Multigrid and Multilevel Methods in Science and Engineering

                               Craig C. Douglas

                       IBM T.J. Watson Research Center
                                 P.O. Box 218
                       Yorktown Heights, NY 10598-0218
                                     USA

                                     and

                               Yale University
                        Department of Computer Science
                               P.O. Box 208285
                           New Haven, CT 06520-8285
                                     USA

This is a survey article for the IEEE-Computational Science and Engineering
magazine.  It is aimed at scientists and engineers who know nothing about
multigrid and multilevel methods.  It provides some basic information,
examples, algorithms (linear, nonlinear, and time dependent PDE's; single and
multiple processors), and other sources of information available on the
Internet and World Wide Web.