  Under non-global Lipschitz condition, Euler Explicit method fails to converge
strongly to the exact solution, while Euler implicit method converges but
requires much computational efforts. Tamed scheme was first introduced in [2]
to overcome this failure of the standard explicit method. This technique is
extended to SDEs driven by Poisson jump in [3] where several schemes were
analyzed. In this work, we investigate their nonlinear stability under
non-global Lipschitz and their linear stability. Numerical simulations to
sustain the theoretical results are also provided.
