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Item Details
Title:
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THE NUMERICAL SOLUTION OF DIFFERENTIAL ALGEBRAIC SYSTEMS BY RUNGE-KUTTA METHODS
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By: |
E. Hairer, Christian Lubich, Michel Roche |
Format: |
Paperback |
List price:
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£22.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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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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