The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods / Lecture Notes in Mathematics Bd.1409 (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autoren: Ernst Hairer , Christian Lubich , Michel Roche
- 2006, 1989, 146 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540468323
- ISBN-13: 9783540468325
- Erscheinungsdatum: 14.11.2006
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- Grösse: 9.26 MB
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Englisch
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