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Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dep

Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dep

by Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems
No customer reviews yet ISBN 9780898716290 Society for Industrial and Applied Mathematics

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. Exercises and student projects are available on the book's webpage, along with Matlab mfiles for implementing methods. Readers will gain an understanding of the essential ideas that underlie the development, analysis, and practical use of finite difference methods as well as the key concepts of stability theory, their relation to one another, and their practical implications. The author provides a foundation from which students can approach more advanced topics.

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BrandSociety for Industrial and Applied Mathematics
Pub dateSep 6, 2007
ISBN-100898716292
ISBN-139780898716290
Paperback184.0 pages
LanguageEnglish
Dimensions10 × 0.75 × 7 in
Weight1 lb
Last updated 2025-05-30 14:11
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