Group explicit complete method vs. standard explicit method on mimd parallel systems

Abstract

The explicit methods although very suitable for parallel processing always deny us reasonable accuracy and some stability; on the other hand, the implicit schemes offer stability, but the exploitation of these methods for parallel processing may be difficult and possibly inefficient.

This paper investigates the applicability of a new class of group explicit methods to parallel processing, the experimental vehicle being a non-linear parabolic p.d.e. of second order.

The method is briefly presented and then work is concentrated on the selection of a suitable algorithm which can effectively use the processing power of a MIMD parallel architecture and at the same time is stable and can produce highly accurate results.

Keywords:

• Non-linear parabolic P.D.E. explicit method
• Group explicit method
• MIMD computer.

Dept. of Informatics, Athens University of Economics and Business, Athens, Greece.

Dept. of Informatics, Athens University of Economics and Business, Athens, Greece.

Notes

Dept. of Informatics, Athens University of Economics and Business, Athens, Greece.