Tag Archives: Kinetic models

Mean field control hierarchy

Giacomo Albi, Young-Pil Choi, Massimo Fornasier, and Dante Kalise (01/08/2016  arxiv.org/abs/1608.01728) In this paper we model the role of a government of a large population as a mean field optimal control problem. Such control problems are constrainted by a PDE … Continue reading

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Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamics

Giacomo Albi, Lorenzo Pareschi (27 /09/2012 arXiv:1210.1172) In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal … Continue reading

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Binary interaction algorithms for the simulation of flocking and swarming dynamics

Giacomo Albi, Lorenzo Pareschi (04/03/2012 arXiv:1203.0721) Microscopic models of flocking and swarming takes in account large numbers of interacting individuals. Numerical resolution of large flocks implies huge computational costs. Typically for $N$  interacting individuals we have a cost of $O(N^2)$. We tackle the problem … Continue reading

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