The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization (Q1592709)

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scientific article; zbMATH DE number 1556502
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The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
scientific article; zbMATH DE number 1556502

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    The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization (English)
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    7 August 2001
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    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.
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    Neumann boundary condition
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    spatial semidiscretization
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    topological equivalence of attractors
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