[en] A dynamical model is proposed for the process of inelastic collisions of light nuclei with the atomic numbers A <= 16. The model is based on a numerical solution of the classical many-body problem using an energy-dependent nucleon-nucleon interaction potential, and it enables one to look at the temporal evolution of the nuclear collision process, including the decays of the excited reaction products. The model may be applied to calculate the mass composition, aigular distributions and the energy spectra of products of the inelastic nucleon-nucleus and nucleus-nucleus collisions at energies of the incident particles up to 400 MeV/nucleon