1 citations · 1 across the 2 of their papers we have counts for
5 papers
Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations
Ward Melis, Thomas Rey, Giovanni Samaey
We present high-order, fully explicit projective integration schemes for nonlinear collisional kinetic equations such as the BGK and Boltzmann equation. The methods first take a fe…
Projective integration for nonlinear BGK kinetic equations
Ward Melis, Thomas Rey, Giovanni Samaey
We present a high-order, fully explicit, asymptotic-preserving projective integration scheme for the nonlinear BGK equation. The method first takes a few small (inner) steps with a…
Variance-reduced multiscale simulation of slow-fast stochastic differential equations
Ward Melis, Giovanni Samaey
We study a variance reduction strategy based on control variables for simulating the averaged macroscopic behavior of a stochastic slow-fast system. We assume that this averaged be…
Telescopic projective integration for kinetic equations with multiple relaxation times
Ward Melis, Giovanni Samaey
We study a general, high-order, fully explicit numerical method for simulating kinetic equations with a BGK-type collision model with multiple relaxation times. In that case, the p…
A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws
Pauline Lafitte, Ward Melis, Giovanni Samaey
We present a general, high-order, fully explicit relaxation scheme which can be applied to any system of nonlinear hyperbolic conservation laws in multiple dimensions. The scheme c…