For more than two decades numerical models of the Earth's magnetospher
e have been used successfully to study magnetospheric dynamic features
such as the excitation of ULF pulsations and the mechanism of field l
ine resonance. However, numerical formulations simplify important prop
erties of the real system. For instance the Alfven continuum becomes d
iscrete because of a finite grid size. This discretization can be a po
ssible source of numerical artifacts. Therefore a careful interpretati
on of any observed features is required. Examples of such artifacts ar
e presented using results from a three dimensional dipole model of the
magnetosphere, including an inhomogeneous distribution of the Alfven
velocity.