An exponential method of numerical integration of ordinary differential equations

Authors:
David A. Pope
Affiliations:
Space Technology Lab, Redondo Beach, CA
Venue:
Communications of the ACM
Year:
1963

Citing 0
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Abstract

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.