Felix Klein Colloquium: 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.

Speaker: Prof. Dr. Martin Frank, Karlsruhe Institute for Technology (KIT), Germany

Time: 17:15 - 18:30 o'clock

Place: Building 48, room 210

The lectures of the Felix Klein Colloquium will be held at 17:15 in room 210 of the Mathematics Building 48. Beforehand - from 16:45 - there will be an opportunity to meet the speaker at the colloquium tea in room 580.