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Home/Magazine Archive/August 1963 (Vol. 6, No. 8)/An exponential method of numerical integration of.../Abstract

An exponential method of numerical integration of ordinary differential equations

By David A. Pope
Communications of the ACM, August 1963, Vol. 6 No. 8, Pages 491-493
10.1145/366707.367592
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A formula for numerical integration is prepared, which involves an exponential term. This formula is compared to two standard integration methods, and it is shown that for a large class of differential equations, the exponential formula has superior stability properties for large step sizes. Thus this formula may be used with a large step size to decrease the total computing time for a solution significantly, particularly in those engineering problems where high accuracy is not needed.

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