All Outputs (2)

High-order filtered schemes for first order time dependent linear and non-linear partial differential equations (2017)
Journal Article
Sahu, S. (2018). High-order filtered schemes for first order time dependent linear and non-linear partial differential equations. Mathematics and Computers in Simulation, 147, 250-263. https://doi.org/10.1016/j.matcom.2017.05.009

This work is based on high-order “filtered scheme”. Recently filtered scheme has been introduced to solve some first order Hamilton–Jacobi equations. In this paper, we aim to solve some linear and non-linear partial differential equations by a high o... Read More about High-order filtered schemes for first order time dependent linear and non-linear partial differential equations.

On the micro-to-macro limit for first-order traffic flow models on networks (2016)
Journal Article
Cristiani, E., & Sahu, S. (2016). On the micro-to-macro limit for first-order traffic flow models on networks. Networks and Heterogeneous Media, 11(3), 395-413. https://doi.org/10.3934/nhm.2016002

Connections between microscopic follow-the-leader and macroscopic fluid-dynamics traffic flow models are already well understood in the case of vehicles moving on a single road. Analogous connections in the case of road networks are instead lacking.... Read More about On the micro-to-macro limit for first-order traffic flow models on networks.