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

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Academic Press Inc.

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Abstract

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.

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parabolic equations, spatial discretization, topological equivalence of attractors

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English

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Journal of Differential Equations. San Diego: Academic Press Inc., v. 168, n. 1, p. 67-92, 2000.

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Instituto de Geociências e Ciências Exatas
IGCE
Campus: Rio Claro


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