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Gaussian rational quadrature formulas for ill-scaled integrands

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Publication:1035626
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DOI10.1016/J.CAM.2009.02.043zbMath1178.41019OpenAlexW2046969167MaRDI QIDQ1035626

J. R. Illán-González

Publication date: 4 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.043


zbMATH Keywords

smoothing transformationdifficult polesGauss rational quadrature formulameromorphic integrand


Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Simultaneous approximation (41A28)


Related Items (3)

The existence and construction of rational Gauss-type quadrature rules ⋮ Evaluation of finite part integrals using a regularization technique that decreases instability ⋮ Gauss rules associated with nearly singular weights


Uses Software

  • GQRAT
  • OPQ



Cites Work

  • Unnamed Item
  • Convergence and computation of simultaneous rational quadrature formulas
  • Algorithm 793




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