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math.OC2025
A nonlocal degenerate macroscopic model of traffic dynamics with saturated diffusion: modeling and calibration theory
Dawson Do, Hossein Nick Zinat Matin, Masuma Mollika Miti +1
In this work, we introduce a novel first-order nonlocal partial differential equation with saturated diffusion to describe the macroscopic behavior of traffic dynamics. We show how…
math.OC2025
Second-Order Time to Collision With Non-Static Acceleration
Hossein Nick Zinat Matin, Yuneil Yeo, Amelie Ju-Kang Ngo +3
We propose a second-order time to collision (TTC) considering non-static acceleration and turning with realistic assumptions. This is equivalent to considering that the steering wh…