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The parallelization of the waveform-relaxation-Newton (WRN) method for circuit simulation is described. The techniques are applied at three levels of granularity: subcircuits are processed in parallel for large-grain parallelism, time points are processed in parallel for medium-grain parallelism, and devices are processed in parallel for fine-grain parallelism. The effectiveness of each of these approaches is demonstrated with the PSPLAX program (which is a parallel version of a WRN program called SPLAX) using a number of industrial examples. Currently, PSPLAX is implemented on an Alliant FX/80 with eight processors. The results indicate that the combination of these approaches should be effective on larger systems.>
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Xia et al. (1992) studied this question.
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