Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
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Title
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent massDate
2019-04Publisher
ElsevierBibliographic citation
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.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0377042718306186Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
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. [-]
Investigation project
Ministerio de Economía, Industria y Competitividad (Spain) (MTM2016-77660-P (AEI/FEDER, UE)); Generalitat Valenciana GRISOLIA/2015/A/137).Rights
© 2018 Elsevier B.V. All rights reserved.
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