Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals

DOI10.1016/S0377-0427(97)00237-9zbMath0926.65026MaRDI QIDQ1128070

Elisabetta Santi, Cattarina Dagnino, Simona Perotto

Publication date: 5 November 1998

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

zbMATH Keywords

convergenceerror boundsCauchy principal value integralstensor product of splines

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

Numerical integration based on trivariate \(C ^{2}\) quartic spline quasi-interpolants ⋮ Peano kernel error analysis for quadratic nodal spline interpolation

Cites Work

• Optimal local spline interpolants
• Local spline approximation methods
• A practical guide to splines
• A convergence result in nodal spline interpolation
• Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals
• Nodal Spline Integration Rules for Certain 2-D Cauchy Principal Value Integrals
• Quasi-interpolatory splines based on Schoenberg points
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals