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Splitting and composition methods with embedded error estimators

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Splitting and composition methods with embedded error estimators

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dc.contributor.author Blanes Zamora, Sergio es_ES
dc.contributor.author Casas, Fernando es_ES
dc.contributor.author Thalhammer, Mechthild es_ES
dc.date.accessioned 2020-03-24T06:14:25Z
dc.date.available 2020-03-24T06:14:25Z
dc.date.issued 2019-12 es_ES
dc.identifier.issn 0168-9274 es_ES
dc.identifier.uri http://hdl.handle.net/10251/139243
dc.description.abstract [EN] We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the integrator, so that the additional computational cost required for their evaluation is almost insignificant. These estimators can be subsequently used to adapt the step size along the integration. Numerical examples show the efficiency of the procedure. es_ES
dc.description.sponsorship Part of this work was developed during a research stay at the Wolfgang Pauli Institute Vienna; the authors are grateful to the director Norbert Mauser and the staff members for their support and hospitality. The first two authors acknowledge funding by the Ministerio de Economia 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.ispartof Applied Numerical Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Splitting methods es_ES
dc.subject Composition methods es_ES
dc.subject Error estimators es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Splitting and composition methods with embedded error estimators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.apnum.2019.07.022 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-77660-P/ES/NUEVOS RETOS EN INTEGRACION NUMERICA: FUNDAMENTOS ALGEBRAICOS, METODOS DE ESCISION, METODOS DE MONTECARLO Y OTRAS 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, F.; Thalhammer, M. (2019). Splitting and composition methods with embedded error estimators. Applied Numerical Mathematics. 146:400-415. https://doi.org/10.1016/j.apnum.2019.07.022 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.apnum.2019.07.022 es_ES
dc.description.upvformatpinicio 400 es_ES
dc.description.upvformatpfin 415 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 146 es_ES
dc.relation.pasarela S\402245 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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