81 citations · 589 across the 46 of their papers we have counts for
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math.NA2010★ 28 cited
Fluid Simulations with Localized Boltzmann Upscaling by Direct Simulation Monte-Carlo
Pierre Degond, Giacomo Dimarco
In the present work, we present a novel numerical algorithm to couple the Direct Simulation Monte Carlo method (DSMC) for the solution of the Boltzmann equation with a finite volum…
math.NA2010
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…