On the optimal convergence
type: Item
instance of: scholarly article
title: On the optimal convergence
zbMATH Open document ID: 0762.65050
DOI: 10.4171/ZAA/620
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1993-02-04T00:00:00Z
review text: Two three-point difference schemes are proposed for the numerical solution of a singularly perturbed boundary value problem \(-\varepsilon u''+p(x)u=f(x)\), \(u(0)=A\), \(u(1)=B\), \(0<\varepsilon\leq 1\), \(p,f\in C^ 2[0,1]\). The pointwise error estimation is \(O(\min(h^ 2,\varepsilon))\), the global one is \(O(h^ 2)\) where \(h\) is the step size of the discretization.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 110388
zbMATH Keywords: optimal convergence
zbMATH Keywords: three-point difference schemes
zbMATH Keywords: singularly perturbed boundary value problem
zbMATH Keywords: error estimation
author: Mirjana Stojanović
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/620
OpenAlex ID: W774240270
description: scientific article; zbMATH DE number 110388