Lawson methods for Vlasov equations (Nicolas Crouseilles, Inria Rennes)

Séminaire « Analyse numérique et équations aux dérivées partielles »
Salle de séminaire du M3

In this work, Lawson type numerical methods are studied to solve Vlasov type
 equations on a phase space grid. These time integrators are known to satisfy enhanced stability
 properties in this context since they do not suffer from the stability condition induced from the
 linear part. We also introduce here a class of modified Lawson integrators in which the linear part is
 approximated in such a way that some geometric properties of the underlying model are preserved,
 which has important consequences for the analysis of the scheme. Several examples
 are presented to illustrate the good behavior of the approach. 

This work has been performed in collaboration with Benjamin Boutin (IRMAR, Rennes), Anaïs Crestetto (LMJL, Nantes) and Josselin Garnier (CMAP, Ecole Polytechnique). 

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