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math.NA2026
Micro-to-macro derivation and stability analysis of an Aw-Rascle-Zhang-type model with driver-dependent acceleration
Stephan Gerster, Giuseppe Visconti
We introduce a new traffic flow model. The main idea is to describe acceleration effects in the Aw-Rascle-Zhang model through an additional driver-dependent equation, thereby allow…
math.NA2026
Ensemble Kalman Inversion as an Inertial Interacting Particle System
Michael Herty, Pierpaolo Porretta, Giuseppe Visconti
Ensemble Kalman Inversion (EKI) is a derivative-free, ensemble-based method for inverse and optimization problems. A central limitation of its continuous-time dynamics is premature…