Multigrid Methods for Integral and Differential Equations (Institute of Mathematics and Its Applications Conference Series New Series)

Written by leading numerical analysts, this state-of-the-art collection covers the design and implementation of programs for the multigrid method, which first came to prominence in the late 1970s. Now considered a significant computational tool, the multigrid method has allowed substantial progress in the development of efficient, robust methods for solving field equations, and has made accessible new areas of computation, such as three-dimensional simulation. Indeed, in many cases, this method allows a realization of optimal algorithms, whose computational work grows linearly with the number of unknowns in a system of equations. With contributions by internationally recognized experts such as Achi Brandt, Wolfgang Hackbusch, Pieter Wesseling and Ulrich Trottenberg.