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 is an active member of DCSE and moreover co-founder of the TU Delft Quantum Software Cluster (QSC), which is a university-wide initiative to support research and education this future computing technology.
Matthias' main research interests are finite element methods and isogeometric analysis for computational fluid dynamic problems with particular emphasis on high-resolution adaptive schemes for compressible flows and transport problems as well as fast solvers. Since recently he is 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.
Beside the development and analysis of numerical schemes Matthias is also interested in their efficient implementation on heterogeneous multi- and manycore systems and accelerators. His interest in future computing technologies let him to start research on quantum computing and, in particular, on quantum-accelerated numerical linear algebra with the focus on developing quantum solution for practical applications.