The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical...
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| Auteurs principaux: | , , |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| סדרה: | Lecture notes in mathematics
1409 |
| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The numerical solution of differential-algebraic systems by Runge-Kutta methods, Ernst Hairer, Christian Lubich, Michel Roche, 1989, Berlin, Springer, 1 vol. (VII-139 p.), Lecture notes in mathematics, 3-540-51860-6 • The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Texte imprimé, 9783662194782 |
תוכן הענינים:
- Description of differential-algebraic problems
- Runge-Kutta methods for differential-algebraic equations
- Convergence for index 1 problems
- Convergence for index 2 problems
- Order conditions of Runge-Kutta methods for index 2 systems
- Convergence for index 3 problems
- Solution of nonlinear systems by simplified Newton
- Local error estimation
- Examples of differential-algebraic systems and their solution.