Brown, J. DavidDiener, PeterField, Scott E.Hesthaven, Jan S.Herrmann, FrankMroue, Abdul H.Sarbach, OlivierSchnetter, ErikTiglio, ManuelWagman, Michael2013-11-122013-11-122013-11-12201210.1103/PhysRevD.85.084004https://infoscience.epfl.ch/handle/20.500.14299/96828WOS:000302238300007We present a new fully first-order strongly hyperbolic representation of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's equations with optional constraint damping terms. We describe the characteristic fields of the system, discuss its hyperbolicity properties, and present two numerical implementations and simulations: one using finite differences, adaptive mesh refinement, and, in particular, binary black holes, and another one using the discontinuous Galerkin method in spherical symmetry. The results of this paper constitute a first step in an effort to combine the robustness of Baumgarte-Shapiro-Shibata-Nakamura evolutions with very high accuracy numerical techniques, such as spectral collocation multidomain or discontinuous Galerkin methods.text::journal::journal article::research article