  In this short paper, we intend to describe one way to construct arbitrarily
high order kinetic schemes on regular meshes. The method can be arbitrarily
high order in space and time, run at least CFL one, is asymptotic preserving
and computationally explicit, i.e., the computational costs are of the same
order of a fully explicit scheme. We also introduce a non linear stability
method that enables to simulate problems with discontinuities, and it does not
kill the accuracy for smooth regular solutions.
