A Numerical Scheme for Evacuation Dynamics

  • Maria GokieliEmail author
  • Andrzej Szczepańczyk
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 12044)


We give a stability condition for a semi–implicit numerical scheme and prove unconditional stability for an implicit scheme for a nonlinear advection – diffusion equation, meant as a model of crowd dynamics. Numerical stability is given for a wider class of equations and schemes.


Finite elements method CFL condition Stability 


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Authors and Affiliations

  1. 1.Faculty of Mathematics and Natural Sciences - School of Exact SciencesCardinal Stefan Wyszyński UniversityWarsawPoland
  2. 2.ICMUniversity of WarsawWarsawPoland

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