On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines (Q1919936)
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scientific article; zbMATH DE number 910299
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines |
scientific article; zbMATH DE number 910299 |
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On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines (English)
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28 July 1996
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The author considers the numerical evaluation of one-dimensional Cauchy principal value integrals of the form \(\int^1_{-1} k(x) {f(x) \over x-\lambda} dx\), \(-1< \lambda < 1\), by rules obtained by subtracting out the singularity and then applying quadrature formulas based on quasi-interpolating splines, with the assumption that the integral exists.
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singularity subtraction
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Cauchy principal value integrals
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quadrature formulas
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quasi-interpolating splines
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