3 papers
math.AP2026
Discrete adjoint gradient computation for multiclass traffic flow models on road networks
Paola Goatin, Axel Klar, Carmen Mezquita-Nieto
This paper applies a discrete adjoint gradient computation method for a multi-class traffic flow model on road networks. Vehicle classes are characterized by their specific velocit…
math.AP2026
A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit
Raul Borsche, Tobias Damm, Axel Klar +1
We consider in this paper a velocity discretized version of the full linear kinetic BGK model and the corresponding limit for small Knudsen number, the linearised Euler or acoustic…
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…