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.

4.1 Why use the conformal method for numerical relativity?

4.2 Construction of initial data

4.3 Evolution equations

4.4 Some numerical results

4.5 Problems for future considerations

4.2 Construction of initial data

4.3 Evolution equations

4.4 Some numerical results

4.5 Problems for future considerations

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