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Beyond second-order convergence in simulations of binary neutron stars in full general relativity

Beyond second-order convergence in simulations of binary neutron stars in full general relativity

Despite the recent rapid progress in numerical relativity, a convergence order less than the second has so far plagued codes solving the Einstein-Euler system of equations. We report simulations of the inspiral of binary neutron stars in quasi-circular orbits computed with a new code employing high-order, high-resolution shock-capturing, finite-differencing schemes …