Numerical homogenization of a second order discrete model for traffic flow

The goal of this paper is to obtain a numerical approximation of the effective Hamiltonian for a system of PDEs deriving from a second order discrete model for traffic flow. We will propose an explicit and an implicit discretization for this effective Hamiltonian and we will provide the correspondin...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2016-01, Vol.71 (1), p.29-45
Main Author: Salazar, W.
Format: Article
Language:English
Subjects:
Analysis of PDEs
Approximation
Computer simulation
Discretization
Effective Hamiltonian
Estimates
Explicit scheme
Homogenizing
Implicit scheme
Macroscopic model
Mathematical analysis
Mathematical models
Mathematics
Traffic flow
Viscosity solution
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Summary:The goal of this paper is to obtain a numerical approximation of the effective Hamiltonian for a system of PDEs deriving from a second order discrete model for traffic flow. We will propose an explicit and an implicit discretization for this effective Hamiltonian and we will provide the corresponding error estimates of Crandall–Lions type. Finally, we will also present some numerical simulations.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2015.10.013