Quantum Systems: A Mathematical Journey from Few to Many Particles

Asymptotic preserving schemes for collisional kinetic equations

Lorenzo Pareschi

University of Ferrara
[SLIDES]

In this talk we present some recent advances on the development of high order asymptotic-preserving (AP) schemes for collisional kinetic equations. We discuss the AP paradigm in the context of Implicit-Explicit Runge-Kutta and multistep methods. Applications to quantum kinetic equations are also presented.