Dynamical Systems and Numerical Analysisby Andrew Stuart, A. R. Humphries
Pub. Date: 03/28/2012
Publisher: Cambridge University Press
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.
- Cambridge University Press
- Publication date:
- Cambridge Monographs on Applied and Computational Mathematics Series, #2
- Product dimensions:
- 5.98(w) x 8.98(h) x 1.69(d)
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.
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