Acceleration of Gauss-Legendre quadrature for an integrand with an endpoint singularity
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Publication:674433
DOI10.1016/S0377-0427(96)00131-8zbMath0871.65017MaRDI QIDQ674433
Publication date: 19 August 1997
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
convergence accelerationRichardson extrapolationGauss-Legendre quadratureasymptotic expansion of the errorendpoint singularity
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Remainders in approximation formulas (41A80)
Related Items
The practical Gauss type rules for Hadamard finite-part integrals using Puiseux expansions, Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation, On the convergence rate of Clenshaw-Curtis quadrature for integrals with algebraic endpoint singularities, Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations, Convergence acceleration during the 20th century, Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities, The modified composite Gauss type rules for singular integrals using Puiseux expansions, Convergence acceleration of the Gauss-Laguerre quadrature formula
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