3 papers
math.NA2026
Supervised and Unsupervised Neural Network Solver for First Order Hyperbolic Nonlinear PDEs
Zakaria Baba, Alexandre M. Bayen, Alexi Canesse +7
We present a neural network-based method for learning scalar hyperbolic conservation laws. Our method replaces the traditional numerical flux in finite volume schemes with a traina…
math.OC2025
Hybrid multi-population traffic flow model: Optimal control for a mean-field limit
Maria Teresa Chiri, Christopher Denaro, Xiaoqian Gong +1
Modeling heterogeneous and multi-lane traffic flow is essential for understanding and controlling complex transportation systems. In this work, we consider three vehicle population…
math.AP2024
Adapting Priority Riemann Solver for GSOM on road networks
Caterina Balzotti, Roberta Bianchini, Maya Briani +1
In this paper, we present an extension of the Generic Second Order Models (GSOM) for traffic flow on road networks. We define a Riemann solver at the junction based on a priority r…