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dc.contributor.authorSánchez Umbría, Juan
dc.contributor.authorNet Marcé, Marta
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física Aplicada
dc.date.accessioned2013-06-04T14:52:59Z
dc.date.created2013-06
dc.date.issued2013-06
dc.identifier.citationSanchez, J.; Net, M. A parallel algorithm for the computation of invariant tori in large-scale dissipative systems. "Physica. D, Nonlinear phenomena", Juny 2013, vol. 252, p. 22-33.
dc.identifier.issn0167-2789
dc.identifier.urihttp://hdl.handle.net/2117/19504
dc.description.abstractA parallelizable algorithm to compute invariant tori of high-dimensional dissipative systems, obtained upon discretization of PDEs is presented. The size of the set of equations to be solved is only a small multiple of the dimension of the original system. The sequential and parallel implementations are compared with a previous method (Sánchez et al. (2010)) [11], showing that important savings in wall-clock time can be achieved. In order to test it, a thermal convection problem of a binary mixture of fluids has been used. The new method can also be applied to problems with very low rotation numbers, for which the previous is not suitable. This is tested in two examples of two-dimensional maps.
dc.format.extent12 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::Física
dc.subject.lcshParallel algorithms
dc.subject.lcshContinuation methods
dc.subject.otherInvariant tori
dc.subject.otherParallel algorithms
dc.subject.otherContinuation methods
dc.subject.otherGeneralized Poincaré maps
dc.subject.otherVariational equations
dc.subject.otherNewton–Krylov methods
dc.titleA parallel algorithm for the computation of invariant tori in large-scale dissipative systems
dc.typeArticle
dc.subject.lemacAlgorismes paral·lels
dc.subject.lemacMètodes de continuació
dc.contributor.groupUniversitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids
dc.identifier.doi10.1016/j.physd.2013.02.008
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0167278913000572
dc.rights.accessRestricted access - publisher's policy
drac.iddocument12465067
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
upcommons.citation.authorSanchez, J.; Net, M.
upcommons.citation.publishedtrue
upcommons.citation.publicationNamePhysica. D, Nonlinear phenomena
upcommons.citation.volume252
upcommons.citation.startingPage22
upcommons.citation.endingPage33
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