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We present a new fully first order strongly hyperbolic representation of theBSSN formulation of Einstein's equations with optional constraint dampingterms. We describe the characteristic fields of the system, discuss itshyperbolicity properties, and present two numerical implementations andsimulations: one using finite differences, adaptive mesh refinement and inparticular binary black holes, and another one using the discontinuous Galerkinmethod in spherical symmetry. The results of this paper constitute a first stepin an effort to combine the robustness of BSSN evolutions with very highaccuracy numerical techniques, such as spectral collocation multi-domain ordiscontinuous Galerkin methods.

Numerical simulations with a first order BSSN formulation of Einstein's field equations