The nonlinear spatially homogeneous integro-differential Boltzmann equation is a uniquely challenging task for numerical solvers due to the difficulty of efficiently computing the collision operator. A popular method is to expand the solution in Fourier modes and to truncate the collision operator. We present an approach based on the hyperbolic cross, whereby the performance can be greatly enhanced in some situations, as well as an offset ...

This report first introduces the concept of risk diagrams (in a broad sense). Different examples then illustrate how the design of risk diagrams influences the amount of information that can be communicated in diagrams and the information's usefulness for the public. In the third section, the special form of geographical risk maps is assessed. The report discusses traditional types of risk maps as well as new types of crowdsourced risk ...

The target of this project is the development of a real-time virtual soot sensor, which is to be applied in a soot control concept for modern common rail diesel engines.