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On symmetric-conjugate composition methods in the numerical integration of differential equations

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On symmetric-conjugate composition methods in the numerical integration of differential equations

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dc.contributor.author Blanes Zamora, Sergio es_ES
dc.contributor.author Casas, F. es_ES
dc.contributor.author Chartier, P. es_ES
dc.contributor.author Escorihuela-Tomàs, A. es_ES
dc.date.accessioned 2023-03-24T19:01:12Z
dc.date.available 2023-03-24T19:01:12Z
dc.date.issued 2022-07 es_ES
dc.identifier.issn 0025-5718 es_ES
dc.identifier.uri http://hdl.handle.net/10251/192596
dc.description.abstract [EN] We analyze composition methods with complex coefficients exhibiting the so-called ¿symmetry-conjugate¿ pattern in their distribution. In particular, we study their behavior with respect to preservation of qualitative properties when projected on the real axis and we compare them with the usual left-right palindromic compositions. New schemes within this family up to order 8 are proposed and their efficiency is tested on several examples. Our analysis shows that higher-order schemes are more efficient even when time step sizes are relatively large. es_ES
dc.description.sponsorship This work was supported by EPSRC Grant Number EP/R014604/1 and by Ministerio de Ciencia e Innovacion (Spain) through project PID2019-104927GB-C21/AEI/10.13039/501100011033. The fourth author was additionally supported by the predoctoral contract BES-2017-079697 (Spain). es_ES
dc.language Inglés es_ES
dc.publisher American Mathematical Society es_ES
dc.relation.ispartof Mathematics of Computation es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On symmetric-conjugate composition methods in the numerical integration of differential equations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1090/mcom/3715 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104927GB-C21/ES/METODOS DE INTEGRACION GEOMETRICA PARA PROBLEMAS CUANTICOS, MECANICA CELESTE Y SIMULACIONES MONTECARLO I/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EPSRC//EP%2FR014604%2F1/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//PID2019-104927GB-C21//METODOS DE INTEGRACION GEOMETRICA PARA PROBLEMAS CUANTICOS, MECANICA CELESTE Y SIMULACIONES MONTECARLO I/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//BES-2017-079697/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny es_ES
dc.description.bibliographicCitation Blanes Zamora, S.; Casas, F.; Chartier, P.; Escorihuela-Tomàs, A. (2022). On symmetric-conjugate composition methods in the numerical integration of differential equations. Mathematics of Computation. 91(336):1739-1761. https://doi.org/10.1090/mcom/3715 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1090/mcom/3715 es_ES
dc.description.upvformatpinicio 1739 es_ES
dc.description.upvformatpfin 1761 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 91 es_ES
dc.description.issue 336 es_ES
dc.relation.pasarela S\485817 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Engineering and Physical Sciences Research Council, Reino Unido es_ES


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