Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, 2nd edition

Hairer, Ernst; Wanner, Gerhard

ISBN 10: 3642052207 / ISBN 13: 9783642052200

Published by U.S.A.: Springer, 2010

About this Item

**INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service.

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Bibliographic Details

• Title: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, 2nd edition
• Publisher: U.S.A.: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 3642052207
• ISBN 13: 9783642052200
• Binding: Soft cover
• Edition: International Edition
• Condition: New
• Dust Jacket Condition: New

About this title

Synopsis

The subject of this book is the solution of stiff differential equations and of differential-algebraic systems. This second completely revised and enlarged edition contains, in particular, the following new material: explicit methods with optimal stability, new numerical tests, properties of error growth functions, recent progress in numerical differential-algebraic equations, improved FORTRAN codes etc.

From the Back Cover

The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). There is a chapter on one-step and extrapolation methods for stiff problems, another on multistep methods and general linear methods for stiff problems, a third on the treatment of singular perturbation problems, and a last one on differential-algebraic problems with applications to constrained mechanical systems. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g. in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.

Ernst Hairer and Gerhard Wanner were jointly awarded the 2003 Peter Henrici Prize at ICIAM 2003 in Sydney, Australia.