Applied Mathematics

The research group focuses on mathematical system theory, particularly model reduction and system identification for structured dynamical systems as well as numerical and multilinear algebra and multilevel optimization. Motivated by applications in mechanics, vibroacoustics, neuroscience, and machine learning, we collaborate widely with partners in Switzerland and abroad.

The research group addresses all aspects of applied mathematics. One research focus is mathematical system theory, with a current emphasis on the development of model reduction and system identification algorithms for structured dynamical systems, such as those with a port-Hamiltonian structure. We consider both systems-theoretic approaches and purely data-driven methods, which we combine, for example, with techniques from harmonic analysis. Our research is strongly numerically oriented. We have a strong expertise in numerical linear and multilinear algebra—in particular, structured and nonlinear eigenvalue problems— as well as numerical optimization, including multilevel methods for high-dimensional problems. Our research is always motivated by applications in the fields such as mechanics, vibroacoustics, computational neuroscience, or machine learning. We work in an interdisciplinary manner with numerous partners both in Switzerland and abroad.