  We use an Ulam-type discretization scheme to provide pointwise approximations
for invariant densities of interval maps with a neutral fixed point. We prove
that the approximate invariant density converges pointwise to the true density
at a rate $C^*\cdot\frac{\ln m}{m}$, where $C^*$ is a computable fixed constant
and $m^{-1}$ is the mesh size of the discretization.
