Interpolation by multidimensional periodic splines
type: Item
instance of: scholarly article
title: Interpolation by multidimensional periodic splines
zbMATH Open document ID: 0682.41017
DOI: 10.1016/0021-9045(88)90114-1
author: Willi Freeden
published in: Journal of Approximation Theory
publication date: 1988-01-01T00:00:00Z
review text: Let \(\Lambda\) be a non-degenerate lattice in the Euclidean space \(R^ q\). The author defines the notion of \(\Lambda\)-periodic multidimensional spline function associated to a differential operator of elliptic type and studies the problem of interpolation of \(\Lambda\)-periodic functions by splines of this type. The interpolation process is simply and efficient for numerical purposes. It is proved that any \(\Lambda\)- periodic function in \(R^ q\) can be approximated with a given accuracy by \(\Lambda\)-periodic splines such that the approximation error vanishes at a prescribed finite set of knots.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 4117136
zbMATH Keywords: periodic multidimensional spline function
describes a project that uses: LINPACK
MaRDI profile type: Publication
full work available at URL: 0021-9045(88)90114-1
OpenAlex ID: W1979964602
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description: scientific article; zbMATH DE number 4117136