The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization

[摘要] In this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exactly the same asymptotic dynamics as the continuous problem. (C) 2000 Academic Press.

[发布日期] 2000-11-20

[关键词] parabolic equations;spatial discretization;topological equivalence of attractors