13 research outputs found
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
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
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
Skriptum zur Linearen Algebra und Analytischen Geometrie
Die Vorlesungsvideos finden sich unter https://www.youtube.com/playlist?list=PLZX-783rv04TdUz0hFlqOAR4peiR080H