“…The main advantage of NR simulations is that the Einstein Equations can be solved directly by numerical discretization of the equations. Over the last years, the NR community has made tremendous progress on several fronts: (i) the exploration of the BNS parameter space by systematically varying the EOSs, total mass, mass ratio, spin, and eccentricity, e.g., [65,66,71,125,174,177,180,183,[191][192][193][194]226,242,275,287,288,295,333,389,425,453,475,487,507,530,532]; (ii) the development of numerical schemes allowing many-orbits simulations with high-accuracy GWs, e.g., [63,72,175,274,277,294,455]; (iii) the increasing realism of microphysical schemes that incorporate magnetic effects, finite-temperature EOSs, composition effects, and neutrino transport, e.g., [26,130,224,228,229,231,235,240,296,297,…”