Numerical stability of the Alekseenko-Arnold evolution system compared to the ADM and BSSN systems

Nina Jansen, Bernd Brügmann, and Wolfgang Tichy
Phys. Rev. D 74, 084022 – Published 19 October 2006

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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  • Received 9 January 2004

DOI:https://doi.org/10.1103/PhysRevD.74.084022

©2006 American Physical Society

Authors & Affiliations

Nina Jansen

  • Center for Gravitational Physics and Geometry and Center for Gravitational Wave Physics, Penn State University, University Park, Pennsylvania 16802, USA

Bernd Brügmann

  • Institute of Theoretical Physics, University of Jena, 07743 Jena, Germany

Wolfgang Tichy

  • Department of Physics, Florida Atlantic University, Boca Raton, Florida 33431, USA

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Issue

Vol. 74, Iss. 8 — 15 October 2006

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