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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| Hauptverfasser: | , , |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1409 |
| Schlagworte: | |
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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 |
| Zusammenfassung: | 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 reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications. |
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| Beschreibung: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540468325 (PDF) |
| ISSN: | 1617-9692 |
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