Collective Behavior: Macroscopic versus Kinetic Descriptions

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

Axel Klar

Technische Universität 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.