Collective Behavior: Macroscopic versus Kinetic Descriptions

Mean field hierarchies for interacting particle systems: Numerical methods and applications

Axel Klar

Technische Universit├Ąt Kaiserslautern


The talk will present numerical methods for mean field hierarchies derived from interacting particle systems. The hierarchy includes kinetic equations and their hydrodynamic and diffusive approximations. We discuss Semi-Lagrangian methods for the mean field equations and particle methods for the hydrodynamic approximations. Applications to swarming and to pedestrian flow simulations are shown.