57 citations · 152 across the 19 of their papers we have counts for
21 papers
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou +2
In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong magnetic field. Whenever the magnetic field has constant intensity…
Highly-oscillatory problems with time-dependent vanishing frequency
Philippe Chartier, Mohammed Lemou, Florian Méhats +1
In the analysis of highly-oscillatory evolution problems, it is commonly assumed that a single frequency is present and that it is either constant or, at least, bounded from below…
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou +2
In this paper, we consider the numerical solution of highly-oscillatory Vlasov and Vlasov-Poisson equations with non-homogeneous magnetic field. Designed in the spirit of recent un…
A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations
Philippe Chartier, Mohammed Lemou, Florian Méhats +1
We introduce a new methodology to design uniformly accurate methods for oscillatory evolution equations. The targeted models are envisaged in a wide spectrum of regimes, from non-s…
A kinetic model for the transport of electrons in a graphene layer
Clotilde Fermanian Kammerer, Florian Méhats
In this article, we propose a new numerical model for computation of the transport of electrons in a graphene device. The underlying quantum model for graphene is a massless Dirac…
Nonlinear stability criteria for the HMF Model
Mohammed Lemou, Ana Maria Luz, Florian Mehats
We study the nonlinear stability of a large class of inhomogeneous steady state solutions to the Hamiltonian Mean Field (HMF) model. Under a simple criterion, we prove the nonlinea…