Numerical evaluation of a Cauchy principal value integral that arises in a problem involving the generation of instability waves

DOI10.1016/0021-9991(85)90118-4zbMath0602.65009OpenAlexW2056939914MaRDI QIDQ1082032

Avram Sidi

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90118-4

zbMATH Keywords

analytic methodsCauchy principal value integralsDilogarithmsGauss-Legendre integration formulageneration of instability waves

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• The special functions and their approximations. Vol. I, II
• Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
• On the Numerical Evaluation of Cauchy Principal Values of Integrals
• The Dilogarithm Function of a Real Argument
• Numerical evaluation of cauchy principal values of integrals