The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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NUMERICAL EVALUATION OF CAUCHY PRINCIPAL VALUE INTEGRALS USING A PARAMETRIC RATIONAL TRANSFORMATION

  • Beong In Yun (Department of Mathematics, Kunsan National University)
  • Received : 2022.08.06
  • Accepted : 2023.09.13
  • Published : 2023.11.30
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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.

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Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2021R1F1A1047343).

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