2 papers
math.NA2020
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations
Václav Kučera, Mária Lukáčová-Medvid'ová, Sebastian Noelle +1
In this paper we derive and analyse a class of linearly implicit schemes which includes the one of Feistauer and Kučera (JCP 2007) as well as the class of RS-IMEX schemes. The impl…
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…