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dc.contributor.authorBlanes, Sergio
dc.contributor.authorCasas, Fernando
dc.contributor.authorFarrés Basiana, Ariadna
dc.contributor.authorLaskar, Jacques
dc.contributor.authorMakazaga, Joseba
dc.contributor.authorMurua, Ander
dc.date.accessioned2014-06-12T11:53:34Z
dc.date.available2014-06-12T11:53:34Z
dc.date.issued2013-06
dc.identifier.citationBLANES, S.; CASAS PÉREZ, F.; FARRÉS BASIANA, A.; LASKAR, J.; MAKAZAGA, J.; MURUA, A. New families of symplectic splitting methods for numerical integration in dynamical astronomy. Applied Numerical Mathematics, Volume 68 (June 2013), Pages 58–72ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/94710
dc.description.abstractWe present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interested in very accurate results over a large time span. We derive in a systematic way an independent set of necessary and sufficient conditions to be satisfied by the coefficients of splitting methods to achieve a prescribed order of accuracy. Splitting methods satisfying such (generalized) order conditions are appropriate in particular for the numerical simulation of the Solar System described in Jacobi coordinates. We show that, when using Poincaré Heliocentric coordinates, the same order of accuracy may be obtained by imposing an additional polynomial equation on the coefficients of the splitting method. We construct several splitting methods appropriate for each of the two sets of coordinates by solving the corresponding systems of polynomial equations and finding the optimal solutions. The experiments reported here indicate that the efficiency of our new schemes is clearly superior to previous integrators when high accuracy is requiredca_CA
dc.format.extent15 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfApplied Numerical Mathematics, Volume 68 (June 2013)ca_CA
dc.subjectSymplectic integratorsca_CA
dc.subjectSplitting methodsca_CA
dc.subjectNear-integrable systemsca_CA
dc.subjectN-body problemsca_CA
dc.titleNew families of symplectic splitting methods for numerical integration in dynamical astronomyca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1016/j.apnum.2013.01.003
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0168927413000135ca_CA


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