Banach Center - Oberwolfach Graduate Seminar — Model Reduction and Approximation: Projection-, Tensor- and Data-based Methods

Many physical, chemical, biomedical, and techni- cal processes can be described by means of partial differential equations or dynamical systems. In recent years, multi-physics and multi-scale prob- lems have become a particular focus of applied mathematical research. A numerical treatment of such problems is usually very time consuming and thus requires the development of efficient discret- ization schemes that are often realized on large parallel computing environments. In addition, these problems often need to be solved repeatedly for many varying parameters, introducing a curse of dimensionality when the solution is also viewed as a function of these parameters. Examples for such situations include design, control, optimiza- tion, inverse problems, uncertainty analysis and statistical sampling.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.