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On the numerical solutions of second order macroscopic models of pedestrian flows

  • Published:2008-10 Issue:7 Volume:56 Page:1884-1898
  • ISSN:0898-1221
  • Container-title:Computers & Mathematics with Applications
  • language:en
  • Short-container-title:Computers & Mathematics with Applications

Author:

Dogbé C.

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference15 articles.

1. Traffic, crowds, and swarms;Bellomo;Mathematical Models and Methods in Applied Sciences,2008

2. Modelling Complex Living Systems — A Kinetic Theory and Stochastic Game Approach;Bellomo,2008

3. Traffic Flow Fundamental;May,1990

4. Self-organization phenomena in pedestrian crowds;Helbing,1997

5. Designing for pedestrians: A level of service concept;Fruin;Highway research record,1971

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1. A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models;Applied Mathematical Modelling;2024-07

2. ro-PINN: A reduced order physics-informed neural network for solving the macroscopic model of pedestrian flows;Transportation Research Part C: Emerging Technologies;2024-06

3. Prediction-Correction Pedestrian Flow By Means Of Minimum Flow Problem;Mathematical Models and Methods in Applied Sciences;2023-11-24

4. A viscous continuum model with smoke effect for pedestrian evacuation;Physica A: Statistical Mechanics and its Applications;2023-07

5. Towards a mathematical theory of behavioral human crowds;Mathematical Models and Methods in Applied Sciences;2022-01-12
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