IWR's Research Settings
The research field of IWR is a unique combination of expertise and scientific excellence in mathematical and computational methods. The interplay of mathematical and computational methods with challenging problem areas of the sciences and engineering has just began and so we expect that IWR's research arena will grow fast.
The graph above, that serves as an example, explains how future application fields and methods of scientific computing are discovered. The horizontal bars stand for the research areas of IWR generically. Here, theoretical foundations are designed. These theories build the basis for the application areas (vertical bars) in sciences and engineering.
This combination gives rise to a multitude of synergetic effects, as you can see. For example: Many urgent problems in environmental physics can be solved by combining methods of image processing with PDE-based simulation and optimization. The predections of cell tissue behavior, or the water movement in soils, as well as the signaling within the cells and cell networks is possible by using multi-scale models and PDE-based simulations. For achieving advances in deriving structure-function relationships for biomolecules or advanced materials, multi-scale modeling and simulation techniques are urgently needed. One more example: computer vision and probabilistic models will be used for the exploration of image libraries acquired in the computational humanities.
All these application fields mentioned above need scientific software development and visualization techniques. And so IWR works on these challenges, too.