A systematic formula for the asymptotic expansion of singular integrals (Q580634)
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scientific article; zbMATH DE number 4017598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A systematic formula for the asymptotic expansion of singular integrals |
scientific article; zbMATH DE number 4017598 |
Statements
A systematic formula for the asymptotic expansion of singular integrals (English)
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1987
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The author presents a new method to obtain the asymptotic expansion of an integral with homogeneous kernel defined in terms of its finite part (FP) by considering the integral \(FP\int_{D}f(x)K(x,\epsilon)dx.\) The usefulness of the formula is depicted by two specific examples. In the first example the weight function has an explicit expression, and the other example illustrates the method with respect to a problem of applied nature in which the weight function is unknown.
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matrix inversion
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homogeneous kernel
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finite part integral
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asymptotic expansion
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