Symplectic integrators for second-order linear non-autonomous equations
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Altres documents de l'autoria: Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda, Enrique
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Symplectic integrators for second-order linear non-autonomous equationsData de publicació
2018-03Editor
ElsevierCita bibliogràfica
BADER, Philipp, et al. Symplectic integrators for second-order linear non-autonomous equations. Journal of Computational and Applied Mathematics, 2018, vol. 330, p. 909-919.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S0377042717301516#!Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
Two families of symplectic methods specially designed for second-order time-dependent linear systems are presented. Both are obtained from the Magnus expansion of the corresponding first-order equation, but otherwise ... [+]
Two families of symplectic methods specially designed for second-order time-dependent linear systems are presented. Both are obtained from the Magnus expansion of the corresponding first-order equation, but otherwise they differ in significant aspects. The first family is addressed to problems with low to moderate dimension, whereas the second is more appropriate when the dimension is large, in particular when the system corresponds to a linear wave equation previously discretised in space. Several numerical experiments illustrate the main features of the new schemes. [-]
Proyecto de investigación
Ministerio de Economía y Competitividad, Spain (MTM2013-46553-C3-3-P) ; Generalitat Valenciana (GRISOLIA/2015/A/137)Drets d'accés
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