Dynamical Systems and Numerical Analysis

Andrew Stuart, A. R. Humphries (Autoren)

Buch | Softcover

712 Seiten

1998
Cambridge University Press (Verlag)
978-0-521-64563-8 (ISBN)

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This 1996 book unites the study of dynamical systems and numerical solution of differential equations. It will be an invaluable tool for graduate students and researchers in the fields of numerical analysis and dynamical systems.

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.

1. Finite dimensional maps; 2. Ordinary differential equations; 3. Numerical methods for initial value problems; 4. Numerical methods as dynamical systems; 5. Global stability; 6. Convergence of invariant sets; 7. Global properties and attractors under discretisation; 8. Hamiltonian and conservative systems; Appendices; Bibliography; Index.

Erscheint lt. Verlag	28.11.1998
Reihe/Serie	Cambridge Monographs on Applied and Computational Mathematics
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	1030 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-521-64563-8 / 0521645638
ISBN-13	978-0-521-64563-8 / 9780521645638
Zustand	Neuware