  The branching methods developed are effective methods to solve some semi
linear PDEs and are shown numerically to be able to solve some full non linear
PDEs. These methods are however restricted to some small coefficients in the
PDE and small maturities. This article shows numerically that these methods can
be adapted to solve the problems with longer maturities in the semi-linear case
by using a new derivation scheme and some nested method. As for the case of
full non linear PDEs, we introduce new schemes and we show numerically that
they provide an effective alternative to the schemes previously developed.
