Exact and nonstandard numerical schemes for linear delay differential models

Please use this identifier to cite or link to this item: http://hdl.handle.net/10045/77208
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dc.contributorAnálisis de Datos y Modelización de Procesos en Biología y Geocienciases_ES
dc.contributorEcuaciones Diferenciales con Retardoes_ES
dc.contributor.authorGarcía Ferrández, Miguel Antonio-
dc.contributor.authorCastro, María Ángeles-
dc.contributor.authorMartín Alustiza, José Antonio-
dc.contributor.authorRodríguez, Francisco-
dc.contributor.otherUniversidad de Alicante. Departamento de Matemática Aplicadaes_ES
dc.date.accessioned2018-07-09T08:50:51Z-
dc.date.available2018-07-09T08:50:51Z-
dc.date.issued2018-12-01-
dc.identifier.citationApplied Mathematics and Computation. 2018, 338: 337-345. doi:10.1016/j.amc.2018.06.029es_ES
dc.identifier.issn0096-3003 (Print)-
dc.identifier.issn1873-5649 (Online)-
dc.identifier.urihttp://hdl.handle.net/10045/77208-
dc.description.abstractDelay differential models present characteristic dynamical properties that should ideally be preserved when computing numerical approximate solutions. In this work, exact numerical schemes for a general linear delay differential model, as well as for the special case of a pure delay model, are obtained. Based on these exact schemes, a family of nonstandard methods, of increasing order of accuracy and simple computational properties, is proposed. Dynamic consistency of the new nonstandard methods are proved, and illustrated with numerical examples, for asymptotic stability, positive preserving properties, and oscillation behaviour.es_ES
dc.description.sponsorshipThis work was partially funded by grant GRE12-08 from University of Alicante.es_ES
dc.languageenges_ES
dc.publisherElsevieres_ES
dc.rights© 2018 Elsevier Inc.es_ES
dc.subjectDelay differential equationses_ES
dc.subjectNonstandard finite difference methodses_ES
dc.subjectDynamic consistencyes_ES
dc.subject.otherMatemática Aplicadaes_ES
dc.titleExact and nonstandard numerical schemes for linear delay differential modelses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.peerreviewedsies_ES
dc.identifier.doi10.1016/j.amc.2018.06.029-
dc.relation.publisherversionhttps://doi.org/10.1016/j.amc.2018.06.029es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccesses_ES
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