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Synopsis
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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- ÉditeurSpringer
- Date d'édition2009
- ISBN 10 3540518606
- ISBN 13 9783540518600
- ReliureBroché
- Langueanglais
- Nombre de pages156
- Coordonnées du fabricantnon disponible
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The Neumerical Solution Of Differential-Algebraic Systems By Runge-Kutta Methods
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The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
Edité par
Springer Berlin Heidelberg, 1989
ISBN 10 : 3540518606
ISBN 13 : 9783540518600
Neuf
Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 me. N° de réf. du vendeur 4892165
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The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics, 1409)
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The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
Edité par
Springer Berlin Heidelberg, 1989
ISBN 10 : 3540518606
ISBN 13 : 9783540518600
Neuf
Taschenbuch
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9783540518600
Quantité disponible : 1 disponible(s)