A quantitative metric for robustness of nonlinear algebraic equation solvers

M. Sielemann and G. Schmitz

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 12, 2673-2687

Abstract: Practitioners in the area of dynamic simulation of technical systems report difficulties at times with steady-state initialization of models developed using general declarative modeling languages. These difficulties are analyzed in detail in this work and a rigorous approach to quantify robustness in the context of nonlinear algebraic equation systems is presented. This tool is then utilized in a study of six state of the art gradient-based iterative solvers on a set of industrial test problems. Finally, conclusions are drawn on the observed solver robustness in general, and it is argued whether the reported difficulties with steady-state initialization can be supported using the proposed quantitative metric.

Keywords: Robustness; Steady state initialization; Dynamical system; Declarative modeling; Modelica (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:12:p:2673-2687

DOI: 10.1016/j.matcom.2011.05.010

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