The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
type: Item
instance of: scholarly article
title: The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
zbMATH Open document ID: 0966.35056
author: Simone M. Bruschi
author: A. N. Carvalho
author: José Gaspar Ruas-Filho
published in: Journal of Differential Equations
publication date: 2001-08-07T00:00:00Z
full work available at URL: http://hdl.handle.net/11449/25114
review text: A one-dimensional system of parabolic equations with Neumann boundary condition is investigated in the paper. The aim of this work is to show that the asymptotic dynamics of the continuous and semidiscrete equations are topologically equivalent for a sufficiently small space step size.
reviewed by: Angela Handlovičová
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 1556502
zbMATH Keywords: Neumann boundary condition
zbMATH Keywords: spatial semidiscretization
zbMATH Keywords: topological equivalence of attractors
MaRDI profile type: Publication
OpenAlex ID: W2067306155
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DOI: 10.1006/JDEQ.2000.3878
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description: scientific article; zbMATH DE number 1556502