Singularly perturbed parabolic problems with non-smooth data. (Q1428501)
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scientific article; zbMATH DE number 2062770
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singularly perturbed parabolic problems with non-smooth data. |
scientific article; zbMATH DE number 2062770 |
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Singularly perturbed parabolic problems with non-smooth data. (English)
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29 March 2004
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The authors examine a class of singularly perturbed parabolic equations with discontinuous data. Interior layers appear in the solutions of this class of problems. They construct a numerical method which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the perturbation parameter.
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singular perturbation
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parabolic equation
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interior layer
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piecewise-uniform mesh
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discontinuous data
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convergence
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