Abstract | ||
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Conservative methods for the numerical solution of the Vlasov equation are developed in the context of the one-dimensional splitting. In the case of constant advection, these methods and the traditional semi-Lagrangian ones are proven to be equivalent, but the conservative methods offer the possibility to add adequate filters in order to ensure the positivity. In the non-constant advection case, they present an alternative to the traditional semi-Lagrangian schemes which can suffer from bad mass conservation, in this time splitting setting. |
Year | DOI | Venue |
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2010 | 10.1016/j.jcp.2009.11.007 | Journal of Computational Physics |
Keywords | DocType | Volume |
Vlasov equation,Semi-Lagrangian method,Conservative,Numerical methods | Journal | 229 |
Issue | ISSN | Citations |
6 | 0021-9991 | 54 |
PageRank | References | Authors |
2.88 | 5 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nicolas Crouseilles | 1 | 174 | 22.71 |
Michel Mehrenberger | 2 | 94 | 12.69 |
Eric Sonnendrücker | 3 | 161 | 18.72 |