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Parallel Methods for the Numerical Integration of Ordinary Differential Equations

Willard L. Miranker and Werner Liniger
Mathematics of Computation
Vol. 21, No. 99 (Jul., 1967), pp. 303-320
DOI: 10.2307/2003233
Stable URL: http://www.jstor.org/stable/2003233
Page Count: 18
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Parallel Methods for the Numerical Integration of Ordinary Differential Equations
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Abstract

In this paper we derive a class of numerical integration formulas of a parallel type for ordinary differential equations. These formulas may be used simultaneously on a set of arithmetic processors to increase the integration speed. Conditions for the convergence of such formulas are formulated. Explicit examples for two and four processor cases are derived. Results of numerical experiments are given which show an effective improvement in computation speed.

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