  Modelling of singularities given by discontinuous functions or distributions
by means of generalized functions has proved useful in many problems posed by
physical phenomena. We introduce in a systematic way generalized functions of
Colombeau that model singularities given by distributions with singular point
support. Moreover, we evaluate various products of such generalized models
whenever the results admit associated distributions. The results obtained
follow the idea of a well-known result of Jan Mikusinski on balancing of
singular distributional products.
