Histopolating splines
type: Item
instance of: scholarly article
title: Histopolating splines
zbMATH Open document ID: 1152.41008
author: Ralf Siewer
published in: Journal of Computational and Applied Mathematics
publication date: 2008-08-22T00:00:00Z
review text: This paper studies the problem of histopolation or piecewise area matching to a given function. A general procedure is proposed in order to construct a spline solution of degree \(n\) with prescribed knots, such that polynomials of degree \(n\) are reproduced and the corresponding fundamental functions are compactly supported. In the case of equidistant knot sequences, it is shown that the fundamental histosplines are translates of a fixed function. The general method is illustrated with two types of histopolating splines: one based on the nodal splines of J.M. de Villiers and C.H. Rohwer, the other on a spline operator introduced by D.X. Qi.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 5315427
zbMATH Keywords: splines
zbMATH Keywords: histopolation
zbMATH Keywords: interpolation
reviewed by: Aurelian Bejancu
MaRDI profile type: Publication
full work available at URL: j.cam.2007.09.014
OpenAlex ID: W2914023051
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DOI: 10.1016/J.CAM.2007.09.014
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description: scientific article; zbMATH DE number 5315427