Abstract
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. A numerical example is given and some impressive conclusions are derived from the experimental results and the detailed deterministic, performance analysis in favour of the new strategy when compared with existing methods.
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© 1986 Plenum Press, New York
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Bekakos, M.P., Evans, D.J. (1986). The Numerical Solution of Non-Linear Parabolic Equations on MIMD Parallel Computers. In: Singh, M.G., Allidina, A.Y., Daniels, B.K. (eds) Parallel Processing Techniques for Simulation. Applied Information Technology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5218-1_21
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DOI: https://doi.org/10.1007/978-1-4684-5218-1_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5220-4
Online ISBN: 978-1-4684-5218-1
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