Solving Ordinary Differential Equations
Volume II Stiff and Differential-Algebraic Problems
604 pages, parution le 21/01/2002
Résumé
The subject of this book is the solution of stiff
differential equations and of differential-algebraic
systems (differential equations with constraints). The book
is divided into four chapters. 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.
Contents
- Stiff problems - One-step methods
- Multistep methods for stiff problems
- Singular perturbation problems and index 1 problems
- Differential-Algebraic equations of higher index
- Bibliography
- Symbol index
- Subject index
L'auteur - Gerhard Wanner
Gerhard Wanner is the former President of Section VII of the Swiss Academy of Natural Sciences, former Head of Department of Mathematics at the University of Geneva, and former President of the Swiss Mathematical Society. He is the author of several books with Springer, including Analysis by its History, written together with Ernst Hairer.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Ernst Hairer, Gerhard Wanner |
| Parution | 21/01/2002 |
| Nb. de pages | 604 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 1000g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540604525 |
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