Hybrid Stochastic Kinetic Description of Two-Dimensional Traffic Dynamics

DOI10.1137/17M1155909zbMath1403.35196arXiv1711.02424MaRDI QIDQ4691139

Giuseppe Visconti, Mattia Zanella, Michael Herty, Andrea Tosin

Publication date: 18 October 2018

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

Full work available at URL: https://arxiv.org/abs/1711.02424

zbMATH Keywords

uncertainty quantificationfundamental diagramsBoltzmann and Fokker-Planck equationsstructure preserving schemesdata dispersion

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Traffic problems in operations research (90B20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs in connection with mechanics of particles and systems of particles (35Q70) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

Related Items (9)

A mixed finite element method for modeling the fluid exchange between microcirculation and tissue interstitium ⋮ Kinetic-controlled hydrodynamics for multilane traffic models ⋮ Model-based assessment of the impact of driver-assist vehicles using kinetic theory ⋮ A two-dimensional data-driven model for traffic flow on highways ⋮ Uncertainty damping in kinetic traffic models by driver-assist controls ⋮ Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles ⋮ Stability Analysis of Quadrature-Based Moment Methods for Kinetic Equations ⋮ Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives ⋮ Models for Dense Multilane Vehicular Traffic

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