SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1841-1861, January 2020.
We introduce a Follow-the-Leader approximation of a nonlocal generalized Aw--Rascle--Zhang (GARZ) model for traffic flow. We prove the convergence to weak solutions of the corresponding macroscopic equations deriving $L^\infty$ and BV estimates. We also provide numerical simulations illustrating the micro-macro convergence and we numerically investigate the nonlocal to local limit for both the microscopic and macroscopic models.

中文翻译：

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非局部广义Aw-Rascle类型模型的微宏极限

SIAM应用数学杂志，第80卷，第4期，第1841-1861页，2020年1月。
我们引入了交通流的非局部广义Aw-Rascle-Zhang（GARZ）模型的跟踪跟踪近似。我们证明了导出$ L ^ \ infty $和BV估计的相应宏观方程的弱解的收敛性。我们还提供了说明微观-宏观收敛的数值模拟，并且我们对微观和宏观模型的非局部到局部极限进行了数值研究。