Improved convergence rates for some discrete Galerkin methods
type: Item
instance of: scholarly article
title: Improved convergence rates for some discrete Galerkin methods
zbMATH Open document ID: 0873.65119
published in: Journal of Integral Equations and Applications
publication date: 1997-10-30T00:00:00Z
review text: Making use of an argument analogous to that of \textit{S. Joe} [IMA J. Numer. Anal. 7, 149-164 (1987; Zbl 0628.65132)] for spline approximations, the estimate of the convergence rate is improved from \(O(n^{-r+1})\) to \(O(n^{-r +{1 \over 2}})\) where \(n\) is the degree of the polynomial approximation.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 1005456
zbMATH Keywords: Cauchy singular equations
zbMATH Keywords: discrete Galerkin method
zbMATH Keywords: spline approximations
zbMATH Keywords: convergence
zbMATH Keywords: polynomial approximation
author: M. A. Golberg
reviewed by: Chuangan Hu
describes a project that uses: LAPLAC
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/jiea/1181075955
OpenAlex ID: W1985571217
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DOI: 10.1216/JIEA/1181075955
description: scientific article; zbMATH DE number 1005456