81 citations · 589 across the 46 of their papers we have counts for
3 papers · 2 filters
An efficient numerical method for solving the Boltzmann equation in multidimensions
Giacomo Dimarco, Raphaël Loubère, Jacek Narski +1
In this paper we deal with the extension of the Fast Kinetic Scheme (FKS) [J. Comput. Phys., Vol. 255, 2013, pp 680-698] originally constructed for solving the BGK equation, to the…
A new class of high order semi-Lagrangian schemes for rarefied gas dynamics
Giacomo Dimarco, Cory Hauck, Raphaël Loubère
In this paper we genealize the fast semi-Lagrangian scheme developed in [J. Comput. Phys., Vol. 255, 2013, pp 680-698] to the case of high order reconstructions of the distribution…
Implicit-explicit linear multistep methods for stiff kinetic equations
Giacomo Dimarco, Lorenzo Pareschi
We consider the development of high order asymptotic-preserving linear multistep methods for kinetic equations and related problems. The methods are first developed for BGK-like ki…