2 papers
math.NA2023
Godunov-like numerical fluxes for conservation laws on networks
Lukáš Vacek, Václav Kučera
This paper deals with the construction of a discontinuous Galerkin scheme for the solution of Lighthill-Whitham-Richards traffic flows on networks. The focus of the paper is the co…
math.NA2020
Discontinuous Galerkin method for macroscopic traffic flow models on networks
Lukáš Vacek, Václav Kučera
In this paper, we describe a numerical technique for the solution of macroscopic traffic flow models on networks of roads. On individual roads, we consider the standard Lighthill-W…