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Splitting methods in the numerical integration of non-autonomous dynamical systems

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Splitting methods in the numerical integration of non-autonomous dynamical systems

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Nombre: 2012RACSAM.pdf
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dc.contributor.author Blanes Zamora, Sergio es_ES
dc.contributor.author Casas Perez, Fernando es_ES
dc.contributor.author Murua, Ander es_ES
dc.date.accessioned 2018-03-23T13:24:03Z
dc.date.available 2018-03-23T13:24:03Z
dc.date.issued 2012 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/99661
dc.description.abstract [EN] We present a procedure leading to efficient splitting schemes for the time integration of explicitly time dependent partitioned linear differential equations arising when certain partial differential equations are previously discretized in space. In the first stage we analyze the order conditions of the corresponding autonomous problem and construct new 6th-order methods. In the second stage, by following a procedure previously designed by the authors, we generalize the methods to the time dependent case in such a way that no order reduction is present. The resulting schemes compare favorably with other integrators previously available. es_ES
dc.description.sponsorship This work has been supported by Ministerio de Ciencia e Innovacion (Spain) under project MTM2007-61572(co-financed by the ERDF of the European Union). SB also acknowledges financial support from Generalitat Valenciana through project GV/2009/032.
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Splitting methods es_ES
dc.subject Time-dependent problems es_ES
dc.subject Geometric integrators es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Splitting methods in the numerical integration of non-autonomous dynamical systems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-011-0024-8 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Generalitat Valenciana//GV%2F2009%2F032/ES/Desarrollo de integradores geométricos adaptados a ecuaciones diferenciales con diferentes escalas de tiempo/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MEC//MTM2007-61572/ES/ALGORITMOS DE INTEGRACION GEOMETRICA. TEORIA Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto 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.; Casas Perez, F.; Murua, A. (2012). Splitting methods in the numerical integration of non-autonomous dynamical systems. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 106(1):49-66. https://doi.org/10.1007/s13398-011-0024-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s13398-011-0024-8 es_ES
dc.description.upvformatpinicio 49 es_ES
dc.description.upvformatpfin 66 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 106 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\235380 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
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