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Dynamical Systems and Numerical Analysis

Stuart, A. M. and Humphries, A. R. (1996) Dynamical Systems and Numerical Analysis. Cambridge Monographs on Applied and Computational Mathematics. Cambridge University Press , Cambridge, UK. ISBN 9780521645638. http://resolver.caltech.edu/CaltechAUTHORS:20161110-163922626

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Abstract

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.


Item Type:Book
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http://www.cambridge.org/us/academic/subjects/mathematics/numerical-analysis/dynamical-systems-and-numerical-analysis?format=PB&isbn=9780521645638PublisherBook
Additional Information:© 1998 Cambridge University Press.
Record Number:CaltechAUTHORS:20161110-163922626
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161110-163922626
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71925
Collection:CaltechAUTHORS
Deposited By: Linda Taddeo
Deposited On:16 Nov 2016 01:04
Last Modified:16 Nov 2016 01:04

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