4 papers · 1 filter
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…
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation
Lorenzo Pareschi, Thomas Rey
Spectral methods, thanks to the high accuracy and the possibility of using fast algorithms, represent an effective way to approximate collisional kinetic equations in kinetic theor…
On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation
Lorenzo Pareschi, Thomas Rey
Spectral methods, thanks to the high accuracy and the possibility to use fast algorithms, represent an effective way to approximate the Boltzmann collision operator. On the other h…
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
Marianne Bessemoulin-Chatard, Maxime Herda, Thomas Rey
In this article, we are interested in the asymptotic analysis of a finite volume scheme for one dimensional linear kinetic equations, with either Fokker-Planck or linearized BGK co…