Nodal Spline Integration Rules for Certain 2-D Cauchy Principal Value Integrals

DOI10.1080/00207160211926zbMath1028.65014OpenAlexW2085723674MaRDI QIDQ4780534

Vittoria Demichelis, Cattarina Dagnino

Publication date: 11 January 2004

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160211926

zbMATH Keywords

convergencenumerical examplesquadrature rulesCauchy principal value integralnodal spline approximation

Mathematics Subject Classification ID

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

Related Items (2)

Computational Aspects Of Numerical Integration Based On Optimal Nodal Splines ⋮ Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals

Cites Work

• Optimal local spline interpolants
• Error bounds for spline-based quadrature methods for strongly singular integrals
• The numerical evaluation of principal value integrals by finite-part integration
• Local spline approximation methods
• A convergence result in nodal spline interpolation
• Application of approximating splines for the solution of Cauchy singular integral equations
• Convergence of derivatives of optimal nodal splines
• Numerical integration of 2-D integrals based on local bivariate \(C^1\) quasi-interpolating splines

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