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math-ph2013
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…
math.NA2013★ 15 cited
Implicit-Explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors
G. Dimarco, L. Pareschi, V. Rispoli
In this paper we develop a class of Implicit-Explicit Runge-Kutta schemes for solving the multi-scale semiconductor Boltzmann equation. The relevant scale which characterizes this…