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On the construction of symmetric second order methods for ODEs

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On the construction of symmetric second order methods for ODEs

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dc.contributor.author Blanes Zamora, Sergio es_ES
dc.date.accessioned 2020-03-24T06:14:05Z
dc.date.available 2020-03-24T06:14:05Z
dc.date.issued 2019-12 es_ES
dc.identifier.issn 0893-9659 es_ES
dc.identifier.uri http://hdl.handle.net/10251/139235
dc.description.abstract [EN] We show how to build explicit symmetric second order methods for solving ordinary differential equations. These methods are very useful when low accuracy is required or when higher order ones by extrapolation or composition are desired to reach high accuracy. The proposed schemes are obtained by using simple splitting methods on an extended phase space. By construction, the schemes are symmetric and of second order allowing to recover most well known and frequently used schemes from the literature. This provides a simple proof on their time symmetric structure that is very useful when the schemes are used to get higher order methods by extrapolation or composition. We show how to obtain them in the general case as well as how to get Nystrom methods, methods for stiff problems, Lie group integrators or symplectic integrators, but the technique can also be used to build explicit and implicit methods for many other problems. es_ES
dc.description.sponsorship This work has been funded by Ministerio de Economia, Industria y Competitividad (Spain) through project MTM2016-77660-P (AEI/FEDER, UE). es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD/MTM2016-77660-P es_ES
dc.relation.ispartof Applied Mathematics Letters es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Numerical methods for ODEs es_ES
dc.subject Symmetric second order methods es_ES
dc.subject Extrapolation es_ES
dc.subject Composition methods es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the construction of symmetric second order methods for ODEs es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.aml.2019.05.026 es_ES
dc.rights.accessRights Embargado es_ES
dc.date.embargoEndDate 2022-01-01 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. (2019). On the construction of symmetric second order methods for ODEs. Applied Mathematics Letters. 98:41-48. https://doi.org/10.1016/j.aml.2019.05.026 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.aml.2019.05.026 es_ES
dc.description.upvformatpinicio 41 es_ES
dc.description.upvformatpfin 48 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 98 es_ES
dc.relation.pasarela S\402244 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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