Numerical Linear Algebra for Dynamical Systems
Prof. Martin Stoll
Major Research Interests
Partial differential equations (PDE) are an ubiquitous mathematical tool for modeling many real-world phenomena. Our group investigates fast and robust solvers for the accurate solution of discretized PDEs. We in particular investigate the use of iterative methods of Krylov-subspace type in combination with tailored preconditioners. For this we require a thourough numerical analysis combined with modern software. Additionally, we are interested in reducing the storage complexity of time-dependent PDEs and optimization problems with PDE constraints. Recently, we have focused our efforts on the solution of so-called phase-field problems, fractional differential equations, and problems from uncertainty quantification.
Current PhD students in the IMPRS program
(Jun 21, 2016)
(Nov. 30, 2018)