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High order efficient splittings for the semiclassical time-dependent Schrodinger equation

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High order efficient splittings for the semiclassical time-dependent Schrodinger equation

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dc.contributor.author Blanes Zamora, Sergio es_ES
dc.contributor.author Gradinaru, Vasile es_ES
dc.date.accessioned 2021-03-12T04:31:16Z
dc.date.available 2021-03-12T04:31:16Z
dc.date.issued 2020-03-15 es_ES
dc.identifier.issn 0021-9991 es_ES
dc.identifier.uri http://hdl.handle.net/10251/163757
dc.description.abstract [EN] Standard numerical schemes with time-step h deteriorate (e.g. like epsilon(-2)h(2)) in the presence of a small semiclassical parameters in the time-dependent Schrodinger equation. The recently introduced semiclassical splitting was shown to be of order O (epsilon h(2)). We present now an algorithm that is of order O (epsilon h(7)+epsilon(2)h(6)+epsilon(3)h(4)) at the expense of roughly three times the computational effort of the semiclassical splitting and another that is of order O (epsilon h(6)+epsilon(2)h(4)) at the same expense of the computational effort of the semiclassical splitting. es_ES
dc.description.sponsorship The work of SB 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.ispartof Journal of Computational Physics es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Semiclassical es_ES
dc.subject Time-dependent Schrodinger equation es_ES
dc.subject Splitting es_ES
dc.subject Wavepackets es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title High order efficient splittings for the semiclassical time-dependent Schrodinger equation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jcp.2019.109157 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.; Gradinaru, V. (2020). High order efficient splittings for the semiclassical time-dependent Schrodinger equation. Journal of Computational Physics. 405:1-13. https://doi.org/10.1016/j.jcp.2019.109157 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.jcp.2019.109157 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 13 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 405 es_ES
dc.relation.pasarela S\428760 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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