Product integration of logarithmic singular integrands based on cubic splines

DOI10.1016/0377-0427(84)90010-4zbMath0551.65009OpenAlexW2073062800MaRDI QIDQ800686

D. Eyre, Ayse Alaylioglu, Doron S. Lubinsky

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90010-4

zbMATH Keywords

comparisonChebyshev polynomialserror boundscubic B-splinesproduct quadrature rules

Mathematics Subject Classification ID

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

Related Items (15)

Numerical integration based on quasi-interpolating splines ⋮ Spline-Gauss rules and the Nyström method for solving integral equations in quantum scattering ⋮ Bivariate quasi-interpolating splines with applications in numerical integration ⋮ Product integration of piecewise continuous integrands based on cubic spline interpolation at equally spaced nodes ⋮ On the uniform convergence of Cauchy principal values of quasi-interpolating splines ⋮ On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines ⋮ Numerical integration based on trivariate \(C ^{2}\) quartic spline quasi-interpolants ⋮ Spline approximations for Cauchy principal value integrals ⋮ On the convergence of spline product quadratures for Cauchy principal value integrals ⋮ Product integration of singular integrands based on cubic spline interpolation at equally spaced nodes ⋮ On the evaluation of one-dimensional Cauchy principal value integrals by rules based on cubic spline interpolation ⋮ Numerical integration based on approximating splines ⋮ Spline product quadrature rules for Cauchy singular integrals ⋮ A product quadrature algorithm by Hermite interpolation ⋮ An algorithm for numerical integration based on quasi-interpolating splines

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