Using discrete uniformity property in a mixed algebraic method
type: Item
instance of: scholarly article
title: Using discrete uniformity property in a mixed algebraic method
zbMATH Open document ID: 1056.65008
author: D. Scaramelli
author: Costanza Conti
author: Rossana Morandi
published in: Applied Numerical Mathematics
publication date: 2004-08-06T00:00:00Z
review text: An important problem in multivariate approximation schemes consists in the choice of knots and of the control points used in the tensor product. Starting with a mixed algebraic method based on a transfinite Hermite-type interpolant scheme and a B-spline tensor product method, the authors discuss about the choice of the B-splines knots and of the control points used in the tensor product. The choices are detailed in Section 3, where a discrete `uniformity' property to control the grid spacing is discussed. Section 4 contains some numerical examples which put in evidence how the grid spacing can be controlled by means of the discrete uniformity property.
reviewed by: Dan Bărbosu
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 2083303
zbMATH Keywords: numerical grid generation
zbMATH Keywords: uniformity property
zbMATH Keywords: grid spacing
zbMATH Keywords: control points
zbMATH Keywords: multivariate approximation
zbMATH Keywords: transfinite Hermite-type interpolant scheme
zbMATH Keywords: B-spline tensor product method
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.apnum.2003.12.013
OpenAlex ID: W2050095508
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cites work: Q4888882
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cites work: Q5451959
cites work: Handbook of grid generation
DOI: 10.1016/J.APNUM.2003.12.013
description: scientific article; zbMATH DE number 2083303