Symplectic integrators for second-order linear non-autonomous equations
![Thumbnail](/xmlui/bitstream/handle/10234/173218/JCAM2018.pdf.jpg?sequence=8&isAllowed=y)
View/ Open
Impact
![Google Scholar](/xmlui/themes/Mirage2/images/uji/logo_google.png)
![Microsoft Academico](/xmlui/themes/Mirage2/images/uji/logo_microsoft.png)
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Symplectic integrators for second-order linear non-autonomous equationsDate
2018-03Publisher
ElsevierBibliographic citation
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.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0377042717301516#!Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
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. [-]
Investigation project
Ministerio de Economía y Competitividad, Spain (MTM2013-46553-C3-3-P) ; Generalitat Valenciana (GRISOLIA/2015/A/137)Rights
© 2017 Elsevier B.V. All rights reserved.
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [765]