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Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics

Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics

Microscopic models of flocking and swarming take into 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 numerically by considering approximated binary interaction dynamics described by kinetic equations and …