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Shishkin meshes in the numerical solution of singularly perturbed differential equations

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dc.contributor.author Kopteva, Natalia
dc.contributor.author O'Riordan, Eugene
dc.date.accessioned 2017-03-14T15:38:37Z
dc.date.available 2017-03-14T15:38:37Z
dc.date.issued 2010
dc.identifier.issn 1705-5105
dc.identifier.uri http://hdl.handle.net/10344/5612
dc.description peer-reviewed en_US
dc.description.abstract This article reviews some of the salient features of the piecewise-uniform Shishkin mesh. The central analytical techniques involved in the associated numerical analysis are explained via a particular class of singularly perturbed differential equations. A detailed discussion of the Shishkin solution decomposition is included. The generality of the numerical approach introduced by Shishkin is highlighted. The impact of Shishkin's ideas on the field of singularly perturbed differential is assessed in this selective review of his research output over the past thirty years. en_US
dc.language.iso eng en_US
dc.publisher Institute for Scientific Computing and Informaton en_US
dc.relation.ispartofseries Internatonal Journal of Numerical Analysis and Modeling;7 (3), pp. 393-415
dc.relation.uri http://www.math.ualberta.ca/ijnam/Volume7.htm
dc.rights © Institute for Scientific Computing and Informaton en_US
dc.subject singularly perturbed problems en_US
dc.subject Shishkin mesh en_US
dc.subject Shishkin solution decomposition en_US
dc.title Shishkin meshes in the numerical solution of singularly perturbed differential equations en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.date.updated 2017-03-10T15:05:07Z
dc.description.version Published
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 1132522
dc.internal.copyrightchecked Yes
dc.identifier.journaltitle International Journal of Numerical Analysis and Modeling
dc.description.status peer-reviewed


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