145 citations · 309 across the 27 of their papers we have counts for
4 papers · 1 filter
Accelerated Kinetic Monte Carlo methods for general nonlocal traffic flow models
Yi Sun, Changhui Tan
This paper presents a class of one-dimensional cellular automata (CA) models on traffic flows, featuring nonlocal look-ahead interactions. We develop kinetic Monte Carlo (KMC) algo…
An asymptotic preserving scheme for kinetic models with singular limit
Alina Chertock, Changhui Tan, Bokai Yan
We propose a new class of asymptotic preserving schemes to solve kinetic equations with mono-kinetic singular limit. The main idea to deal with the singularity is to transform the…
An Exact Rescaling Velocity Method for some Kinetic Flocking Models
Thomas Rey, Changhui Tan
In this work, we discuss kinetic descriptions of flocking models, of the so-called Cucker-Smale and Motsch-Tadmor types. These models are given by Vlasov-type equations where the i…
A discontinuous Galerkin method on kinetic flocking models
Changhui Tan
We study kinetic representations of flocking models. They arise from agent-based models for self-organized dynamics, such as Cucker-Smale and Motsch-Tadmor models. We prove flockin…