On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals

DOI10.1137/080723417zbMath1190.65038OpenAlexW2046218167WikidataQ57778838 ScholiaQ57778838MaRDI QIDQ5305951

Daan Huybrechs, Ronald Cools

Publication date: 24 March 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/182880

zbMATH Keywords

error estimatesorthogonal polynomialsnumerical examplesGaussian quadratureChebyshev setsnearly singular integralsmultivariate cubature formulae

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

Exponential convergence of the \textit{hp}-version of the composite Gauss-Legendre quadrature for integrals with endpoint singularities ⋮ Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation ⋮ Local solutions to high-frequency 2D scattering problems ⋮ Convergence analysis and adaptive strategy for the certified quadrature over a set defined by inequalities ⋮ The modified composite Gauss type rules for singular integrals using Puiseux expansions ⋮ On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions

Uses Software

• CUBPACK

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