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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. Masterarbeit, 2022 mehr…
- Consensus-based rare event estimation. , 2022 mehr…
- Physics-informed Neural Networks in Bayesian Inversion. Masterarbeit, 2022 mehr…
- Bayesian Reconstruction and Optimal Experimental Design for Multispectral Optoacoustic Tomography. Masterarbeit, 2022 mehr…
- Physics-informed neural networks and finite differences augmented with neural networks for solving differential equations. Masterarbeit, 2022 mehr…
2021
- Analysis of the Karhunen-Loève truncation error for rare event estimation. Masterarbeit, 2021 mehr…
2018
2017
- Parameterized solution of Karhunen-Loeve Eigenproblems with Reduced Basis Methods in Uncertainty Quantification. Masterarbeit, 2017 mehr…
Bachelor's Theses
2024
- Iterative methods and preconditioners for discretized partial differential equations. Bachelorarbeit, 2024 mehr…
2022
2021
- Multigrid Methods for the Approximate Solution of Partial Differential Equations. Bachelorarbeit, 2021 mehr…
2020
2019
- Iterative Solvers for Discretized PDEs. Bachelorarbeit, 2019 mehr…
- Approximation of Dynamical Systems with Neural Networks. Bachelorarbeit, 2019 mehr…
- Visual SLAM using artificial visual markers. Bachelorarbeit, 2019 mehr…
- Adaptive Metropolis for Bayesian Inference in Crystallography. Bachelorarbeit, 2019 mehr…
- Efficient Implementation of the Ising Model and Image Denoising. Bachelorarbeit, 2019 mehr…