The numerical evaluation of a class of logarithmically singular integral transforms (Q687009)
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scientific article; zbMATH DE number 429077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical evaluation of a class of logarithmically singular integral transforms |
scientific article; zbMATH DE number 429077 |
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The numerical evaluation of a class of logarithmically singular integral transforms (English)
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17 October 1993
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The authors consider various integral transforms \(I_ i(x)\) with logarithmically singular kernels. Using finite Chebyshev series, they give an algorithm for approximating \(I_ i(x)\) and a number of properties. They briefly compare their method to that of \textit{J. Fromme}, the first author and \textit{J. Werth} [NASA Contractor Report No. 3210, NASA, Washington D. C., (1979)] for evaluating \(I_ 2(x)\). Finally for some special cases four numerical examples are given.
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integral transforms
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logarithmically singular kernels
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finite Chebyshev series
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algorithm
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numerical examples
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