15 citations · 38 across the 11 of their papers we have counts for
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math.NA2022
Data-Driven Models for Traffic Flow at Junctions
Michael Herty, Niklas Kolbe
The simulation of traffic flow on networks requires knowledge on the behavior across traffic intersections. For macroscopic models based on hyperbolic conservation laws there exist…
math.NA2022
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
Niklas Kolbe
A recently introduced scheme for networked conservation laws is analyzed in various experiments. The scheme makes use of a novel relaxation approach that governs the coupling condi…
math.NA2022
Central schemes for networked scalar conservation laws
Michael Herty, Niklas Kolbe, Siegfried Müller
We propose a novel scheme to numerically solve scalar conservation laws on networks without the necessity to solve Riemann problems at the junction. The scheme is derived using the…