The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods: 1409 (Lecture Notes in Mathematics) - Tapa blanda

Hairer, Ernst

 
9783540518600: The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods: 1409 (Lecture Notes in Mathematics)
Tapa blanda
ISBN 10: 3540518606 ISBN 13: 9783540518600
Editorial: Springer, 2009

Sinopsis

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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Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2009
Idioma
Inglés
ISBN 10 
3540518606
ISBN 13 
9783540518600
Encuadernación
Tapa blanda
Número de páginas
156
Contacto del fabricante
no disponible
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