Computational Aspects Of Numerical Integration Based On Optimal Nodal Splines

DOI10.1080/00207160304674zbMath1022.65026OpenAlexW2009837186MaRDI QIDQ4805938

Vittoria Demichelis, Cattarina Dagnino

Publication date: 30 October 2003

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

Full work available at URL: https://doi.org/10.1080/00207160304674

zbMATH Keywords

condition numberquadrature formulasHadamard finite part integraloptimal nodal splines

Mathematics Subject Classification ID

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

Cites Work

• Numerical integration based on approximating splines
• Optimal local spline interpolants
• The numerical evaluation of principal value integrals by finite-part integration
• Local spline approximation methods
• A convergence result in nodal spline interpolation
• Convergence of derivatives of optimal nodal splines
• On the uniform convergence of Cauchy principal values of quasi-interpolating splines
• Numerical integration based on quasi-interpolating splines
• Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
• Nodal Spline Integration Rules for Certain 2-D Cauchy Principal Value Integrals

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