On the numerical stability in dynamical distributed simulations

Stian Skjong and Eilif Pedersen

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 163, issue C, 183-203

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.

Keywords: Distributed simulation; Solver stability; Solver dynamics; Numerical convergence (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:163:y:2019:i:c:p:183-203

DOI: 10.1016/j.matcom.2019.02.018

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