Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations [Paperback]

Uri M. Ascher (Author), Linda R. Petzold (Author)

Book Description

Publication Date: July 31, 1998 | ISBN-10: 0898714125 | ISBN-13: 978-0898714128

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.

Editorial Reviews

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

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.

Product Details

• Paperback: 332 pages
• Publisher: SIAM: Society for Industrial and Applied Mathematics (July 31, 1998)
• Language: English
• ISBN-10: 0898714125
• ISBN-13: 978-0898714128
• Product Dimensions: 9.8 x 7 x 0.7 inches
• Shipping Weight: 1.2 pounds
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #596,218 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

4 of 8 people found the following review helpful:

4.0 out of 5 stars Its a handbook for numerical solutions of ODE & DAE., August 14, 2002

By 

Eduardo El Ruiz Flores (Iquique, Chile/Iquique/Tarapacá Chile) - See all my reviews
(REAL NAME)   

This review is from: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations (Paperback)

This book is excellent. The concepts about stiff, initial value problems, boundary value problems and differential-Algebraic equations (DAE) is treated with relative deep.

The numerical methods for many cases is covered.

The bad is that don't show the code. The code is in a web (NETLIB) and is writed in Fortran Language.

Is very expensive!