278 citations · 3.1k across the 101 of their papers we have counts for
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All speed scheme for the low mach number limit of the Isentropic Euler equation
Pierre Degond, Min Tang
An all speed scheme for the Isentropic Euler equation is presented in this paper. When the Mach number tends to zero, the compressible Euler equation converges to its incompressibl…
Congestion in a macroscopic model of self-driven particles modeling gregariousness
Pierre Degond, Laurent Navoret, Richard Bon +1
We analyze a macroscopic model with a maximal density constraint which describes short range repulsion in biological systems. This system aims at modeling finite-size particles whi…
The Moment Guided Monte Carlo Method
Pierre Degond, Giacomo Dimarco, Lorenzo Pareschi
In this work we propose a new approach for the numerical simulation of kinetic equations through Monte Carlo schemes. We introduce a new technique which permits to reduce the varia…
A Multiscale Kinetic-Fluid Solver with Dynamic Localization of Kinetic Effects
Pierre Degond, Giacomo Dimarco, Luc Mieussens
This paper collects the efforts done in our previous works [P. Degond, S. Jin, L. Mieussens, A Smooth Transition Between Kinetic and Hydrodynamic Equations, J. Comp. Phys., 209 (20…
The Vlasov model under large magnetic fields in the low-Mach number regime
Pierre Degond, Sever Hirstoaga, Marie-Hélène Vignal
This article is concerned with the kinetic modeling, by means of the Vlasov equation, of charged particles under the influence of a strong external electromagnetic field, i.e. when…