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dc.contributor.author | Blanes Zamora, Sergio | es_ES |
dc.contributor.author | Iserles, Arieh | es_ES |
dc.date.accessioned | 2016-07-20T15:56:29Z | |
dc.date.available | 2016-07-20T15:56:29Z | |
dc.date.issued | 2012-11 | |
dc.identifier.issn | 0923-2958 | |
dc.identifier.uri | http://hdl.handle.net/10251/67911 | |
dc.description.abstract | We consider Sundman and Poincaré transformations for the long-time numerical integration of Hamiltonian systems whose evolution occurs at different time scales. The transformed systems are numerically integrated using explicit symplectic methods. The schemes we consider are explicit symplectic methods with adaptive time steps and they generalise other methods from the literature, while exhibiting a high performance. The Sundman transformation can also be used on non-Hamiltonian systems while the Poincaré transformation can be used, in some cases, with more efficient symplectic integrators. The performance of both transformations with different symplectic methods is analysed on several numerical examples. | es_ES |
dc.description.sponsorship | Sergio Blanes acknowledges the support of the Ministerio de Ciencia e Innovacion (Spain) under the coordinated project MTM2010-18246-C03 (co-financed by the ERDF of the European Union) | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Springer Verlag (Germany) | es_ES |
dc.relation.ispartof | Celestial Mechanics and Dynamical Astronomy | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Symplectic integrators | es_ES |
dc.subject | Adaptive time step | es_ES |
dc.subject | Hamiltonian systems | es_ES |
dc.subject | Sundman transformation | es_ES |
dc.subject | Poincaré transformation | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Explicit adaptive symplectic integrators for solving Hamiltonian systems | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s10569-012-9441-z | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2010-18246-C03/ | es_ES |
dc.rights.accessRights | Cerrado | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Blanes Zamora, S.; Iserles, A. (2012). Explicit adaptive symplectic integrators for solving Hamiltonian systems. Celestial Mechanics and Dynamical Astronomy. 114(3):297-317. https://doi.org/10.1007/s10569-012-9441-z | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s10569-012-9441-z | es_ES |
dc.description.upvformatpinicio | 297 | es_ES |
dc.description.upvformatpfin | 317 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 114 | es_ES |
dc.description.issue | 3 | es_ES |
dc.relation.senia | 235378 | es_ES |
dc.identifier.eissn | 1572-9478 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
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