In our team we are primarily engaged in the development and application of highly efficient simulation codes for use in the design and interpretation of experiments in fusion research. These activities are focused on plasma transport in the boundary layer of tokamaks and stellarators, as well as plasma-wall interaction. This numerical work is always combined with an intensive theoretical foundation in the field of plasma physics, i.e. mathematical derivation and analysis of models of particle and energy transport, the associated plasma instabilities, the radiation processes in the plasma and the processes in wall materials when high-energy plasma particles hit the wall. Globally established simulation codes such as EMC3, EIRENE and SOLPS-ITER are used within the framework of international collaborations. In the further development of these codes, we are now also touching on some areas of artificial intelligence and machine learning.