Springer, 2013. — 894 p. 194 illus., 10 illus. in color. — ISBN: 9781461484530This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well as some Matlab codes provided online as supplementary material. Contents:
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1st Ed., Springer, 2008. - 494 pp. - ISBN-10: 3211715746
This is a thorough, yet understandable text about the boundary element method (BEM), an attractive alternative to the finite element method (FEM). It not only explains the theory, but also deals with the implementation into computer code written in FORTRAN 95 (software can be freely downloaded). Applications range from...
Society for Industrial and Applied Mathematics, 2002, -711 pp.
It has been 30 years since the publication of Wilkinson's books Rounding Errors in Algebraic Processes [1232, 1963] and The Algebraic Eigenvalue Problem [1233, 1965]. These books provided the first thorough analysis of the effects of rounding errors on numerical algorithms, and they rapidly became highly influential...
Springer – 2012, 654 pages.
Complete update of an important and successful text in a fast-moving field
Three new chapters, covering network flow theory, search methods from MP and AI, and GO/Nonlinear Programming
Now includes exercise solutions
The first edition of Integrated Methods for Optimization was published in January 2007. Because the book covers...
NY.: Dover, 2-ed, 1994, 541 p.
Второе издание (1-ое было в 1966 году) классического американского учебника по численным методам.
Excellent advanced-undergraduate and graduate text covers norms, numerical solution of linear systems and matrix factoring, iterative solutions of nonlinear equations, eigenvalues and eigenvectors, polynomial approximation and more. Careful analysis...
Wiley, 2011. — 743 p.
A comprehensive overview of Monte Carlo simulation that explores the latest topics, techniques, and real-world applications More and more of today's numerical problems found in engineering and finance are solved through Monte Carlo methods. The heightened popularity of these methods and their continuing development makes it important for researchers to...
Cambridge University Press, 2007. — 1262 p.
William H. Press - Raymer Chair in Computer Sciences and Integrative Biology The University of Texas at Austin
Saul A. Teukolsky - Hans A. Bethe Professor of Physics and Astrophysics Cornell University
William T. Vetterling - Research Fellow and Director of Image Science ZINK Imaging, LLC
Brian P. Flannery - Science,...