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Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes

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dc.contributor.author Kopteva, Natalia
dc.date.accessioned 2017-05-04T11:01:15Z
dc.date.available 2017-05-04T11:01:15Z
dc.date.issued 2001
dc.identifier.uri http://hdl.handle.net/10344/5770
dc.description peer-reviewed en_US
dc.description.abstract We consider two convection-diffusion boundary value problems in conservative form: for an ordinary differential equation and for a parabolic equation. Both the problems are discretized using a four-point second-order upwind space difference operator on arbitrary and layer-adapted space meshes. We give ɛ-uniform maximum norm error estimates O(N−2ln2N(+τ)) and O(N−2(+τ)), respectively, for the Shishkin and Bakhvalov space meshes, where N is the space meshnodes number, τ is the time meshinterval. The smoothness condition for the Bakhvalov mesh is replaced by a weaker condition. en_US
dc.language.iso eng en_US
dc.publisher Springer en_US
dc.relation.ispartofseries Computing;66 (2), pp. 179-197
dc.relation.uri http://dx.doi.org/10.1007/s006070170034
dc.rights The original publication is available at www.springerlink.com en_US
dc.subject convection-diffusion problems en_US
dc.subject four-point upwind difference scheme en_US
dc.subject Shishkin mesh en_US
dc.subject Bakhvalov mesh en_US
dc.title Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes 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 2017-04-28T13:45:19Z
dc.description.version ACCEPTED
dc.identifier.doi 10.1007/s006070170034
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 1116420
dc.internal.copyrightchecked Yes
dc.identifier.journaltitle COMPUTING
dc.description.status peer-reviewed


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