From Traffic and Pedestrian Follow-the-Leader Models with Reaction Time to First Order Convection-Diffusion Flow Models

DOI10.1137/16M110695XzbMath1387.35102arXiv1612.04050MaRDI QIDQ4602487

Guillaume Costeseque, Michael Herty, Armin Seyfried, Antoine Tordeux

Publication date: 11 January 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04050

zbMATH Keywords

linear stability analysisnumerical simulationGodunov schemefirst order traffic flow modelsmicro/macro connection

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Nonlinear first-order PDEs (35F20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Traffic problems in operations research (90B20) The dynamics of infinite particle systems (70F45)

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