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Title: DYNAMICAL SYSTEMS AND NUMERICAL ANALYSIS
By: Andrew Stuart, A. R. Humphries, Mark J. Ablowitz
Format: Paperback

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ISBN 10: 0521645638
ISBN 13: 9780521645638
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 28 November, 1998
Series: Cambridge Monographs on Applied and Computational Mathematics No.2
Pages: 712
Description: This 1996 book unites the study of dynamical systems and numerical solution of differential equations.
Synopsis: This 1996 book unites the study of dynamical systems and numerical solution of differential equations. The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined. Topics studied include the stability of numerical methods for contractive, dissipative, gradient and Hamiltonian systems together with the convergence properties of equilibria, periodic solutions and strange attractors under numerical approximation. This book will be an invaluable tool for graduate students and researchers in the fields of numerical analysis and dynamical systems.
Illustrations: bibliography, index
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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