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Item Details
Title: THE NUMERICAL SOLUTION OF DIFFERENTIAL ALGEBRAIC SYSTEMS BY RUNGE-KUTTA METHODS
By: E. Hairer, Christian Lubich, Michel Roche
Format: Paperback

List price: £22.99


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ISBN 10: 3540518606
ISBN 13: 9783540518600
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 28 November, 1989
Edition: 1989 ed.
Series: Lecture Notes in Mathematics No. 1409
Pages: 146
Description: The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. This title features lecture notes that provide a self-contained treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods.
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.
Illustrations: biography
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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