The non-associativity of translations in a quantum system with magnetic field background has received renewed interest association topologically trivial gerbes over $\mathbb{R}^n.$ is described by 3-cocycle the group $\mathbb{R}^n$ values unit circle $S^1.$ space $M$ are classified Dixmier-Douady class which an element $\mathrm{H}^3(M,\mathbb{Z}).$ However, there finer description terms local d...

High Performance Computing (HPC) can be understood as the interaction of parallel and adaptive methods with fast solvers on powerful parallel computers. Therefore, an introduction to parallel and adaptive methods as well as to fast solvers is given. The interaction of these methods is demonstrated using three examples which deal with groundwater flow and transport processes, gaswater flow as we...