Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations - Softcover

Ascher, Uri M.; Petzold, Linda R.

Softcover

ISBN 10: 0898714125 ISBN 13: 9780898714128

Publisher: SIAM: Society for Industrial and Applied Mathematics, 1998

Synopsis

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.

About this title

Book Description

Designed for anyone who wishes 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. A thorough understanding of the issues and methods for practical computation is provided, whilst avoiding an extensive theorem-proof exposition.

Review

' ... All in all, the book, which also contains many examples and pointers to software, is excellent as an introduction to the field and definitely suitable for introductory courses at senior undergraduate or beginning graduate level.' C. Bendtsen, Zentralblatt für Mathematik

'I found the book recommendable and very readable. Moreoever, the layout is a feast for the eyes, showing the possibilities of a careful LaTex design.' Michael Hanke, Mathematical Reviews

Edition details

• Publisher: SIAM: Society for Industrial and Applied Mathematics
• Publication date: 1998
• Language: English
• ISBN 10: 0898714125
• ISBN 13: 9780898714128
• Binding: Paperback
• Number of pages: 332