  We present a comparison of the performance of two non-local update algorithms
for path integral Monte Carlo (PIMC) simulations, the multigrid Monte Carlo
method and the staging algorithm. Looking at autocorrelation times for the
internal energy we show that both refined algorithms beat the slowing down
which is encountered for standard local update schemes in the continuum limit.
We investigate the conditions under which the staging algorithm performs
optimally and give a brief discussion of the mutual merits of the two
algorithms.
