Relativistic N-body simulation

Large scale structure formation is a highly non-linear phenomena, and therefor can be tackle only by simulation. It is only recently that simulation based on a geometrical description of gravity have been developed, first using the weak field approximation ( gevolution code) then using numerical relativity thus solving general relativity at it fully non-linear level. In this talk I will first discuss briefly the numerical method used in n-body simulation and the advantage and drawback of the different existing approach. Secondly numerical relativity methods will be detailed to discuss the numerical structure of the DDM code.