Skip to main content
Have a personal or library account? Click to login
On a numerical flux for the pedestrian flow equations* Cover
By:  and    
Open Access
|Dec 2015

References

  1. B, N.D, C. 2008. On the modelling crowd dynamics from scaling to hyperbolic macroscopic models., 1317 – 1345.
  2. B, F.R, C. 2006. Finite-element discretization of static hamilton-jacobi equations based on a local variational principle.2, 57–69.
  3. D, M. H. 2015. Simulation of high density pedestrian flow: Microscopic model.1, 81 – 95.
  4. E, R., G, T.,H, R. 2000. Finite volume methods. In, P. Ciarlet and J. Lions, Eds. Vol. VII. North-Holland, 713–1020.
  5. F, M., F, J.,S, I. 2003.. Clarendon Press.
  6. F, J.H, O. 2011. On a numerical flux for the shallow water equations.11, 5160 – 5170. Special issue on Fluid Flow and Heat Transfer.
  7. F, J.K, P. 2015. Modeling pedestrian flow via shallow water equations..
  8. F, P., F, J.,K, K. 2009. High order finite volume schemes for numerical solution of 2D and 3D transonic flows.4, 567–579.
  9. G, T., H, J.-M.,S, N. 2003. Some approximate godunov schemes to compute shallow-water equations with topography.4, 479–513.
  10. H, D., F, I. J., M, P.,V, T. 2002. Simulation of pedestrian crowd in normal and evacuation situations., 21 – 58.
  11. M, P. 2002. Crowded - macroscopic and microscopic models for pedestrian dynamics. Ph.D. thesis, University of Reading.
  12. T, E. F. 1997.. Springer, Berlin.
  13. T, M., G, P.,D, R. 2013. Numerical study of macroscopic pedestrian flow models. Tech. rep.
  14. V, G. 1982. Resolution numérique des équations d’euler pour des écoulements transsoniques avec un schéma de godunov en éléments finis. Ph.D. thesis, Paris IV.
DOI: https://doi.org/10.1515/jamsi-2015-0014 | Journal eISSN: 1339-0015 (formerly 1336-9180) | Journal ISSN: 1336-9180
Language: English
Page range: 79 - 96
Published on: Dec 30, 2015
Published by: University of Ss. Cyril and Methodius in Trnava
In partnership with: Paradigm Publishing Services

© 2015 P. Kubera, J. Felcman, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.