Estimates in discretizing normally hyperbolic compact invariant manifolds of ordinary differential equations

Discretization methods in the vicinity of normally hyperbolic compact invar iant manifolds of ordinary differential equations are considered. The exist ence of a discretized normally hyperbolic compact invariant manifold is pro ved and, in various metric topologies, the distance between the original ma nifold and its discretized counterpart is estimated. Proofs are based on re considering the Hirsch et al. [1] pproach and supplying the necessary estim ates. (C) 2001 Elsevier Science Ltd. All rights reserved.