An algorithm for the numerical evaluation of certain finite part integrals

DOI10.5402/2011/571583zbMathNoneOpenAlexW2008938266WikidataQ58689810 ScholiaQ58689810MaRDI QIDQ420208

Hany M. Ahmed, Samir A. Ashour

Publication date: 21 May 2012

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/571583

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

Cites Work

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• Gaussian formulae for the calculation of Cauchy principal value integrals and their convergence
• The numerical evaluation of one-dimensional Cauchy principal value integrals
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• On an interpolatory product rule for evaluating Cauchy principal value integrals
• On the convergence of some quadrature rules for Cauchy principal-value and finite-part integrals
• Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates
• 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
• Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
• On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
• On the convergence of Hunter's quadrature rule for Cauchy principal value integrals
• Evaluations of hypersingular integrals using Gaussian quadrature

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