The research group «Applied Mathematics» mainly develops numerical methods for control system design. We consider mathematical tools for system analysis but also for the efficient design of controllers and system optimization.
Hereby, we focus on problems in which the dynamics of the underlying process is very complex. In this case methods from model order reduction have to be applied in order to deal with the massive computational complexity. We also develop new model reduction algorithms with a focus on the preservation of system structures arising from the physics of the process under consideration.
The group is further active in numerical linear algebra, especially in developing and implementing efficient methods for structured and nonlinear eigenvalue problems as well as for linear systems of equations arising in engineering applications. Our work is application-driven and we cooperate with many partners in interdisciplinary projects.