Some numerical algorithms to evaluate Hadamard finite-part integrals

DOI10.1016/0377-0427(95)00134-4zbMath0858.65018OpenAlexW2163900016MaRDI QIDQ1919500

Yanyan Li

Publication date: 25 March 1997

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(95)00134-4

zbMATH Keywords

algorithmsconvergencenumerical exampleserror boundsquadratureHadamard finite part integrals

Mathematics Subject Classification ID

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

Related Items

Approximation of the Hilbert Transform on the real line using Hermite zeros, Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications, Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\), Compact numerical quadrature formulas for hypersingular integrals and integral equations, Three-dimensional interfacial Green's functions in anisotropic bimaterials, Numerical computation of hypersingular integrals on the real semiaxis, The numerical evaluation of Cauchy principal value integrals with non-standard weight functions, Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros, Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals

Cites Work

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