Research Interests
- High order methods to approximate conservation laws, e.g. Finite Volume, Spectral Element and Discontinuous Galerkin methods
- R-adaptive, Moving Mesh and Arbitrary Eulerian Lagrangian methods
- Summation-by-parts operators and construction of provable entropy stable methods for conservation laws
- A-priori and a-posteriori error estimate theory for high order methods
Education
Oct. 2016 | Dr. rer. nat. in Applied Mathematics, University of Würzburg Thesis title: "Arbitrary Lagrangian-Eulerian Discontinuous Galerkin methods for nonlinear time-dependent first order partial differential equations" Advisor: Prof. Dr. Christian Klingenberg |
Aug. 2012 | Diploma in Mathematics, University of Bielefeld Thesis title: "Approximation nichtlinearer Evolutionsgleichungen" Advisor: Prof. Dr. Etienne Emmrich |
Academic Positions
May 2017 - present: | Postdoctoral Researcher Numerical Simulation Research Group, Division of Mathematics Department of Mathematics and Computer Science, University of Cologne |
Jan. 2013 - Apr. 2017 | Research Assistant Mathematical fluid mechanics, Mathematical Institute, University of Würzburg |