Springer Series in Computational Mathematics

Solving Ordinary Differential Equations II

Stiff and Differential-Algebraic Problems

Authors: Hairer, Ernst, Wanner, Gerhard

書籍の購入

イーブック 71,39 €
価格の適用国: Japan (小計)
  • ISBN 978-3-642-05221-7
  • ウォーターマーク付、 DRMフリー
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ハードカバー 159,99 €
価格の適用国: Japan (小計)
  • ISBN 978-3-540-60452-5
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  • Usually dispatched within 3 to 5 business days.
ソフトカバー 86,99 €
価格の適用国: Japan (小計)
  • ISBN 978-3-642-05220-0
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
この書籍について

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.

レビュー

From the reviews of the second edition:

This is a superb book...Throughout, illuminating graphics, sketches and quotes from papers of researchers in the field add an element of easy informality and motivate the text." Mathematics Today

“This volume, on nonstiff equations, is the second of a two-volume set. This second volume treats stiff differential equations and differential-algebraic equations. … This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. It should be in every library, both academic and industrial.” (Teodora-Liliana Rădulescu, Zentralblatt MATH, Vol. 1192, 2010)


Table of contents (38 chapters)

  • Examples of Stiff Equations

    Hairer, Ernst (et al.)

    Pages 2-14

    Preview Buy Chapter 26,95 €
  • Stability Analysis for Explicit RK Methods

    Hairer, Ernst (et al.)

    Pages 15-39

    Preview Buy Chapter 26,95 €
  • Stability Function of Implicit RK-Methods

    Hairer, Ernst (et al.)

    Pages 40-50

    Preview Buy Chapter 26,95 €
  • Order Stars

    Hairer, Ernst (et al.)

    Pages 51-70

    Preview Buy Chapter 26,95 €
  • Construction of Implicit Runge-Kutta Methods

    Hairer, Ernst (et al.)

    Pages 71-90

    Preview Buy Chapter 26,95 €

書籍の購入

イーブック 71,39 €
価格の適用国: Japan (小計)
  • ISBN 978-3-642-05221-7
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー 159,99 €
価格の適用国: Japan (小計)
  • ISBN 978-3-540-60452-5
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー 86,99 €
価格の適用国: Japan (小計)
  • ISBN 978-3-642-05220-0
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
Solving Ordinary Differential Equations II
Book Subtitle
Stiff and Differential-Algebraic Problems
Authors
Series Title
Springer Series in Computational Mathematics
Series Volume
14
Copyright
1996
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
イーブック ISBN
978-3-642-05221-7
DOI
10.1007/978-3-642-05221-7
ハードカバー ISBN
978-3-540-60452-5
ソフトカバー ISBN
978-3-642-05220-0
Series ISSN
0179-3632
Edition Number
2
Number of Pages
XV, 614
Topics