Discrete projection methods for Cauchy singular integral equations with constant coefficients (Q1124306)
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scientific article; zbMATH DE number 4111971
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete projection methods for Cauchy singular integral equations with constant coefficients |
scientific article; zbMATH DE number 4111971 |
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Discrete projection methods for Cauchy singular integral equations with constant coefficients (English)
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1989
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The numerical solution of Cauchy singular integral equations by Galerkin, spline collocation, and quadrature methods is considered. Improved convergence rates for Galerkin methods are given and new results for collocation methods are presented. In particular the evaluation of inner products by numerical quadrature is examined in detail. A new algorithm for equations of the first kind with index zero and logarithmically singular kernels is developed and convergence is established.
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Galerkin methods
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spline collocation methods
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Cauchy singular integral equations
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quadrature methods
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convergence rates
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algorithm
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equations of the first kind
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logarithmically singular kernels
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