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Polynomial approximation of nonlinear differential systems with prefixed accuracy

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Polynomial approximation of nonlinear differential systems with prefixed accuracy

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dc.contributor.author Chen Charpentier, Benito Miguel es_ES
dc.contributor.author Jódar Sánchez, Lucas Antonio es_ES
dc.contributor.author Telyakovskiy, Aleksey S. es_ES
dc.date.accessioned 2016-05-23T15:27:33Z
dc.date.available 2016-05-23T15:27:33Z
dc.date.issued 2011-11-01
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/10251/64628
dc.description.abstract This paper presents a method for constructing polynomial approximations of the solutions of nonlinear initial value systems of differential equations. Given an a priori chosen accuracy, the degree of the vector polynomial can be adapted so that the approximate solution has the required precision. The method is based on the AI-method of Dzyadyk developed for the scalar case, and the computational cost is shown to be competitive with other methods. © 2011 Elsevier Inc. All rights reserved. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Applied Mathematics and Computation es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear differential systems es_ES
dc.subject Polynomial approximations es_ES
dc.subject Approximate solution es_ES
dc.subject Computational costs es_ES
dc.subject Initial values es_ES
dc.subject Required precision es_ES
dc.subject Differential equations es_ES
dc.subject Nonlinear equations es_ES
dc.subject Polynomial approximation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Polynomial approximation of nonlinear differential systems with prefixed accuracy es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2011.06.044
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Chen Charpentier, BM.; Jódar Sánchez, LA.; Telyakovskiy, AS. (2011). Polynomial approximation of nonlinear differential systems with prefixed accuracy. Applied Mathematics and Computation. 218(5):1650-1657. doi:10.1016/j.amc.2011.06.044 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.amc.2011.06.044 es_ES
dc.description.upvformatpinicio 1650 es_ES
dc.description.upvformatpfin 1657 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 218 es_ES
dc.description.issue 5 es_ES
dc.relation.senia 211559 es_ES


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