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

Authors
Bruschi, SM Carvalho, AN Ruas, JG
Citation
Sm. Bruschi et al., The dynamics of a one-dimensional parabolic problem versus the dynamics ofits discretization, J DIFF EQUA, 168(1), 2000, pp. 67-92
Citations number
15
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
168
Issue
1
Year of publication
2000
Part
1
Pages
67 - 92
Database
ISI
SICI code
0022-0396(20001120)168:1<67:TDOAOP>2.0.ZU;2-N
Abstract
In this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exa ctly the same asymptotic dynamics as the continuous problem. (C) 2000 Acade mic Press.