Article citationsMore>>

Holden, H., Karlsen, K., Lie, K. and Risebro, N. (2010) Splitting Methods for Partial Differential Equations with Rough Solutions: Analysis and Matlab Programs. EMS Series of Lectures in Mathematics, European Mathematical Society, Zürich.
https://doi.org/10.4171/078

has been cited by the following article:

• TITLE: Evacuation Vector Field in Crowd Dynamics

  AUTHORS: Liwen Zhou

  KEYWORDS: Kinetic Models, Crowd Evacuation, Evacuation Vector Field

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.5, May 18, 2022

  ABSTRACT: The geometrical effect is one of the most important factors in the kinetic modeling of crowd evacuation, besides the interaction between agents. More precisely, in the process of crowd evacuation, agents have the desire to reach the exit, and the ability to avoid the walls or obstacles. In this study, we propose the evacuation vector field which incorporates the geometrical effects in crowd evacuation. This is useful for modeling the crowd evacuation from complex venue.