Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

Ascher, Uri M.

ISBN 10: 0898714125 / ISBN 13: 9780898714128

Published by SIAM: Society for Industrial and Applied Mathematics, 1998

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Bibliographic Details

• Title: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
• Publisher: SIAM: Society for Industrial and Applied Mathematics
• Publication Date: 1998
• Language: English
• ISBN 10: 0898714125
• ISBN 13: 9780898714128
• Binding: Paperback
• Condition: new

About this title

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.

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.