Finite dimensional maps -- Ordinary differential equations -- Numerical methods for initial value problems -- Numerical methods as dynamical systems -- Global stability -- Convergence of invariant sets -- Global properties and attractors under discretization -- Hamiltonian and conservative systems -- Appendices
Summary
With this text, the authors unite the study of dynamical systems and numerical solution of differential equations. Coverage includes finite dimensional maps, global stability, Hamiltonian and conservative systems, and the convergence of invariant sets
Bibliography
Includes bibliographical references (pages 660-679) and index
