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

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

2003-10-20

arxiv.org/abs/gr-qc/0310100v1

Phys.Rev.D74:084022,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 12 figures

Scientific paper

10.1103/PhysRevD.74.084022

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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