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A Numerical Scheme for Evacuation Dynamics

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Parallel Processing and Applied Mathematics (PPAM 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12044))

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.

Supported by ICM, University of Warsaw.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences - School of Exact Sciences, Cardinal Stefan Wyszyński University, Wóycickiego 1/3, 01-938, Warsaw, Poland

    Maria Gokieli

  2. ICM, University of Warsaw, Tyniecka 15/17, 02-630, Warsaw, Poland

    Andrzej Szczepańczyk

Authors
  1. Maria Gokieli
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  2. Andrzej Szczepańczyk
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Corresponding author

Correspondence to Maria Gokieli .

Editor information

Editors and Affiliations

  1. Czestochowa University of Technology, Czestochowa, Poland

    Roman Wyrzykowski

  2. University of Southern California, Marina del Rey, CA, USA

    Ewa Deelman

  3. University of Tennessee, Knoxville, TN, USA

    Jack Dongarra

  4. Czestochowa University of Technology, Czestochowa, Poland

    Konrad Karczewski

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Gokieli, M., Szczepańczyk, A. (2020). A Numerical Scheme for Evacuation Dynamics. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K. (eds) Parallel Processing and Applied Mathematics. PPAM 2019. Lecture Notes in Computer Science(), vol 12044. Springer, Cham. https://doi.org/10.1007/978-3-030-43222-5_24

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  • DOI: https://doi.org/10.1007/978-3-030-43222-5_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43221-8

  • Online ISBN: 978-3-030-43222-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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