A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks with application to traffic flow models
Numerical Analysis
2018-04-26 v1 Analysis of PDEs
Abstract
We present a semi-Lagrangian scheme for the approximation of a class of Hamilton-Jacobi-Bellman equations on networks. The scheme is explicit and stable under some technical conditions. We prove a convergence theorem and some error estimates. Additionally, the theoretical results are validated by numerical tests. Finally, we apply the scheme to simulate traffic flows modeling problems.
Keywords
Cite
@article{arxiv.1804.09429,
title = {A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks with application to traffic flow models},
author = {Elisabetta Carlini and Adriano Festa and Nicolas Forcadel},
journal= {arXiv preprint arXiv:1804.09429},
year = {2018}
}