Convergence and stability in collocation methods of equation \(u'(t) = au(t) + bu([t])\)
type: Item
instance of: scholarly article
title: Convergence and stability in collocation methods of equation \(u'(t) = au(t) + bu([t])\)
zbMATH Open document ID: 1264.65127
DOI: 10.1155/2012/125926
author: Han Yan
author: Shufang Ma
author: Yanbin Liu
author: Hongquan Sun
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: This paper is concerned with the convergence, global superconvergence, local superconvergence, and stability of collocation methods for \(u'(t) = au(t) + bu([t])\). The optimal convergence order and superconvergence order are obtained, and the stability regions for the collocation methods are determined. The conditions that the analytic stability region is contained in the numerical stability region are obtained, and some numerical experiments are given.
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 6169841
MaRDI profile type: Publication
Wikidata QID: Q58905719
full work available at URL: https://doi.org/10.1155/2012/125926
OpenAlex ID: W1529683189
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DBLP publication ID: journals/jam/YanMLS12
description: scientific article; zbMATH DE number 6169841