The numerical treatment of hypersingular integral equations (Q2718087)
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scientific article; zbMATH DE number 1606300
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical treatment of hypersingular integral equations |
scientific article; zbMATH DE number 1606300 |
Statements
30 April 2002
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Prandtl's type equations
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polynomial collocation
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quadrature methods
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collocation methods
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convergence
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integro-differential equations of Prandtl's type
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weighted Sobolev spaces
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numerical experiments
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The numerical treatment of hypersingular integral equations (English)
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The authors formulate convergence results for collocation and discrete collocation methods for integro-differential equations of Prandtl's type in weighted Sobolev spaces and in weighted spaces of continuous functions. Numerical experiments for two equations confirm the predicted convergence rates.
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