Colloquium: "Models and Data - Challenges and Shortcuts" by Wolfgang DahmenWednesday, February 25, 2015 -
**Refreshments will be served at 3:45pm in the WW room.
Wolfgang Dahmen, RWTH Aachen
The prize for increasing the resolution of the "mathematical microscope“ in science and engineering is to accept more and more refined and hence more complex mathematical models. The complexity stems, for instance, from the range of involved scales but also from the (spatial) dimensionality of the objects to be recovered, very often rendering established numerical simulation techniques infeasible. These obstructions are particularly severe when facing inversion tasks and assimilating data into model-based approaches. Some illustrating examples indicates that even a significantly increased computing power is not a remedy. Instead mathematical "shortcuts“ are called for. We highlight some promising strategies and sketch the underlying ideas, in particular, concerning problems in high spatial dimensions.
Wolfgang Dahmen Feb 25.pdf