Martensen splines and finite-part integrals

DOI10.1007/s11075-014-9921-1zbMath1323.65018OpenAlexW1967414524MaRDI QIDQ494662

Matteo Sciarra, Vittoria Demichelis

Publication date: 1 September 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2318/149947

zbMATH Keywords

comparison of methodsquadrature rulenumerical testHadamard finite-part integralmidpoint ruleHermite-type polynomial splineMartensen splineNewton-Cotes rulesSimpson rulespline quadrature

Mathematics Subject Classification ID

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

Related Items (1)

Smoothness and error bounds of Martensen splines

Cites Work

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• Martensen splines
• Darstellung und Entwicklung des Restgliedes der Gregoryschen Quadraturformel mit Hilfe von Spline-Funktionen
• The superconvergence of the composite midpoint rule for the finite-part integral
• Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
• Uniform Convergence Results for Cauchy Principal Value Integrals

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