Conclusion ========== Newmark's temporal integration scheme and its variants called "modified mean acceleration" and HHT, accompanied by Newton's method, make it possible to deal with many types of nonlinear dynamics problems, for material or geometric nonlinearities. The treatment of highly nonlinear and irregular dynamic problems, such as the analysis of structures with large displacements or contact friction, is subject to numerical instability, even with time integration methods that are unconditionally stable in the linear domain. It is then possible to integrate the equations of motion with respect to time only by introducing artificial dissipation. The trick is to dose this dissipation so that, in the range of frequencies that are of mechanical interest, it is approximately equivalent to natural damping, without excessively offsetting the vibratory spectrum of the structure. Two explicit schemes are also proposed. Users of the DYNA_NON_LINE operator are recommended to read the documentation [:ref:`U2.06.13 `] whose role is to help make good use of these transitional resolution methods.