| Partial differential equations related to high-dimensional parameter spaces are a major challenge in science, engineering and finance. Here, the well-known curse of dimension prevents an efficient treatment by standard numerical discretization for most of the problems. The resulting enormous computational challenges cannot be met merely by larger computers, but require fundamentally new mathematical and algorithmic ideas. These can only be envisioned by an interdisciplinary attempt which involves modeling, analysis, stochastics and numerics. To this end, we bring together leading experts from these areas. |