62 citations · 104 across the 7 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NA2018
Modeling and simulation of gas networks coupled to power grids
Eike Fokken, Simone Göttlich, Oliver Kolb
In this paper, a mathematical framework for the coupling of gas networks to electric grids is presented to describe in particular the transition from gas to power. The dynamics of…
math.NA2018★ 20 cited
Maximum principle satisfying CWENO schemes for non-local conservation laws
Jan Friedrich, Oliver Kolb
Central WENO schemes are a natural candidate for higher-order schemes for non-local conservation laws, since the underlying reconstructions do not only provide single point values…
math.NA2018★ 62 cited
A Godunov type scheme for a class of LWR traffic flow models with non-local flux
Jan Friedrich, Oliver Kolb, Simone Göttlich
We present a Godunov type numerical scheme for a class of scalar conservation laws with non-local flux arising for example in traffic flow models. The proposed scheme delivers more…