Differential-algebraic equations (DAEs) are combinations of differential and algebraic equations. They are a common tool to model all kind of dynamical processes. In this lecture we discuss general aspects of the analytical and the particularly challenging numerical treatment of DAEs. [more]

This course deals with Model Order Reduction (MOR) for the efficient simulation, analysis, control, and optimization of large-scale dynamical systems. A large variety of MOR methods will be introduced and discussed, including both frequency-domain and time-domain methods. MOR methods applied to real-world problems will be presented in order to highlight the necessity and usefulness 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 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]