Mostra el registre d'ítem simple
A new subdivision algorithm for the flow propagation using polynomial algebras
dc.contributor.author | Pérez Palau, Daniel |
dc.contributor.author | Gómez Muntané, Gerard |
dc.contributor.author | Masdemont Soler, Josep |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-03-27T06:59:33Z |
dc.date.available | 2020-08-01T00:27:07Z |
dc.date.issued | 2018-08-01 |
dc.identifier.citation | Pérez-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.issn | 1007-5704 |
dc.identifier.uri | http://hdl.handle.net/2117/130898 |
dc.description.abstract | The 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.extent | 17 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Differential equations |
dc.subject.lcsh | Polynomials |
dc.subject.lcsh | Algebra |
dc.subject.lcsh | Algorithms |
dc.subject.other | Jet transport |
dc.subject.other | Polynomial algebra |
dc.subject.other | Subdivision algorithms |
dc.subject.other | ODE polynomial propagation |
dc.title | A new subdivision algorithm for the flow propagation using polynomial algebras |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.subject.lemac | Polinomis |
dc.subject.lemac | Àlgebra |
dc.subject.lemac | Algorismes |
dc.subject.lemac | Aviació comercial |
dc.subject.lemac | Aeronautics, Commercial |
dc.contributor.group | Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC |
dc.identifier.doi | 10.1016/j.cnsns.2018.01.013 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1007570418300194?via%3 |
dc.rights.access | Open Access |
local.identifier.drac | 22317190 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Pérez-Palau, D.; Gomez Muntané, Gerard; Masdemont, J.J. |
local.citation.publicationName | Communications in nonlinear science and numerical simulation |
local.citation.volume | 61 |
local.citation.startingPage | 37 |
local.citation.endingPage | 53 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.234]
-
Articles de revista [137]