2016/12/12 by Florent Berthelin, Berthelin, Florent, Thierry Goudon +5
Engineering · Social Sciences · #Adaptation and Self-Organizing Systems (nlin.AO) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Traffic control and management #Transportation Planning and Optimization
paper · doi:10.48550/arxiv.1612.03737
openalex publication_date 2016/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. These models are obtained through asymptotic arguments. Hence, we are interested in the simulation of approached models that contain stiff terms and large speeds of propagation. We design schemes intended to apply with relaxed stability conditions.