Name
Abstract | ||
|---|---|---|
We present splitting methods for numerically solving a certain class of explicitly time-dependent linear differential equations. Starting from an efficient method for the autonomous case and making use of the formal solution obtained with the Magnus expansion, we show how to get the order conditions for the non-autonomous case. We also build a family of sixth-order integrators whose performance is clearly superior to previous splitting methods on several numerical examples. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1080/00207160701458567 | Int. J. Comput. Math. |
Keywords | Field | DocType |
non-autonomous linear system,magnus expansion,efficient method,certain class,previous splitting method,present splitting method,formal solution,order condition,splitting methods,non-autonomous systems,numerical example,autonomous case,non-autonomous case,linear differential equation,linear system | Mathematical optimization,Linear system,Mathematical analysis,Magnus expansion,Linear differential equation,Integrator,Mathematics | Journal |
Volume | Issue | ISSN |
84 | 6 | 0020-7160 |
Citations | PageRank | References |
5 | 1.12 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sergio Blanes | 1 | 52 | 10.17 |
| Fernando Casas | 2 | 74 | 18.30 |
| A. Murua | 3 | 110 | 25.21 |