On the Proper Setup of the Double Mach Reflection as a Test Case for the Resolution of Gas Dynamics Codes

This note discusses the initial and boundary conditions as well as the size of the computational domain for the double Mach reflection problem when set up as a test for the resolution of an Euler scheme for gas dynamics

New options for explicit all Mach number schemes by suitable choice of time integration methods

Many low-Mach or all-Mach number codes are based on space discretizations which in combination with the first order explicit Euler method as time integration would lead to an unstable scheme. In this paper, we investigate how the choice of a suitable explicit time integration method can stabilize these schemes. We restrict ourselves to some old prototypical examples in order to find directions for further research in this field

A short note on the stability of a class of parallel Runge-Kutta methods

With this short note, we close a gap in the linear stability theory of block predictor-corrector Runge-Kutta schemes originally proposed for the parallel solution of ODEs

Why Majority Judgement is not yet the solution for political elections, but can help finding it

Like many other voting systems, Majority Judgement suffers from the weaknesses of the underlying mathematical model: Elections as problem of choice or ranking. We show how the model can be enhanced to take into account the complete process starting from the whole set of persons having passive electoral rights and even the aspect of reelection. By a new view on abstentions from voting and an adaption of Majority Judgement with three grades, we are able to describe a complete process for an election that can be easily put into legislation and sets suitable incentives for politicians who want to be reelected

Skriptum zur Linearen Algebra und Analytischen Geometrie

Die Vorlesungsvideos finden sich unter https://www.youtube.com/playlist?list=PLZX-783rv04TdUz0hFlqOAR4peiR080H