Bader, P.; Blanes Zamora, S.; Casas, F.; Kopylov, N. (2019). Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. Journal of Computational and Applied Mathematics. 350:130-138. https://doi.org/10.1016/j.cam.2018.10.011
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/139767
Title:
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Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass
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Author:
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Bader, Philipp
Blanes Zamora, Sergio
Casas, Fernando
Kopylov, Nikita
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] We consider the numerical time-integration of the non-stationary Klein-Gordon equation with position- and time-dependent mass. A novel class of time-averaged symplectic splitting methods involving double commutators ...[+]
[EN] We consider the numerical time-integration of the non-stationary Klein-Gordon equation with position- and time-dependent mass. A novel class of time-averaged symplectic splitting methods involving double commutators is analyzed and 4th- and 6th-order integrators are obtained. In contrast with standard splitting methods (that contain negative coefficients if the order is higher than two), additional commutators are incorporated into the schemes considered here. As a result, we can circumvent this order barrier and construct high order integrators with positive coefficients and a much reduced number of stages, thus improving considerably their efficiency. The performance of the new schemes is tested on several examples.
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Subjects:
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Klein-Gordon equation
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Time-dependent mass
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Second-order linear differential equations
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Symplectic integrators
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Magnus expansion
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Journal of Computational and Applied Mathematics. (issn:
0377-0427
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DOI:
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10.1016/j.cam.2018.10.011
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Publisher:
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Elsevier
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Publisher version:
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https://doi.org/10.1016/j.cam.2018.10.011
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Project ID:
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info:eu-repo/grantAgreement/GVA//GRISOLIA%2F2015%2FA%2F137/
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/
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Thanks:
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This work has been funded by Ministerio de Economia, Industria y Competitividad (Spain) through project MTM2016-77660-P (AEI/FEDER, UE). Kopylov has also been partly supported by grant GRISOLIA/2015/A/137 from the Generalitat ...[+]
This work has been funded by Ministerio de Economia, Industria y Competitividad (Spain) through project MTM2016-77660-P (AEI/FEDER, UE). Kopylov has also been partly supported by grant GRISOLIA/2015/A/137 from the Generalitat Valenciana.
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Type:
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Artículo
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