  We describe a number of recently developed cluster-flipping algorithms for
the efficient simulation of classical spin models near their critical
temperature. These include the algorithms of Wolff, Swendsen and Wang, and
Niedermeyer, as well as the limited cluster algorithm, the multigrid methods of
Kandel and co-workers, and the invaded cluster algorithm. We describe the
application of these algorithms to Ising, Potts, and continuous spin models.
  This paper is a review to appear in "Monte Carlo Methods in Chemical
Physics", D. Ferguson, J. I. Siepmann, and D. G. Truhlar (eds.), Wiley, New
York (1997).
