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…
physics.comp-ph2010★ 2 cited
Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas
Giacomo Dimarco, Russell Caflisch, Lorenzo Pareschi
We consider the development of Monte Carlo schemes for molecules with Coulomb interactions. We generalize the classic algorithms of Bird and Nanbu-Babovsky for rarefied gas dynamic…