Approximation by local \(\mathbb L\)-splines that are exact on subspaces of the kernel of a differential operator
type: Item
instance of: scholarly article
title: Approximation by local \(\mathbb L\)-splines that are exact on subspaces of the kernel of a differential operator
zbMATH Open document ID: 1232.65025
DOI: 10.1134/S0081543811050142
author: E. V. Strelkova
author: Valerii T. Shevaldin
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2011-11-02T00:00:00Z
review text: The authors present a construction of local \(\mathcal L\)-splines. They consider a linear differential operator \(\mathcal L_r\) of order \(r\) with constant real coefficients and real pairwise distinct roots of the characteristic polynomial and they give a local \(\mathcal L\)-spline with uniform knots, which is exact an all functions from the subspaces \(\ker \mathcal{L}_m\), \(m\leq r\). In the second theorem an estimation for the approximation error is given.
reviewed by: Ioana Taşcu
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 5966637
zbMATH Keywords: numerical approximation
zbMATH Keywords: local \(\mathcal{L}\)-splines
zbMATH Keywords: linear differential operators
zbMATH Keywords: error estimates
MaRDI profile type: Publication
cites work: Local spline approximation methods
description: scientific article; zbMATH DE number 5966637