20 citations · 29 across the 7 of their papers we have counts for
3 papers · 1 filter
A hybrid mass transport finite element method for Keller-Segel type systems
José Antonio Carrillo, Niklas Kolbe, Mária Lukácová-Medviďová
We propose a new splitting scheme for general reaction-taxis-diffusion systems in one spatial dimension capable to deal with simultaneous concentrated and diffusive regions as well…
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations
V. Bonnaillie-Noël, J. A. Carrillo, T. Goudon +1
In this paper we study the diffusion approximation of a swarming model given by a system of interacting Langevin equations with nonlinear friction. The diffusion approximation requ…
Single to Double Mill Small Noise Transition via Semi-Lagrangian Finite Volume Methods
J. A. Carrillo, A. Klar, A. Roth
We show that double mills are more stable than single mills under stochastic perturbations in swarming dynamic models with basic attraction-repulsion mechanisms. In order to analys…