Mathematics of Computational Science (MACS)
The Mathematics of Computational Science (MACS) group develops, analyzes, and implements advanced numerical methods for partial differential equations, with a particular focus on wave propagation, radiation transport, inverse problems, and structure-preserving algorithms. Our research combines high-order accurate discretizations, fast solvers, reduced-order models, and geometric integration techniques to enable reliable and efficient simulations for large-scale and multi-query problems arising in physics, engineering, and the applied sciences. We work closely with international academic and industrial partners and contribute both foundational mathematical advances and open-source software, aiming to bridge rigorous numerical analysis with impactful applications in photonics, imaging, plasma physics, and beyond.
Matthias Schlottbom: Numerical Analysis, Inverse Problems, PDEs, Radiative Transfer Equations
Gregor Gantner: Numerical Analysis of PDEs, Adaptive Finite Element Methods, Boundary Element Methods, Space-Time Methods
Carlos Pérez Arancibia: Scientific Computing, Waves, Integral Equations
Tomasz Tyranowski: Numerical Anaylsis, Geometric Mechanics, (Stochastic) Geometric Integration
Mathematics of Systems Theory (MAST)
The Mathematics of Systems Theory (MAST) group bridges fundamental research in mathematical analysis & mathematical physics and model reduction to applications in control theory. Our research questions typically arise from modelling and manipulating complex physical phenomena, often resulting in infinite-dimensional systems (or "distributed-parameter systems"), e.g. represented by partial differential equations.
Felix Schwenninger: Functional Analysis, Control of PDEs
Frederic Schuller: Quantum Theory, Differential Geometry
Silke Glas: Numerical Analysis, Model reduction
Karsten Kruse: Functional Analysis, Topology
Fulya Kula: University Mathematics Education; Teaching and Learning Approaches
Nathanael Skrepek: Functional Analysis, PDEs