An efficient algorithm for periodic Hermite spline interpolation with shifted nodes
type: Item
instance of: scholarly article
title: An efficient algorithm for periodic Hermite spline interpolation with shifted nodes
zbMATH Open document ID: 0803.65009
DOI: 10.1007/BF02109283
published in: Numerical Algorithms
publication date: 1995-01-02T00:00:00Z
review text: This paper considers the problem of generalized Hermite spline interpolation with periodic splines of defect 2 on an equidistant lattice. By means of a new generalization of Euler-Frobenius polynomials, a simple representation of the fundamental splines is given. Furthermore, an efficient algorithm is obtained for the computation of the Hermite spline interpolant. As a special case the classic periodic Hermite spline interpolation with shifted interpolation nodes is obtained as well.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 510189
zbMATH Keywords: Hermite spline interpolation
zbMATH Keywords: periodic splines
zbMATH Keywords: Euler-Frobenius polynomials
zbMATH Keywords: efficient algorithm
zbMATH Keywords: shifted interpolation nodes
author: Gerlind Plonka
reviewed by: Xinghua Wang
MaRDI profile type: Publication
cites work: Schoenberg's exponential Euler spline curves
cites work: Zur Konstruktion periodischer Hermite-Interpolationssplines bei äquidistanter Knotenverteilung. (On the construction of periodic interpolation Hermite splines with equidistant knots)
cites work: Periodic spline interpolation with shifted nodes
cites work: Efficient Algorithms for Periodic Hermite Spline Interpolation
cites work: Q3469658
full work available at URL: https://doi.org/10.1007/bf02109283
OpenAlex ID: W1990207770
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description: scientific article; zbMATH DE number 510189