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A Gauss quadrature rule for hypersingular integrals

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Publication:884638
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DOI10.1016/J.AMC.2006.08.075zbMath1112.41025OpenAlexW2057412189MaRDI QIDQ884638

Hany M. Ahmed, Samir A. Ashour

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.075


zbMATH Keywords

orthogonal polynomialsGaussian quadrature rulesfinite part integrals


Mathematics Subject Classification ID

Approximate quadratures (41A55)


Related Items (2)

Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches ⋮ Evaluation of Green's boundary formula and its first- and second-order derivatives in Legendre series




Cites Work

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  • Remarks on the Gaussian quadrature rule for finite-part integrals with a second-order singularity
  • A Gauss quadrature formula for Cauchy type integrals
  • Numerical evaluation of hypersingular integrals
  • On the Gaussian quadrature rule for finite-part integrals with a first-order singularity
  • Evaluations of hypersingular integrals using Gaussian quadrature
  • Calculation of Gauss Quadrature Rules
  • Gauss quadrature rules for finite part integrals




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