Towards numerical procedures for those technical phenomena whose mathematical models lead to non-standard conservation laws (Q1861365)

An introduction to modelling of physical phenomena by conservation laws is given, particularly in case of phenomena for which the conservation-law-models do not show the standard properties usually assumed to be fulfilled in order to prove theoretical or numerical results. An abstract theorem for the convergence of discretisation procedures in case of problems whose solutions are uniquely determined by inequalities is presented. First steps towards numerical methods for solving problems above can be done by means of this general theory and are presented in this paper.