Dynamical Systems and Numerical Analysis (Cambridge Monographs on Applied and Computational Mathematics, Series Number 2)

Stuart, Andrew

ISBN 10: 0521645638 / ISBN 13: 9780521645638

Published by Cambridge University Press, 2010

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Synopsis:

This 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 formulted 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 strage 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.

Book Description: 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.

Bibliographic Details

Title: Dynamical Systems and Numerical Analysis (...
Publisher: Cambridge University Press
Publication Date: 2010
Binding: paperback
Condition: Good