814 citations · 2k across the 47 of their papers we have counts for
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Spatial Manifestations of Order Reduction in Runge-Kutta Methods for Initial Boundary Value Problems
Rodolfo Ruben Rosales, Benjamin Seibold, David Shirokoff +1
This paper studies the spatial manifestations of order reduction that occur when time-stepping initial-boundary-value problems (IBVPs) with high-order Runge-Kutta methods. For such…
Off-Ramp Coupling Conditions Devoid of Spurious Blocking and Re-Routing
Najmeh Salehi, Julia Somers, Benjamin Seibold
When modeling vehicular traffic flow on highway networks via macroscopic models, suitable coupling conditions at the network nodes are crucial. Frequently, the evolution of traffic…
A Comparative Study of Limiting Strategies in Discontinuous Galerkin Schemes for the Model of Radiation Transport
Prince Chidyagwai, Martin Frank, Florian Schneider +1
The minimum entropy moment system is a system of hyperbolic balance laws that approximates the radiation transport equation, and has many desirable properties. Among them are…
Dissipation of stop-and-go waves via control of autonomous vehicles: Field experiments
Raphael E. Stern, Shumo Cui, Maria Laura Delle Monache +11
Traffic waves are phenomena that emerge when the vehicular density exceeds a critical threshold. Considering the presence of increasingly automated vehicles in the traffic stream,…
Traffic Flow Control and Fuel Consumption Reduction via Moving Bottlenecks
Rabie A. Ramadan, Benjamin Seibold
Moving bottlenecks, such as slow-driving vehicles, are commonly thought of as impediments to efficient traffic flow. Here, we demonstrate that in certain situations, moving bottlen…
A Collapsed Generalized Aw-Rascle-Zhang Model and Its Model Accuracy
Shimao Fan, Ye Sun, Benedetto Piccoli +2
This work presents a collapsed generalized Aw-Rascle-Zhang (CGARZ) model, which fits into a generic second order model (GSOM) framework. GSOMs augment the evolution of the traffic…