Welcome! I am a PhD student in Computational Mathematics at Linköping University under the supervision of Jan Glaubitz. My research project is at the intersection of scientific machine learning, Bayesian statistics and numerical analysis. I develop trustworthy numerical methods for functions and PDE solutions with jump discontinuities, combined with uncertainty quantification, with the long-term goal of approximately solving hyperbolic conservation laws. I also work on moment methods for the Boltzmann-BGK equation. I published one peer-reviewed paper in the Computer Physics Communications journal and one pre-print to ArXiv, which is currently in the reviewing process. Furthermore, I will soon finish my third article, which will be submitted to a journal and to arXiv.
Jan Habscheid
PhD Student in Computational Mathematics