Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass
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Otros documentos de la autoría: Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita
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Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent massFecha de publicación
2019-04Editor
ElsevierCita bibliográfica
BADER, Philipp, et al. Novel symplectic integrators for the Klein–Gordon equation with space-and time-dependent mass. Journal of Computational and Applied Mathematics, 2019, 350: 130-138.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0377042718306186Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
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 ... [+]
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. [-]
Proyecto de investigación
Ministerio de Economía, Industria y Competitividad (Spain) (MTM2016-77660-P (AEI/FEDER, UE)); Generalitat Valenciana GRISOLIA/2015/A/137).Derechos de acceso
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