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dc.creatorArrarás Ventura, Andréses_ES
dc.creatorPortero Egea, Lauraes_ES
dc.date.accessioned2020-09-16T11:21:45Z
dc.date.available2020-09-16T11:21:45Z
dc.date.issued2015
dc.identifier.issn0096-3003
dc.identifier.urihttps://hdl.handle.net/2454/38103
dc.description.abstractIn this work, we study time-splitting strategies for the numerical approximation of evolutionary reaction–diffusion problems. In particular, we formulate a family of domain decomposition splitting methods that overcomes some typical limitations of classical alternating direction implicit (ADI) schemes. The splitting error associated with such methods is observed to be O(t2) in the time step. In order to decrease the size of this splitting error to O(t3), we add a correction term to the right-hand side of the original formulation. This procedure is based on the improved initialization technique proposed by Douglas and Kim in the framework of ADI methods. The resulting non-iterative schemes reduce the global system to a collection of uncoupled subdomain problems that can be solved in parallel. Computational results comparing the newly derived algorithms with the Crank–Nicolson scheme and certain ADI methods are presented.en
dc.description.sponsorshipThis work was partially supported by MICINN Grant MTM2010-21037.en
dc.format.extent21 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofApplied Mathematics and Computation, 2015, 267, 294-303en
dc.rights© 2015 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAlternating direction impliciten
dc.subjectDomain decompositionen
dc.subjectPartition of unityen
dc.subjectSplitting erroren
dc.subjectTime-splitting methoden
dc.titleImproved accuracy for time-splitting methods for the numerical solution of parabolic equationsen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Ingeniería Matemática e Informáticaes_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Sailaeu
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.identifier.doi10.1016/j.amc.2015.03.073
dc.relation.publisherversionhttps://doi.org/10.1016/j.amc.2015.03.073
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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© 2015 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0.
Except where otherwise noted, this item's license is described as © 2015 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0.