Anthony Nouy: Approximation and learning with tree tensor networks - Lecture 1 скачать в хорошем качестве

Anthony Nouy: Approximation and learning with tree tensor networks - Lecture 1

Recorded during the meeting "Data Assimilation and Model Reduction in High Dimensional Problems" the July 21, 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. Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies, Mathematical area