  We consider Monte-Carlo discretizations of partial differential equations
based on a combination of semi-lagrangian schemes and probabilistic
representations of the solutions. We study the Monte-Carlo error in a simple
case, and show that under an anti-CFL condition on the time-step $\delta t$ and
on the mesh size $\delta x$ and for $N$ - the number of realizations -
reasonably large, we control this error by a term of order
$\mathcal{O}(\sqrt{\delta t /N})$. We also provide some numerical experiments
to confirm the error estimate, and to expose some examples of equations which
can be treated by the numerical method.
