- -

Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods

RiuNet: Institutional repository of the Polithecnic University of Valencia

Share/Send to

Cited by

Statistics

Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods

Show simple item record

Files in this item

dc.contributor.author Blanes Zamora, Sergio es_ES
dc.date.accessioned 2016-07-20T15:49:41Z
dc.date.available 2016-07-20T15:49:41Z
dc.date.issued 2015-08
dc.identifier.issn 0010-4655
dc.identifier.uri http://hdl.handle.net/10251/67910
dc.description.abstract We consider the numerical integration of perturbed non-autonomous oscillatory systems using high order methods. The autonomous case has been efficiently integrated using explicit and symplectic Runge–Kutta–Nyström (RKN) methods like extended RKN methods, exponentially fitting RKN methods and splitting methods for perturbed systems. Recently, it has been shown that explicit and symplectic extended RKN methods and exponentially fitting RKN methods are equivalent (Wu et al., 2012) and in this work we show that these methods are also equivalent to splitting methods for perturbed oscillators. We provide a constructive proof which at the same time allows us to build for the first time new explicit and symplectic extended RKN methods for the non-autonomous problem (for multidimensional time dependent frequencies). The new methods obtained, while built from splitting methods, are different in the treatment of the time-dependent terms and can be superior in some cases. We build some new methods and show their performance on numerical examples. es_ES
dc.description.sponsorship The author acknowledges the Ministerio de Economia y Competitividad (Spain) for financial support through the coordinated project MTM2013-46553-C3-3-P. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Computer Physics Communications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Perturbednon-autonomous oscillatory systems es_ES
dc.subject Splitting methods es_ES
dc.subject Extended RKN methods es_ES
dc.subject Exponentially fitted RKN methods Subir es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cpc.2015.03.011
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-46553-C3-3-P/ES/METODOS DE ESCISION Y COMPOSICION EN INTEGRACION NUMERICA GEOMETRICA. TEORIA Y APLICACIONES/ 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. (2015). Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods. Computer Physics Communications. 193:10-18. https://doi.org/10.1016/j.cpc.2015.03.011 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.cpc.2015.03.011 es_ES
dc.description.upvformatpinicio 10 es_ES
dc.description.upvformatpfin 18 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 193 es_ES
dc.relation.senia 303752 es_ES
dc.identifier.eissn 1879-2944
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


This item appears in the following Collection(s)

Show simple item record