Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions
type: Item
instance of: scholarly article
title: Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions
zbMATH Open document ID: 1326.41005
author: A. Zidna
author: D. Sbibih
author: A. Serghini
author: A. Tijini
published in: BIT
publication date: 2015-10-19T00:00:00Z
review text: Using the celebrated Powell-Sabin Split, quasi-interpolants with two-dimensional polynomial splines are generated and analysed. Specifically, cubic, continuously differentiable splines are used to construct superconvergent cubic spline quasi-interpolants. The results are to be contrasted with the already known quadratic spline quasi-interpolants with lower convergence orders, partially also on Powell-Sabin Splits. Several numerical examples are offered too.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 6495655
zbMATH Keywords: polar forms
zbMATH Keywords: quasi-interpolation
zbMATH Keywords: splines
zbMATH Keywords: Powell-Sabin partitions
MaRDI profile type: Publication
full work available at URL: s10543-014-0523-z
OpenAlex ID: W2058858874
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DOI: 10.1007/S10543-014-0523-Z
description: scientific article; zbMATH DE number 6495655