81 citations · 589 across the 46 of their papers we have counts for
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Macroscopic models of collective motion with repulsion
Pierre Degond, Giacomo Dimarco, Thi Bich Ngoc Mac +1
We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by…
Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles
Pierre Degond, Giacomo Dimarco, Thi Bich Ngoc Mac
We consider an Individual-Based Model for self-rotating particles interacting through local alignment and investigate its macroscopic limit. This model describes self-propelled par…
Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation
Giacomo Dimarco, Raphaël Loubere
In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation ope…
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…