A sinc quadrature subroutine for Cauchy principal value integrals (Q1964071)
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scientific article; zbMATH DE number 1398793
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sinc quadrature subroutine for Cauchy principal value integrals |
scientific article; zbMATH DE number 1398793 |
Statements
A sinc quadrature subroutine for Cauchy principal value integrals (English)
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21 August 2000
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The aim of this paper is to present a subroutine for the evaluation of Cauchy principal value integrals. The method is based on a truncated sum of a Sinc function series. A nested sequence of approximation algorithm is proposed. Numerical results prove that the proposed algorithm works well on analytic functions with endpoint singularities. Calculations were carried out on a Sun SPARC server-1000 in double precision (IEEE standard). ANSI FORTRAN 77 listing for the algorithm AUSINC is included and can be free downloaded via anonymous ftp to www.cs.dal.ca/keast/ausinc.
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sinc quadrature
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Cauchy principal value integrals
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AUSINC code
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algorithm
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numerical results
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endpoint singularities
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0.92345095
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0.89769167
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0.8891321
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0.88094324
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0.8803625
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0.8788834
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