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Applying Splitting Methods With Complex Coefficients To The Numerical Integration Of Unitary Problems

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Applying Splitting Methods With Complex Coefficients To The Numerical Integration Of Unitary Problems

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dc.contributor.author Blanes Zamora, Sergio es_ES
dc.contributor.author Casas, Fernando es_ES
dc.contributor.author Escorihuela-Tomàs, Alejandro es_ES
dc.date.accessioned 2023-09-29T18:04:28Z
dc.date.available 2023-09-29T18:04:28Z
dc.date.issued 2022-04 es_ES
dc.identifier.issn 2158-2491 es_ES
dc.identifier.uri http://hdl.handle.net/10251/197353
dc.description.abstract [EN] We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schriidinger equation. We prove that a particular class of integrators are conjugate to unitary methods for sufficiently small step sizes when applied to problems defined in the group SU(2). In the general case, the error in both the energy and the norm of the numerical approximation provided by these methods does not possess a secular component over long time intervals, when combined with pseudo-spectral discretization techniques in space. es_ES
dc.description.sponsorship Work supported by Ministerio de Ciencia e Innovacion (Spain) through project PID2019-104927GB-C21/AEI/10.13039/501100011033. A.E.-T. has been additionally funded by the pre-doctoral contract BES-2017-079697 (Spain) . es_ES
dc.language Inglés es_ES
dc.publisher American Institute of Mathematical Sciences es_ES
dc.relation.ispartof Journal of Computational Dynamics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Splitting methods es_ES
dc.subject Unitary problems es_ES
dc.subject Complex coefficients es_ES
dc.subject Preservation properties es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Applying Splitting Methods With Complex Coefficients To The Numerical Integration Of Unitary Problems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3934/jcd.2021022 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/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 Cerrado 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.; Escorihuela-Tomàs, A. (2022). Applying Splitting Methods With Complex Coefficients To The Numerical Integration Of Unitary Problems. Journal of Computational Dynamics. 9(2):85-101. https://doi.org/10.3934/jcd.2021022 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3934/jcd.2021022 es_ES
dc.description.upvformatpinicio 85 es_ES
dc.description.upvformatpfin 101 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 9 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\485815 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
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