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
Carlos Pérez Arancibia: Scientific Computing, Waves, Integral Equations
Tomasz Tyranowski: Numerical Anaylsis, Geometric Mechanics, (Stochastic) Geometric Integration