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A Numerical Scheme for Evacuation Dynamics

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2020) 12044 LNCS 277-286
DOI: 10.1007/978-3-030-43222-5_24
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Abstract

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.

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Gokieli, M., & Szczepańczyk, A. (2020). A Numerical Scheme for Evacuation Dynamics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 12044 LNCS, pp. 277–286). Springer. https://doi.org/10.1007/978-3-030-43222-5_24

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