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Uncertainty Quantification in Hierarchical Vehicular Flow Models
Michael Herty, Elisa Iacomini
We consider kinetic vehicular traffic flow models of BGK type. Considering different spatial and temporal scales, those models allow to derive a hierarchy of traffic models includi…
math.NA2021
Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation
Stephan Gerster, Michael Herty, Elisa Iacomini
We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperb…