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On the numerical stability in dynamical distributed simulations

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  • Skjong, Stian
  • Pedersen, Eilif

Abstract

This work takes aim at studying numerical stability in distributed simulations through dynamic stability and stability criteria for explicit solvers. This is done by studying outer stability limits, for example stability conditions when handling unstable subsystems or marginally stable solvers. To conclude global stability of a distributed system simulation both dynamic stability and solver stability must hold, and this work combines these stability criteria into one unified criterion for distributed linear dynamical systems. Some examples are given in order to both highlight numerical stability issues and to prove stability in different case studies. The derived stability criterion is also extended to include distributed systems containing nonlinear dynamics.

Suggested Citation

  • Skjong, Stian & Pedersen, Eilif, 2019. "On the numerical stability in dynamical distributed simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 163(C), pages 183-203.
    • Handle: RePEc:eee:matcom:v:163:y:2019:i:c:p:183-203
    DOI: 10.1016/j.matcom.2019.02.018
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    References listed on IDEAS

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    1. R. Kübler & W. Schiehlen, 2000. "Two Methods of Simulator Coupling," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 6(2), pages 93-113, June.
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    Cited by:

    1. Liu, Ping & Fu, Zao & Cao, Jinde & Wei, Yun & Guo, Jianhua & Huang, Wei, 2020. "A decentralized strategy for generalized Nash equilibrium with linear coupling constraints," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 221-232.

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