Numerical simulations of accretion disks and astrophysical jets

We present the results of high resolution numerical simulations concerning accretion disks and relativistic jets. For accretion disks, in the context of the problem of angular momentum transport, we performed simulations of the magnetorotational instability in the shearing box approximation and, on the basis of our results, we discuss its validity. In the case of relativistic jets, we analyse how their interaction with the ambient medium can lead to their deceleration, as it appears to be the case for jets in FRI extragalactic radiosources.