An algorithm for numerical integration based on quasi-interpolating splines
type: Item
instance of: scholarly article
title: An algorithm for numerical integration based on quasi-interpolating splines
zbMATH Open document ID: 0811.65016
DOI: 10.1007/BF02109185
author: V. Demichelis
author: Elisabetta Santi
author: Catterina Dagnino
published in: Numerical Algorithms
publication date: 1995-05-02T00:00:00Z
review text: Quadrature formulae based on quasi-interpolating splines are proposed for the numerical evaluation of integrals with an \(L^ 1\)-kernel and of Cauchy principal value integrals. The suggested scheme imposes no restriction on the order of the splines and very few restrictions on the spacing of the knots. A bound for the quadrature error and a convergence result for continuous functions are given. A description of the numerical algorithm and the computational procedures are presented.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 510219
zbMATH Keywords: error bound
zbMATH Keywords: quadrature formulae
zbMATH Keywords: quasi-interpolating splines
zbMATH Keywords: Cauchy principal value integrals
zbMATH Keywords: convergence
zbMATH Keywords: numerical algorithm
reviewed by: Georgi R. Grozev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 510219