Variable transformations and Gauss–Legendre quadrature for integrals with endpoint singularities

DOI10.1090/S0025-5718-09-02203-0zbMath1209.65031OpenAlexW2074696668MaRDI QIDQ3055161

Avram Sidi

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02203-0

zbMATH Keywords

numerical examplessingular integralsGauss-Legendre quadraturevariable transformationsendpoint singularitiesEuler-MacLaurin expansions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (3)

Exponential convergence of the \textit{hp}-version of the composite Gauss-Legendre quadrature for integrals with endpoint singularities ⋮ On the convergence rate of Clenshaw-Curtis quadrature for integrals with algebraic endpoint singularities ⋮ The modified composite Gauss type rules for singular integrals using Puiseux expansions

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