The evaluation of Cauchy principal value integrals involving unknown poles

DOI10.1007/BF02219236zbMath0679.65012MaRDI QIDQ1822890

D. B. Hunter, H. V. Smith

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Cauchy principal value integralsRomberg integrationunknown poles

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)

Uses Software

• QUADPACK

Cites Work

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• Numerical calculation of incomplete gamma functions by the trapezoidal rule
• An algorithm for the numerical evaluation of certain Cauchy principal value integrals
• Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
• The numerical evaluation of Cauchy principal values of integrals by Romberg integration
• On the Numerical Evaluation of Cauchy Principal Values of Integrals
• Error-Bounds for the Evaluation of Integrals by the Euler-Maclaurin Formula and by Gauss-Type Formulae
• Uniform Computation of the Error Function and Other Related Functions
• Numerical evaluation of cauchy principal values of integrals
• The evaluation of integrals of periodic analytic functions