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math.NA2026
A multi-class kinetic traffic flow model: discrete-velocity formulation and diffusively-corrected macroscopic limits
Carmen Mezquita-Nieto, Paola Goatin, Axel Klar
This paper introduces a multi-class extension of a discrete-velocity kinetic traffic flow model based on a non-local Prigogine-Herman framework. We derive a hyperbolically scaled s…
math.NA2025
Interface layers and coupling conditions for discrete kinetic models on networks: a spectral approac
Raul Borsche, Tobias Damm, Axel Klar +1
We consider kinetic and related macroscopic equations on networks. A class of linear kinetic BGK models is considered, where the limit equation for small Knudsen numbers is given b…