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. https://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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| Additional Information: | © 1998 Cambridge University Press. | ||||||
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| Series Name: | Cambridge Monographs on Applied and Computational Mathematics | ||||||
| Record Number: | CaltechAUTHORS:20161110-163922626 | ||||||
| Persistent URL: | https://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: | 03 Oct 2019 16:12 |
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