206 citations · 1.7k across the 107 of their papers we have counts for
5 papers · 2 filters
Exponential Runge-Kutta methods for stiff kinetic equations
Giacomo Dimarco, Lorenzo Pareschi
We introduce a class of exponential Runge-Kutta integration methods for kinetic equations. The methods are based on a decomposition of the collision operator into an equilibrium an…
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
Lorenzo Pareschi, Giuseppe Toscani, Cédric Villani
In this paper we study the numerical passage from the spatially homogeneous Boltzmann equation without cut-off to the Fokker-Planck-Landau equation in the so-called grazing collisi…
Adaptive and Recursive Time Relaxed Monte Carlo methods for rarefied gas dynamics
L. Pareschi, S. Trazzi, B. Wennberg
Recently a new class of Monte Carlo methods, called Time Relaxed Monte Carlo (TRMC), designed for the simulation of the Boltzmann equation close to fluid regimes have been introduc…
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
L. Pareschi, G. Russo
We consider new implicit-explicit (IMEX) Runge-Kutta methods for hyperbolic systems of conservation laws with stiff relaxation terms. The explicit part is treated by a strong-stabi…
Fast conservative and entropic numerical methods for the Boson Boltzmann equation
P. A. Markowitch, L. Pareschi
In this paper we derive accurate numerical methods for the quantum Boltzmann equation for a gas of interacting bosons. The schemes preserve the main physical features of the contin…