Exact and nonstandard numerical schemes for linear delay differential models
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http://hdl.handle.net/10045/77208
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DC Field | Value | Language |
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dc.contributor | Análisis de Datos y Modelización de Procesos en Biología y Geociencias | es_ES |
dc.contributor | Ecuaciones Diferenciales con Retardo | es_ES |
dc.contributor.author | García Ferrández, Miguel Antonio | - |
dc.contributor.author | Castro, María Ángeles | - |
dc.contributor.author | Martín Alustiza, José Antonio | - |
dc.contributor.author | Rodríguez, Francisco | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemática Aplicada | es_ES |
dc.date.accessioned | 2018-07-09T08:50:51Z | - |
dc.date.available | 2018-07-09T08:50:51Z | - |
dc.date.issued | 2018-12-01 | - |
dc.identifier.citation | Applied Mathematics and Computation. 2018, 338: 337-345. doi:10.1016/j.amc.2018.06.029 | es_ES |
dc.identifier.issn | 0096-3003 (Print) | - |
dc.identifier.issn | 1873-5649 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/77208 | - |
dc.description.abstract | Delay 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.sponsorship | This work was partially funded by grant GRE12-08 from University of Alicante. | es_ES |
dc.language | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | © 2018 Elsevier Inc. | es_ES |
dc.subject | Delay differential equations | es_ES |
dc.subject | Nonstandard finite difference methods | es_ES |
dc.subject | Dynamic consistency | es_ES |
dc.subject.other | Matemática Aplicada | es_ES |
dc.title | Exact and nonstandard numerical schemes for linear delay differential models | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.1016/j.amc.2018.06.029 | - |
dc.relation.publisherversion | https://doi.org/10.1016/j.amc.2018.06.029 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | es_ES |
Appears in Collections: | INV - EDR - Artículos de Revistas INV - MODDE - Artículos de Revistas |
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File | Description | Size | Format | |
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2018_Garcia_etal_ApplMathComp_final.pdf | Versión final (acceso restringido) | 1,74 MB | Adobe PDF | Open Request a copy |
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