14 citations · 35 across the 6 of their papers we have counts for
8 papers
On Deterministic Numerical Methods for the Quantum Boltzmann-Nordheim Equation. I. Spectrally Accurate Approximations, Bose-Einstein Condensation, Fermi-Dirac Saturation
Alexandre Mouton, Thomas Rey
Spectral methods, thanks to their high accuracy and the possibility to use fast algorithms, represent an effective way to approximate the collisional kinetic equations of Boltzmann…
Expansion of a singularly perturbed equation with a two-scale converging convection term
Alexandre Mouton
In many physical contexts, evolution convection equations may present some very large amplitude convective terms. As an example, in the context of magnetic confinement fusion, the…
Numerical resolution of an anisotropic non-linear diffusion problem
Stéphane Brull, Fabrice Deluzet, Alexandre Mouton
This paper is devoted to the numerical resolution of an anisotropic non-linear diffusion problem involving a small parameter \varepsilon, defined as the anisotropy strength recipro…
Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field
Nicolas Crouseilles, Emmanuel Frenod, Sever Hirstoaga +1
In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum o…
Asymptotic-Preserving scheme for a bi-fluid Euler-Lorentz model
Stéphane Brull, Pierre Degond, Fabrice Deluzet +1
The present work is devoted to the simulation of a strongly magnetized plasma considered as a mixture of an ion fluid and an electron fluid. For the sake of simplicity, we assume t…
Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates
Alexandre Mouton, Emmanuel Frenod
In this paper, we present some new results about the approximation of the Vlasov-Poisson system with a strong external magnetic field by the 2D finite Larmor radius model. The proo…
Two-scale semi-lagrangian simulation of a charged particle beam in a periodic focusing channel
Alexandre Mouton
This paper is devoted to numerical simulation of a charged particle beam submitted to a strong oscillating electric field. For that, we consider a two-scale numerical approach as f…
Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations
Emmanuel Frénod, Alexandre Mouton, Eric Sonnendrücker
Motivated by the difficulty to solve numerically the weakly compressible 1D isentropic Euler equations with classical methods, we develop in this paper a two scale numerical method…