This volume reviews, in the context of partial differential
equations, algorithm development that has been specifically aimed
at computers that exhibit some form of parallelism. Emphasis is on
the solution of PDEs because these are typically the problems that
generate high computational demands. The authors discuss
architectural features of these computers insomuch as they
influence algorithm performance, and provide insight into algorithm
characteristics that allow effective use of hardware. Both direct
and indirect methods are given for elliptic equations as well as
explicit and implicit methods for initial boundary-value problems.
The intent is to point out attractive methods as well as areas
where this class of computer architecture cannot be fully utilized
because of either hardware restrictions or the lack of adequate
algorithms.
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