Orateur
M.
Bastien Grosse
Description
We present a fully spectral scheme in both space and velocity for an inhomogeneous kinetic equation on the real axis. The collision operator admits several conservation laws, and their number depends on the harmonicity of the potential phi. Our scheme is based upon a projection on Hermite polynomials in velocity and on orthonormal polynomials with respect to the weight exp(-phi) in space. For a polynomial potential phi, the scheme preserves every conservation laws and hypocercivity. If there is time, we will talk about approximation by orthonormal polynomials associated with an exponential weight.
