The explicit Euler scheme

Here we can see the calculations obtained with the explicit scheme. The initial conditions are q_{0}=p, w_{i}=0 :We can see that the results are quite dependant of the time step. Indeed, with Dt=0.1, the calculation diverges. Whereas with Dt=0.01, quite good results are generally obtained.

Nevertheless, with a damped pendulum there is no divergence. This is due, of course, to the viscous effects.