Title: Dynamical systems and numerical analysis /
Authors: Stuart, A. M.; Humphries, A. R.
Publisher: Cambridge University Press,
Year: 1996
Subjects: Differentiable dynamical systems.; Numerical analysis.
Abstract: 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.
Contents: 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.