A note on spline approximation for Hadamard finite-part integrals

DOI10.1016/S0377-0427(96)00155-0zbMath0904.65027OpenAlexW2061930008WikidataQ128201152 ScholiaQ128201152MaRDI QIDQ678812

Annamaria Palamara Orsi

Publication date: 27 April 1997

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00155-0

zbMATH Keywords

stabilityconvergencenumerical examplesspline interpolationHadamard finite-part of hypersingular integralsquadrature product rules

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (4)

Error bounds for spline-based quadrature methods for strongly singular integrals ⋮ A least squares-based approach to evaluating strongly singular integrals ⋮ Gauss rules associated with nearly singular weights ⋮ Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM

Cites Work

• Spline approximations for Cauchy principal value integrals
• On the approximate computation of certain strongly singular integrals
• On the weights of certain quadratures for the numerical evaluation of Cauchy principal value integrals and their derivatives
• The numerical evaluation of Hadamard finite-part integrals
• Product integration for finite-part singular integral equations: Numerical asymptotics and convergence acceleration
• On the numerical integration of certain singular integrals
• Numerical evaluation of hypersingular integrals
• Approximation by spline interpolating bases

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