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Systolic arrays for group explicit methods for solving parabolic partial differential equations

Evans, David J. and Megson, Graham M. (1988) Systolic arrays for group explicit methods for solving parabolic partial differential equations. In: Bromley, Keith and Kung, Sun-Yuan and Swartzlander, Earl, (eds.) Proceedings of the International Conference on Systolic Arrays, San Diego, California, 25-27 May 1988. The Computer Society, Washington, D.C., pp. 315-329. ISBN 0818688602

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Official URL: http://dx.doi.org/10.1109/ARRAYS.1988.18072

Abstract

A systolic array implementation for solving parabolic equations numerically is presented. The finite-difference methods used are stable asymmetric approximations to the partial differential equations, which when coupled in groups of two adjacent points on the grid result in implicit equations that are easily converted to explicit form, thus offering many advantages suitable for solution by VLSI techniques. The regularity obtained from the grid structure and locality of data from groups of small size, combined with the attributes of truncation error cancellations and alternating the strategies of grid points, give unconditional stability and an efficient, systolic design.

Item Type:Book Section
Uncontrolled Keywords:VLSI, cellular arrays, difference equations, partial differential equations, VLSI techniques, finite-difference methods, grid points, group explicit methods, parabolic partial differential equations, stable asymmetric approximations, systolic array implementation, systolic design, truncation error cancellations, unconditional stability
Research Community:University of Westminster > Electronics and Computer Science, School of
ID Code:5714
Deposited On:27 Jan 2009 12:26
Last Modified:19 Oct 2009 15:43

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