Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations

Brenan, K.E. and S.L. Campbell and L.R. Petzold

ISBN 10: 0444015116 / ISBN 13: 9780444015112

Published by Elsevier Science Publishing, 1989

About this Item

210 pp. cover shows almost no signs of shelf wear. pages are clean and unmarked. 2.

Seller Inventory # SM0000023221

Bibliographic Details

• Title: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations
• Publisher: Elsevier Science Publishing
• Publication Date: 1989
• Language: English
• ISBN 10: 0444015116
• ISBN 13: 9780444015112
• Binding: hardcover
• Condition: fine
• Seller catalogs:
  • Mathematics

About this title

Synopsis

Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date.

Review

'[This book] is indisputably the best existing book on DAEs. It has structured the most important results on solvability properties, numerical methods, and software for DAEs. It is well written and describes difficulties with DAEs in a comprehensible way. It does not require any prior knowledge of the subject by the reader. The book is recommended to anyone who wants an introduction to DAEs. It is also a book that everyone who performs reseach on DAEs should have.' Anders Barrlund, OPTIMA