Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902265 | Journal of Computational and Applied Mathematics | 2018 | 15 Pages |
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 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Philipp Bader, Sergio Blanes, Fernando Casas, Nikita Kopylov, Enrique Ponsoda,