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dc.contributor.authorPérez Palau, Daniel
dc.contributor.authorGómez Muntané, Gerard
dc.contributor.authorMasdemont Soler, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-03-27T06:59:33Z
dc.date.available2020-08-01T00:27:07Z
dc.date.issued2018-08-01
dc.identifier.citationPérez-Palau, D.; Gomez Muntané, G.; Masdemont, J.J. A new subdivision algorithm for the flow propagation using polynomial algebras. "Communications in nonlinear science and numerical simulation", 1 Agost 2018, vol. 61, p. 37-53.
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/2117/130898
dc.description.abstractThe Jet Transport method has emerged as a powerful tool for the numerical integration of ordinary differential equations; it uses polynomial expansions to approximate the flow map associated to the differential equation in the neighbourhood of a reference solution. One of the main drawbacks of the method is that the region of accuracy becomes smaller along the integration. In this paper we introduce a procedure to determine a ball covering the set of given initial conditions that keeps the accuracy of the integration within a selected threshold. The paper gives detailed explanations of the algorithm illustrated with some examples of applicability, as well as a comparison with a previous existing method for the same purpose
dc.format.extent17 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferential equations
dc.subject.lcshPolynomials
dc.subject.lcshAlgebra
dc.subject.lcshAlgorithms
dc.subject.otherJet transport
dc.subject.otherPolynomial algebra
dc.subject.otherSubdivision algorithms
dc.subject.otherODE polynomial propagation
dc.titleA new subdivision algorithm for the flow propagation using polynomial algebras
dc.typeArticle
dc.subject.lemacEquacions diferencials
dc.subject.lemacPolinomis
dc.subject.lemacÀlgebra
dc.subject.lemacAlgorismes
dc.subject.lemacAviació comercial
dc.subject.lemacAeronautics, Commercial
dc.contributor.groupUniversitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.identifier.doi10.1016/j.cnsns.2018.01.013
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S1007570418300194?via%3
dc.rights.accessOpen Access
local.identifier.drac22317190
dc.description.versionPostprint (author's final draft)
local.citation.authorPérez-Palau, D.; Gomez Muntané, Gerard; Masdemont, J.J.
local.citation.publicationNameCommunications in nonlinear science and numerical simulation
local.citation.volume61
local.citation.startingPage37
local.citation.endingPage53


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