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math.NA2023
A hierarchy of kinetic discrete-velocity models for traffic flow derived from a non-local Prigogine-Herman model
Raul Borsche, Axel Klar
Starting from a non-local version of the Prigogine-Herman traffic model, we derive a natural hierarchy of kinetic discrete velocity models for traffic flow consisting of systems of…
math.NA2023
Implicit Active Flux methods for linear advection
Wasilij Barsukow, Raul Borsche
In this work we develop implicit Active Flux schemes for the scalar advection equation. At every cell interface we approximate the solution by a polynomial in time. This allows to…