Error bounds for spline-based quadrature methods for strongly singular integrals

DOI10.1016/S0377-0427(97)00245-8zbMath0908.41022MaRDI QIDQ1128072

Kai Diethelm

Publication date: 10 August 1998

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

zbMATH Keywords

error boundsfinite-part integrals

Mathematics Subject Classification ID

Spline approximation (41A15) Approximate quadratures (41A55) Remainders in approximation formulas (41A80)

Related Items (4)

Nodal Spline Integration Rules for Certain 2-D Cauchy Principal Value Integrals ⋮ Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs ⋮ Approximating the singular integrals of Cauchy type with weight function on the interval ⋮ Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges

Cites Work

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• Numerical evaluation of hypersingular integrals
• Convergence of derivatives of optimal nodal splines
• An algorithm for the numerical solution of differential equations of fractional order
• Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals
• Numerical integration based on quasi-interpolating splines
• Generalized compound quadrature formulae for finite-part integrals
• An asymptotic analysis of two algorithms for certain Hadamard finite-part integrals

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