Name
Abstract | ||
|---|---|---|
In this work, a splitting strategy is introduced to approximate two-dimensional rotation motions. Unlike standard approaches based on directional splitting which usually lead to a wrong angular velocity and then to large error, the splitting studied here turns out to be exact in time. Combined with spectral methods, the so-obtained numerical method is able to capture the solution to the associated partial differential equation with a very high accuracy. A complete numerical analysis of this method is given in this work. Then, the method is used to design highly accurate time integrators for Vlasov type equations: the Vlasov-Maxwell and the Vlasov-HMF systems. Finally, several numerical illustrations and comparisons with methods from the literature are discussed. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1137/19M1273918 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | DocType | Volume |
splitting,rotation,Vlasov equations,high-order time integrators | Journal | 42 |
Issue | ISSN | Citations |
2 | 1064-8275 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joackim Bernier | 1 | 0 | 0.34 |
| Fernando Casas | 2 | 74 | 18.30 |
| Nicolas Crouseilles | 3 | 0 | 0.34 |