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Dynamical Systems and Numerical Analysis.
・ISBN 978-0-521-64563-8 paper GB£ 88.00
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| 著者・編者 | Stuart, Andrew / Humphries, A. R., |
|---|---|
| シリーズ | Cambridge Monographs on Applied and Computational Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1998 |
| ページ数 | 712 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-9466＞ |
解説
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.