Difference schemes for the singularly perturbed Sobolev periodic boundary problem. (Q1427908)
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scientific article; zbMATH DE number 2056111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Difference schemes for the singularly perturbed Sobolev periodic boundary problem. |
scientific article; zbMATH DE number 2056111 |
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Difference schemes for the singularly perturbed Sobolev periodic boundary problem. (English)
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14 March 2004
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The paper deals with a new difference scheme towards solving evolution equations of Sobolev type in a single space variable and with boundary layers. The convergence and error estimates are studied. The discussed methods are very robust (they have good convergence properties for moderate and large values of the perturbation parameter).
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difference scheme
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Sobolev problem
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singular perturbation
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uniform convergence
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boundary layers
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error estimates
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