As Numerical Analysis and Scientific Computing group we develop and analyse numerical methods, primarily for partial differential equations.
Our main focus is on developing efficient and robust numerical schemes, for example by means of structure preservation. For such schemes we deal with convergence analysis and both a priori and a posteriori error estimates. In situations of uncertain data we investigate techniques for uncertainty quantification and data assimilation that can be incorporated in numerical schemes.
Efficiency can be enhanced by model reduction as well as adaptivity, both on the level of the model and on the level of the mesh.
Most partial differential equations we work on are coming from fluid dynamics.
Applications include for example gas networks, compressible Euler equations and non-Newtonian fluids. Also partial differential equations from other fields such as electrodynamics, geothermics, medicine and biology are considered.
We invite you to find out more about our research interests and activities.
