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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.

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Book Details

ISBN: 9780521645638
ISBN-10: 0521645638
Format: Paperback
(228mm x 152mm x 40mm)
Pages: 712
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Nov-1998
Country of Publication: United Kingdom

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