A multiscale meshfree method for macroscopic approximations of interacting particle systems

A multiscale meshfree particle method for macroscopic mean field approximations of interacting particle models is developed. The method is working for a large range of interaction parameters. The well resolved case for large interaction radius, as well as underresolved diffusive situations with small values of the interaction radius, are treated. There are various applications of the method to more complicated problems, for example, in swarming or pedestrian flow simulation.