Matthias Möller is Associate Professor in the Department of Applied Mathematics section Numerical Analysis at TU Delft. He is working in the interdisciplinary field of Computational Science and Engineering (CSE), which brings together applied mathematics, computer sciences, and engineering disciplines to solve challenging real-world problems. Research in this rapidly developing multidisciplinary field at TU Delft is clustered in the TU Delft Institute for Computational Science and Engineering (DCSE).
Matthias' main research interests are finite element methods and isogeometric analysis for computational fluid dynamic problems with particular emphasis on high-resolution adaptive schemes and fast solvers for compressible flows and transport problems. Beside the development and analysis of numerical schemes he is also interested in their efficient implementation on heterogeneous multi- and manycore systems and accelerators. His interest in next-generation computing technologies let him to start research on quantum computing and, in particular, quantum-accelerated numerical linear algebra. Since recently Matthias is actively working in the field of hybrid mesh-particle methods, with special emphasis on the material point method, which could be extended towards higher-order approximations by using ideas from isogeometric analysis.