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math.AP2014★ 24 cited
A Boltzmann model for rod alignment and schooling fish
Eric a. Carlen, Maria C. Carvalho, Pierre Degond +1
We consider a Boltzmann model introduced by Bertin, Droz and Greegoire as a binary interaction model of the Vicsek alignment interaction. This model considers particles lying on th…
math.AP2004
Lattice Points on Circles and Discrete Velocity Models for the Boltzmann Equation
L. Fainsilber, P. Kurlberg, B. Wennberg
The construction of discrete velocity models or numerical methods for the Boltzmann equation, may lead to the necessity of computing the collision operator as a sum over lattice po…