5 citations · 6 across the 2 of their papers we have counts for
3 papers
math.NA2014★ 5 cited
Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator
Emmanuel Frenod, Sever Hirstoaga, Mathieu Lutz
We change a previous time-stepping algorithm for solving a multi-scale Vlasov-Poisson system within a Particle-In-Cell method, in order to do accurate long time simulations. As an…
physics.plasm-ph2013
On the Geometrical Gyro-Kinetic Theory
Emmanuel Frénod, Mathieu Lutz
Considering a Hamiltonian Dynamical System describing the motion of charged particle in a Tokamak or a Stellarator, we build a change of coordinates to reduce its dimension. This c…
math.FA2011★ 1 cited
The Gyro-Kinetic Approximation. An attempt at explaining the method based on Darboux Algorithm and Lie Transform
Emmanuel Frenod, Mathieu Lutz
This Proceeding presents the method that allows us to get the Gyro-Kinetic Approximation of the Dynamical System satisfied by the trajectory of a particle submitted to a Strong Mag…