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ISSN : 1226-0657

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Vol.30 No.4

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Numerical Evaluation of Cauchy Principal Value Integrals using a Parametric Rational Transformation

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.4, pp.347-355
https://doi.org/10.7468/jksmeb.2023.30.4.347

(2023). Numerical Evaluation of Cauchy Principal Value Integrals using a Parametric Rational Transformation. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(4), 347-355, https://doi.org/10.7468/jksmeb.2023.30.4.347

Abstract

For numerical evaluation of Cauchy principal value integrals, we present a simple rational function with a parameter satisfying some reasonable conditions. The proposed rational function is employed in coordinate transformation for accelerating the accuracy of the Gauss quadrature rule. The efficiency of the proposed rational transformation method is demonstrated by the numerical result of a selected test example.

keywords
rational function, Cauchy principal value integral, Gauss-Legendre quadrature rule

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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