Research Group Scientific Computing & Uncertainty Quantification

The group of Prof. Ullmann focuses on Uncertainty Quantification for PDE-based models. The goal of our work is the design and analysis of efficient algorithms and estimators for PDEs with random inputs. To this end we use tools from Numerical Analysis, Data Science and Computational Science and Engineering.

Topics

  • Uncertainty analysis, uncertainty propagation
  • Multilevel estimators
  • Reliability analysis and rare events
  • Statistical (Bayesian) inverse problems
  • Model-based machine learning

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