2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207065We 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 figuresGeneral Relativity and Quantum Cosmologytext