Title
Conservative semi-Lagrangian schemes for Vlasov equations
Abstract
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
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 Crouseilles117422.71
Michel Mehrenberger29412.69
Eric Sonnendrücker316118.72