Johannes Schmidt-Hieber: Statistical theory for deep neural networks - lecture 1

Recorded during the meeting "Data Assimilation and Model Reduction in High Dimensional Problems" the July 22, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Luca Récanzone

A kinetic description of a plasma in external and self-consistent fields is given by the Vlasov equation for the particle distribution functions coupled to Maxwell's equation. Numerical schemes that preserve the structure of the kinetic equations can provide new insights into the long time behavior of fusion plasmas. In this talk, I
will present a structure-preserving particle-in-cell scheme for the Vlasov-Maxwell equations based on a finite difference description of the fields. Moreover, I will discuss the parallel implementation of this method based on the AMReX framework. This is joint work with Irene Garnelo and Eric Sonnendrücker.