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Overview on uncertainty quantification in traffic models via intrusive method (2210.06189v1)
Published 12 Oct 2022 in math.NA and cs.NA
Abstract: We consider traffic flow models at different scales of observation. Starting from the well known hierarchy between microscopic, kinetic and macroscopic scales, we will investigate the propagation of uncertainties through the models using the stochastic Galerkin approach. Connections between the scales will be presented in the stochastic scenario and numerical simulations will be performed.