57 citations · 152 across the 19 of their papers we have counts for
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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…
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou +1
This work is devoted to the numerical simulation of nonlinear Schrödinger and Klein-Gordon equations. We present a general strategy to construct numerical schemes which are uniform…
An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit
Christophe Besse, Rémi Carles, Florian Méhats
We consider the semiclassical limit for the nonlinear Schrodinger equation. We introduce a phase/amplitude representation given by a system similar to the hydrodynamical formulatio…