A numerical relativity code consists in two main ingredients: the evolution system and the discretization algorithm. Up to now, we have focused in the evolution formalism. The strong hyperbolicity requirement is a requisite for a well-posed system at the continuum level. Also, the subsidiary system, governing constraint deviations, has been studied at the continuum level, where we have seen how the subset of true Einstein’s solutions can become an attractor for extended (constraint-violating) solutions.
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Bona, C., Bona-Casas, C., Palenzuela-Luque, C. (2009). Numerical Methods. In: Elements of Numerical Relativity and Relativistic Hydrodynamics. Lecture Notes in Physics, vol 783. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01164-1_5
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