Quadrature rules with multiple nodes for evaluating integrals with strong singularities

DOI10.1016/J.CAM.2005.05.021zbMath1086.41014OpenAlexW2050772814WikidataQ115058784 ScholiaQ115058784MaRDI QIDQ818234

Miodrag M. Spalević, Gradimir V. Milovanović

Publication date: 24 March 2006

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.2005.05.021

zbMATH Keywords

Cauchy principal valueerror estimatecontour integral representationremainder term for analytic functions\(\sigma \)-orthogonal polynomialsfinite part integral in sense of Hadamardquadratures with multiple nodes

Mathematics Subject Classification ID

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

Related Items (8)

On uniform approximations to hypersingular finite-part integrals ⋮ Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ Numerical computation of hypersingular integrals on the real semiaxis ⋮ Numerical steepest descent method for Hankel type of hypersingular oscillatory integrals in electromagnetic scattering problems ⋮ Monotonicity of the error term in Gauss-Turán quadratures for analytic function ⋮ The error norm of quadrature formulae ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ The Remainder Term of Gauss–Turán Quadratures for Analytic Functions

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