Topic MethodsCopyright: RWTH Aachen
The term methods means a systematic procedure or a mathematically based approach leading to useful solutions for a large number of problems or a formalized approach that turned out to be appropriate and successful. There are universal concepts in the area of numerical simulations that can be applied to a variety of problems such as finite-element or finite-volume methods, iterative solvers for sparse matrices, and methods to couple scale-based phenomena. These approaches differ from those which have been defined in topics like data, modeling, and computing, that are associated with physical theories in terms of more fundamental research. They are primarily used as a universal mathematical tool in numerical simulations.
Topic Methods in the Profile Area
The thematic breadth of the Methods theme area leads to the intended thematic overlaps with the three other areas of data, modeling and computing, on the one hand, and allows for a scientific focus on promising, universal methods on the other. In the future, the following research fields will be of great importance in method development:
- Reduced-Order Modeling (mathematically based)
- Uncertainty Quantification
- Real-time control
- Discrete/continuous optimization of large scale systems
- Discretization Methods/Algorithms
These topics, which can only be dealt with successfully on an interdisciplinary basis, have the potential to set decisive impulses in the research areas of energy, environment and mobility and further emphasize the research orientation of RWTH in terms of sustainability and scientific excellence.