206 citations · 1.7k across the 107 of their papers we have counts for
5 papers · 2 filters
Exponential Runge-Kutta schemes for inhomogeneous Boltzmann equations with high order of accuracy
Qin Li, Lorenzo Pareschi
We consider the development of exponential methods for the robust time discretization of space inhomogeneous Boltzmann equations in stiff regimes. Compared to the space homogeneous…
Asymptotic preserving Implicit-Explicit Runge-Kutta methods for non linear kinetic equations
G. Dimarco, L. Pareschi
We discuss Implicit-Explicit (IMEX) Runge Kutta methods which are particularly adapted to stiff kinetic equations of Boltzmann type. We consider both the case of easy invertible co…
High order asymptotic-preserving schemes for the Boltzmann equation
Giacomo Dimarco, Lorenzo Pareschi
In this note we discuss the construction of high order asymptotic preserving numerical schemes for the Boltzmann equation. The methods are based on the use of Implicit-Explicit (IM…
Implicit-Explicit Runge-Kutta schemes for numerical discretization of optimal control problems
Michael Herty, Lorenzo Pareschi, Sonja Steffensen
Implicit-explicit (IMEX) Runge-Kutta methods play a major rule in the numerical treatment of differential systems governed by stiff and non-stiff terms. This paper discusses order…
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation
Clément Mouhot, Lorenzo Pareschi, Thomas Rey
Discrete-velocity approximations represent a popular way for computing the Boltzmann collision operator. The direct numerical evaluation of such methods involve a prohibitive cost,…