SAC 2000: Electronic Proceedings

Computational Science Track

Track chair:S. Lakshmivarahan, University of Oklahoma
The following papers submitted to the Computational Science Track in SAC 2000 are available on-line:
A Parallel Algorithm for Nonlinear Volterra Integro-Differential Equations
 
Ruth ShawUniversity of New Brunswick
Abstract

Direct methods of solution for solving nonlinear Volterra integral and integro-differential equations are inherently serial and therefore have not received much attention for use on a parallel computer. It is possible, however, to make significant gains in speedup by employing some novel approaches to existing methods. It can be observed that when approximating the integral term, all approximations up to and including the kth step in the interval can be evaluated at the same time. The resulting algorithm is described here and several numerical examples illustrate the results. With the four-processor multicomputer utilized, speedups of 3 to 4 were realized.

Full paper
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