An unconventional algorithm for singular integral equations (Q1318429)
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scientific article; zbMATH DE number 540480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An unconventional algorithm for singular integral equations |
scientific article; zbMATH DE number 540480 |
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An unconventional algorithm for singular integral equations (English)
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30 October 1994
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This paper extends recent results of the author [J. Integral Equations Appl. 4, No. 3, 443-463 (1992; Zbl 0764.65088)] obtained for singular integral equations of negative index on an interval to equations of index zero or one. He describes a numerical method based on Chebyshev quadrature and singularity subtraction at the endpoints of the interval by means of Hermite-type interpolating polynomials. The paper presents numerical experiments, but gives no convergence analysis.
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quadrature method
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singular integral equations
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index zero or one
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Chebyshev quadrature
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singularity subtraction
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numerical experiments
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