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

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한국수학교육학회|2023.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제30권 제4호|pp. 347-355|DOI https://doi.org/10.7468/jksmeb.2023.30.4.347

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키워드

rational functionCauchy principal value integralGauss-Legendre quadrature rule
주제분류수학

초록

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.

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.

참고문헌 (13)

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