Dynamical Systems and Numerical Analysis
Dynamical Systems and Numerical Analysis
AUD$142.68
exc GSTThis 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.
- Brings together the fields of numerical analysis and the theory of dynamical systems
- Is accessible to a wide range of readers, but also reaches the frontiers of knowledge in the field
- Contains numerous exercises despite the research monograph aspects of the material covered
Product details
May 1999Paperback
9780521645638
712 pages
229 × 152 × 40 mm
1.03kg
Available
Table of Contents
- 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.
