4 Numerical Issues

In this section we discuss some of the issues that have to be confronted in a numerical implementation of the Einstein equations and, in particular, of the conformal field equations to solve the hyperboloidal initial value problem. The material presented in this section is based to a large extent on work by Hübner [89, 90, 91, 92, 94, 95] and Frauendiener [45, 46, 47, 48, 49]. These are also the references which should be consulted for a more detailed discussion of the various numerical schemes. The presentation here will be rather cursory in order to keep it reasonably short.