LFU:online

Students should obtain a good understanding of the type of problems commonly encountered in plasma physics and how to efficiently solve them numerically. 

High-dimensional problems arise in a number of applications. For example, partial differential equations in the field of quantum mechanics or kinetic equations used in fusion and radiation transport naturally have more than three dimensions. In addition, such problems arise when considering uncertainties or when the parameter space is high-dimensional (as in machine learning). The main issue with high-dimensional problems is the unfavorably scaling of the degrees of freedom with the dimension. The so-called curse of dimensionality. In this course we will cover numerical methods to treat such high-dimensional problems. For example, dynamical low-rank approximation, sparse grids, particle methods. 

Beurteilung aufgrund von regelmäßigen schriftlichen und/oder mündlichen Beiträgen der Teilnehmerinnen und Teilnehmer.

Lehrveranstaltungsprüfung gemäß § 7 Satzungsteil, Studienrechtliche Bestimmungen