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Numerical stability of the AA evolution system compared to the ADM and BSSN systems

Nina Jansen·Bernd Bruegmann·Wolfgang Tichy
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Abstract

We explore the numerical stability properties of an evolution system suggested by Alekseenko and Arnold. We examine its behavior on a set of standardized testbeds, and we evolve a single black hole with different gauges. Based on a comparison with two other evolution systems with well-known properties, we discuss some of the strengths and limitations of such simple tests in predicting numerical stability in general.

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Nina Jansen, Bernd Bruegmann, Wolfgang Tichy. 2003-10-20. Numerical stability of the AA evolution system compared to the ADM and BSSN systems. https://doi.org/10.1103/physrevd.74.084022

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