:53 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/harris-frank-e.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; jenson.stanford.edu:2210/unicorn", acknowledgement = ack-nhfb, subject = "Mathematical analysis; Mathematical physics", tableofcontents = "Preface / xi--xiii \\ 1: Mathematical Preliminaries / 1--82 \\ 2: Determinants and Matrices / 83--121 \\ 3: Vector Analysis / 123--203 \\ 4: Tensors and Differential Forms / 205--249 \\ 5: Vector Spaces / 251--297 \\ 6: Eigenvalue Problems / 299--328 \\ 7: Ordinary Differential Equations / 329--380 \\ 8: Sturm--Liouville Theory / 381--399 \\ 9: Partial Differential Equations / 401--445 \\ 10: Green's Functions / 447--467 \\ 11: Complex Variable Theory / 469--550 \\ 12: Further Topics in Analysis / 551--598 \\ 13: Gamma Function / 599--641 \\ 14: Bessel Functions / 643--713 \\ 15: Legendre Functions / 715--772 \\ 16: Angular Momentum / 773--814 \\ 17: Group Theory / 815--870 \\ 18: More Special Functions / 871--933 \\ 19: Fourier Series / 935--962 \\ 20: Integral Transforms / 963--1046 \\ 21: Integral Equations / 1047--1079 \\ 22: Calculus of Variations / 1081--1124 \\ 23: Probability and Statistics / 1125--1179 \\ Index / 1181--1205", } @Book{Pozrikidis:2013:XSC, author = "C. Pozrikidis", title = "{XML} in scientific computing", publisher = pub-CRC, address = pub-CRC:adr, pages = "xv + 243 pages", year = "2013", ISBN = "1-4665-1227-X (hardback)", ISBN-13 = "978-1-4665-1227-6 (hardback)", LCCN = "Q183.9 .P69 2013", bibdate = "Fri Nov 16 06:32:54 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/sgml2010.bib; http://www.math.utah.edu/pub/tex/bib/super.bib; z3950.loc.gov:7090/Voyager", series = "Chapman and Hall/CRC numerical analysis and scientific computing series", acknowledgement = ack-nhfb, subject = "XML (Document markup language); Science; Data processing; Numerical analysis; COMPUTERS / Internet / General.; MATHEMATICS / General.; MATHEMATICS / Number Systems.", } @Book{Dick:2010:DNS, author = "J. (Josef) Dick and Friedrich Pillichshammer", booktitle = "Digital nets and sequences: discrepancy and quasi-Monte Carlo integration", title = "Digital nets and sequences: discrepancy and quasi-Monte Carlo integration", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xvii + 600", year = "2010", ISBN = "0-521-19159-9 (hardback)", ISBN-13 = "978-0-521-19159-3 (hardback)", LCCN = "QA298 .D53 2010", bibdate = "Fri Mar 9 13:05:10 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib; z3950.loc.gov:7090/Voyager", URL = "http://assets.cambridge.org/97805211/91593/cover/9780521191593.jpg", abstract = "This book is a comprehensive treatment of contemporary quasi-Monte Carlo methods, digital nets and sequences, and discrepancy theory which starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi-Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.", acknowledgement = ack-nhfb, subject = "Monte Carlo method; nets (mathematics); sequences (mathematics); numerical integration; digital filters (mathematics)", tableofcontents = "Preface \\ Notation \\ 1. Introduction \\ 2. Quasi-Monte Carlo integration, discrepancy and reproducing kernel Hilbert spaces \\ 3. Geometric discrepancy \\ 4. Nets and sequences \\ 5. Discrepancy estimates and average type results \\ 6. Connections to other discrete objects \\ 7. Duality Theory \\ 8. Special constructions of digital nets and sequences \\ 9. Propagation rules for digital nets \\ 10. Polynomial lattice point sets \\ 11. Cyclic digital nets and hyperplane nets \\ 12. Multivariate integration in weighted Sobolev spaces \\ 13. Randomisation of digital nets \\ 14. The decay of the Walsh coefficients of smooth functions \\ 15. Arbitrarily high order of convergence of the worst-case error \\ 16. Explicit constructions of point sets with best possible order of L2-discrepancy \\ Appendix A. Walsh functions \\ Appendix B. Algebraic function fields \\ References \\ Index", } @Book{Gilli:2011:NMO, editor = "Manfred Gilli and Dietmar Maringer and Enrico Schumann", booktitle = "Numerical Methods and Optimization in Finance", title = "Numerical Methods and Optimization in Finance", publisher = pub-ELSEVIER-ACADEMIC, address = pub-ELSEVIER-ACADEMIC:adr, pages = "xv + 584", year = "2011", ISBN = "0-12-375662-6", ISBN-13 = "978-0-12-375662-6", LCCN = "HG106 .G55 2011", bibdate = "Wed Feb 8 07:35:45 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Finance; Mathematical methods", } @Book{Saad:2011:NML, author = "Youcef Saad", booktitle = "Numerical Methods for Large Eigenvalue Problems", title = "Numerical Methods for Large Eigenvalue Problems", volume = "66", publisher = pub-SIAM, address = pub-SIAM:adr, edition = "Second", pages = "xv + 276", year = "2011", ISBN = "1-61197-072-5", ISBN-13 = "978-1-61197-072-2", LCCN = "QA188 .S18 2011", bibdate = "Fri Jun 10 21:37:06 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib", series = "Classics in applied mathematics", URL = "http://www.cs.umn.edu/~saad/eig_book_2ndEd.pdf", acknowledgement = ack-nhfb, subject = "Nonsymmetric matrices; Eigenvalues", } @Book{Hanson:2014:NCM, author = "Richard J. Hanson and Tim Hopkins", title = "Numerical computing with modern {Fortran}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xv + 244", year = "2014", ISBN = "1-61197-311-2 (paperback), 1-61197-312-0 (e-book)", ISBN-13 = "978-1-61197-311-2 (paperback), 978-1-61197-312-9 (e-book)", LCCN = "QA76.73.F25 H367 2013", bibdate = "Wed Mar 12 11:09:16 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/fortran3.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib; z3950.loc.gov:7090/Voyager", series = "Applied mathematics", abstract = "The Fortran language standard has undergone significant upgrades in recent years (1990, 1995, 2003, and 2008). \booktitle{Numerical Computing with Modern Fortran} illustrates many of these improvements through practical solutions to a number of scientific and engineering problems. Readers will discover: techniques for modernizing algorithms written in Fortran; examples of Fortran interoperating with C or C++ programs, plus using the IEEE floating-point standard for efficiency; illustrations of parallel Fortran programming using coarrays, MPI, and OpenMP; and a supplementary website with downloadable source codes discussed in the book.", acknowledgement = ack-nhfb, subject = "FORTRAN (Computer program language); Numerical analysis; Computer programs; Science; Mathematics", tableofcontents = "Introduction \\ The modern Fortran source \\ Modules for subprogram libraries \\ Generic subprograms \\ Sparse matrices, defined operations, overloaded assignment \\ Object-oriented programming for numerical applications \\ Recursion in Fortran \\ Case study: toward a modern QUADPACK routine \\ Case study: quadrature routine qag2003 \\ IEEE arithmetic features and exception handling \\ Interoperability with C \\ Defined operations for sparse matrix solutions \\ Case study: two sparse least-squares system examples \\ Message passing with MPI in standard Fortran \\ Coarrays in standard Fortran \\ OpenMP in Fortran \\ Modifying source to remove obsolescent or deleted features \\ Software testing \\ Compilers \\ Software tools \\ Fortran book code on SIAM web site \\ Bibliography \\ Index", } @Book{Quarteroni:2014:SCM, author = "Alfio Quarteroni and Fausto Saleri and Paola Gervasio", title = "Scientific computing with {Matlab} and {Octave}", volume = "2", publisher = pub-SV, address = pub-SV:adr, pages = "xviii + 450 (est.)", year = "2014", DOI = "http://dx.doi.org/10.1007/978-3-642-45367-0", ISBN = "3-642-45366-X (hard cover)", ISBN-13 = "978-3-642-45366-3 (hard cover)", LCCN = "????", bibdate = "Sun Apr 13 16:57:12 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", series = "Texts in Computational Science and Engineering", URL = "http://link.springer.com/book/10.1007/978-3-642-45367-0", acknowledgement = ack-nhfb, tableofcontents = "Front Matter / i--xviii \\ What can't be ignored / 1--40 \\ Nonlinear equations / 41--76 \\ Approximation of functions and data / 77--111 \\ Numerical differentiation and integration / 113--136 \\ Linear systems / 137--191 \\ Eigenvalues and eigenvectors / 193--211 \\ Numerical optimization / 213--269 \\ Ordinary differential equations / 271--328 \\ Numerical approximation of boundary-value problems / 329--376 \\ Solutions of the exercises / 377--428 \\ Back Matter / 429--450", } %%% ==================================================================== %%% Cross-referenced entries must come last: @Proceedings{Bultheel:2010:BNA, editor = "Adhemar Bultheel and Ronald Cools", booktitle = "{The birth of numerical analysis}", title = "{The birth of numerical analysis}", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xvii + 221", year = "2010", ISBN = "981-283-625-X", ISBN-13 = "978-981-283-625-0", LCCN = "QA297 .B54 2010", bibdate = "Mon Aug 23 11:06:23 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", abstract = "The 1947 paper by John von Neumann and Herman Goldstine, ``Numerical Inverting of Matrices of High Order'' (Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years.", acknowledgement = ack-nhfb, remark = "Proceedings of a symposium held at the Department of Computer Science of the K.U. Leuven, October 29--30, 2007.", subject = "numerical analysis; congresses; history", } @Book{Forster:2010:FSC, editor = "Brigitte Forster and Peter Robert Massopust", booktitle = "Four short courses on harmonic analysis: wavelets, frames, time-frequency methods, and applications to signal and image analysis", title = "Four short courses on harmonic analysis: wavelets, frames, time-frequency methods, and applications to signal and image analysis", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "xvii + 247", year = "2010", DOI = "http://dx.doi.org/10.1007/978-0-8176-4891-6", ISBN = "0-8176-4891-7, 0-8176-4890-9", ISBN-13 = "978-0-8176-4891-6, 978-0-8176-4890-9", LCCN = "QA403 .F68 2010", bibdate = "Mon Aug 23 11:30:53 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/numana2010.bib; library.tufts.edu:210/INNOPAC", note = "With contributions by Ole Christensen, Karlheinz Gr{\"o}chenig, Demetrio Labate, Pierre Vandergheynst, Guido Weiss, and Yves Wiaux.", series = "Applied and numerical harmonic analysis", acknowledgement = ack-nhfb, subject = "mathematics; Fourier analysis; harmonic analysis; abstract harmonic analysis; signal, image and speech processing; theoretical, mathematical and computational physics", }