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\item Z4 and GH evolve the physical metric, and thus not compatible with the moving puncture method.
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\item The rests are using the conformal metric.
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\begin{itemize}
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\item Z4c damps the constraints better than BSSN, especially in long term evolutions.
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\item Z4c damps the constraints better than BSSN, as the constraint violations propagate at the speed of light and move out.
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\item Unstable in CCZ4 for black hole spacetime was reported with some parameters.
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\end{itemize}
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\end{itemize}
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