36 citations · 130 across the 17 of their papers we have counts for
23 papers
Hybrid Kinetic/Fluid numerical method for the Vlasov-Poisson-BGK equation in the diffusive scaling
Tino Laidin, Thomas Rey
This short note presents an extension of the hybrid, model-adaptation method introduced in [T.~Laidin, \textit{arXiv 2202.03696}, 2022] for linear collisional kinetic equations in…
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…
Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures
Rafael Bailo, Thomas Rey
We propose fully explicit projective integration and telescopic projective integration schemes for the multispecies Boltzmann and Bhatnagar-Gross-Krook (BGK) equations. The methods…
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…
Recent development in kinetic theory of granular materials: analysis and numerical methods
Jose Antonio Carrillo, Jingwei Hu, Zheng Ma +1
Over the past decades, kinetic description of granular materials has received a lot of attention in mathematical community and applied fields such as physics and engineering. This…