Numerical stability of the AA evolution system compared to the ADM and BSSN systems
arXiv:gr-qc/0310100 · doi:10.1103/PhysRevD.74.084022
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.
16 pages, 12 figures