Ascher U.M., Petzold L.R. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
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Society for Industrial and Applied Mathematics, 1998. - 332 pages.Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails. This is a practical and mathematically well informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included.
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Academic Press, 2008. - 272 pages.
Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed.
· Clearer, simpler descriptions and explanations of the various numerical methods
· Windows based software
· Two new types...
Society for Industrial Mathematics, 1987. - 621 pages.
This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and...
Canada, University of Ottawa, 2009, 189 p.
Учебник по численным методам с примерами на Matlab. Хорошо изложено "Численное дифференцирование и интегрирование" ( "Numerical Differentiation and Integration"). Глава 6 ("The Matlab ODE Suite"), написанная на основе известной статьи авторов, посвящена сравнению Matlab-программ для решения обыкновенных дифференциальных уравнений....
Wiley, 1989. - 712 pages.
This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines, boundary...
John Wiley & Sons, 2004. - 576 pages. 3 edition ISBN: 0471433373
Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized...
Wiley, 2009. — 252 p. — ISBN: 047004294X
A concise introduction to numerical methods and the mathematical framework needed to understand their performance
Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only...