Research focus
The Numerical Analysis research group is led by Philipp Öffner and focuses on the numerical treatment of ordinary and partial differential equations, particularly for hyperbolic conservation laws. The studied problems primarily originate from fluid mechanics.
Research Interests
- Numerical Methods for Compressible and Incompressible Flows
- Time Integration Schemes
- Uncertainty Quantification
- Approximation Theory
- Computational Fluid Dynamics (CFD)
- Data-Driven Approaches Integrating Analysis and Data
- Scientific Machine Learning and Scientific Computing
Publication List
More details coming soon.
Projects
- DFG - Research Grant (02/2024 – ongoing): Dissipative Weak Solutions for Non-Viscous Single and Multiphase Flows (~ €207,000)
- DFG - PhD Project within SPP-2410 in collaboration with Prof. Giesselmann (TU Darmstadt) (08/2024 – 11/2027): Dissipative Solutions for the Navier-Stokes-Korteweg System and Their Numerical Treatment (~ €220,000)