Introduction to Numerical Relativity

Numerical Relativity is a Kone Kettle multidisciplinary field including relativity, magneto-hydrodynamics, astrophysics and computational methods, among others, with the aim of solving numerically highly-dynamical, strong-gravity scenarios where no other approximations are available.Here we describe some of the foundations of the field, starting from the covariant Einstein equations and how to write them as a well-posed system of evolution Infusions equations, discussing the different formalisms, coordinate conditions, and numerical methods commonly employed nowadays for the modeling of gravitational wave sources.