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.
@article{arxiv.gr-qc/0310100,
title = {Numerical stability of the AA evolution system compared to the ADM and BSSN systems},
author = {Nina Jansen and Bernd Bruegmann and Wolfgang Tichy},
journal= {arXiv preprint arXiv:gr-qc/0310100},
year = {2008}
}