Felix-Klein-Kolloquium: Structure-preserving deep neural networks to accelerate the solution of the Boltzmann equation

We present how artificial neural networks can be used to substitute the otherwise costly computation of the Boltzmann collision operator, a nonlinear integral operator modeling collisions between particles in gases. In large scale simulations, this operator needs to be evaluated in each spatial cell at every time step. Specifically, we study how network architectures can be designed that exactly capture crucial analytical properties ot the operator. Of particular interest will be entropy decay, which is related to the Second Law of Thermodynamics. Furthermore, we address the question of data sampling. Several numerical results will be shown.

Referent: Prof. Dr. Martin Frank, Karlsruher Institut für Technologie (KIT)

Zeit: 17:15 - 18:30 Uhr

Ort: Gebäude 48, Raum 210

Die Vorträge des Felix-Klein-Kolloquiums finden jeweils um 17:15 Uhr im Raum 210 des Mathematik-Gebäudes 48 statt. Zuvor gibt es ab 16.45 Uhr die Gelegenheit, die Sprecherin oder den Sprecher beim Kolloquiumstee in Raum 580 zu treffen.