Name
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. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.cam.2017.03.028 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
65L07,65L05,65Z05 | Symplectic manifold,Mathematical analysis,Magnus expansion,Symplectic vector space,Moment map,Symplectic matrix,Symplectic representation,Symplectic integrator,Variational integrator,Mathematics | Journal |
Volume | Issue | ISSN |
330 | C | 0377-0427 |
Citations | PageRank | References |
1 | 0.50 | 4 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Philipp Bader | 1 | 16 | 3.20 |
| S. Blanes | 2 | 42 | 10.47 |
| Fernando Casas | 3 | 74 | 18.30 |
| Nikita Kopylov | 4 | 2 | 0.89 |
| Enrique Ponsoda | 5 | 26 | 7.00 |