The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods: 1409 (Lecture Notes in Mathematics) - Softcover
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Numerical Solution Of Differential-Algebraic Systems By Runge-Kutta Methods (Lecture Notes In Mathematics) by Hairer,E., Lubich, C., Roche, M., 9783540518600, Springer, 1989, Paperback
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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.
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- VerlagSpringer
- Erscheinungsdatum1989
- ISBN 10 3540518606
- ISBN 13 9783540518600
- EinbandTapa blanda
- Anzahl der Seiten156
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The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
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Springer Berlin Heidelberg
(1989)
ISBN 10: 3540518606
ISBN 13: 9783540518600
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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783540518600
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