Overview

In this chapter properties of some results will be claimed. Some of them will solve general questions of convergence of numerical schemes for rather large classes of nonlinear problems described by differential inclusions or by ordinary differential equations and differential inclusions. Some others are only particular results that can illustrate the complex behaviour of numerical schemes in the case of special nonlinear behaviours: even if we do not give proofs for general cases, it is interesting to pay attention to the behaviours of the numerical schemes that can occur from simple examples because it seems that the same kind of behaviour may arise for general situations.