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Theses
We are always looking for talented and motivated students who want to write a thesis or carry out a term project in Uncertainty Quantification, Scientific Computing or Numerical Analysis. As prerequisite you should have completed a course (e.g. MA5348, MA9804, MA9803) or seminar (Bachelor, Master) offered by the group (see teaching page). Please contact Prof. Ullmann by email for an appointment to discuss possible topics.
PhD Theses
Master's Theses
2022
- Galerkin Neural Networks. Master thesis, 2022 more…
- Consensus-based rare event estimation. , 2022 more…
- Physics-informed Neural Networks in Bayesian Inversion. Master thesis, 2022 more…
- Bayesian Reconstruction and Optimal Experimental Design for Multispectral Optoacoustic Tomography. Master thesis, 2022 more…
- Physics-informed neural networks and finite differences augmented with neural networks for solving differential equations. Master thesis, 2022 more…
2021
- Analysis of the Karhunen-Loève truncation error for rare event estimation. Master thesis, 2021 more…
2018
2017
- Parameterized solution of Karhunen-Loeve Eigenproblems with Reduced Basis Methods in Uncertainty Quantification. Master thesis, 2017 more…
Bachelor's Theses
2022
2021
- Multigrid Methods for the Approximate Solution of Partial Differential Equations. Bachelor thesis, 2021 more…
2020
2019
- Iterative Solvers for Discretized PDEs. Bachelor thesis, 2019 more…
- Approximation of Dynamical Systems with Neural Networks. Bachelor thesis, 2019 more…
- Visual SLAM using artificial visual markers. Bachelor thesis, 2019 more…
- Adaptive Metropolis for Bayesian Inference in Crystallography. Bachelor thesis, 2019 more…
- Efficient Implementation of the Ising Model and Image Denoising. Bachelor thesis, 2019 more…