  After decades of one-dimensional nucleosynthesis calculations, the growth of
computational resources has meanwhile reached a level, which for the first time
allows astrophysicists to consider performing routinely realistic
multidimensional nucleosynthesis calculations in explosive and, to some extent,
also in non-explosive environments. In the present contribution we attempt to
give a short overview of the physical and numerical problems which are
encountered in these simulations. In addition, we assess the accuracy that can
be currently achieved in the computation of nucleosynthetic yields, using
multidimensional simulations of core collapse supernovae as an example.
