A new class of methods, termed "group explicit methods," is
introduced in this text. Their applications to solve parabolic,
hyperbolic and elliptic equations are outlined, and the advantages
for their implementation on parallel computers clearly portrayed.
Also included are the introductory and fundamental concepts from
which the new methods are derived, and on which they are dependent.
With the increasing advent of parallel computing into all aspects
of computational mathematics, there is no doubt that the new
methods will be widely used.
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