Summer Term 2019

This course deals with Model Order Reduction (MOR) for the efficient simulation of large-scale dynamical systems. 

Almost all MOR methods will be introduced and discussed, including both frequency domain and time domain methods: Balanced truncation, moment-matching, rational interpolation, POD, reduced basis method. MOR methods applied to real world problems will be presented in order to highlight the necessity and usefullness of model reduction. [more]

The lecture treats the efficient implementation of numerical algorithms with special focus on modern hardware architectures. Special implementation techniques for Multicore and GPU machines will be presented with higher insight. Distributed computing basics will also be presented. [more]

The seminar covers advanced topics in Scientific Computing in addition to the lecture "Scientific Computing II". The students should get in touch with modern algorithms, parallel programming models and programming languages, and legal problems that might appear when they want to use existing software packages.   [more]

We will study the Lagrangian and Hamiltonian formulations of inviscid fluids and how these geometric structures can be preserved in discretizations. [more]