An exponential method of numerical integration of ordinary differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1963 English Publisher:Association for Computing Machinery (ACM)Journal:Communications of the ACM, volume 6, pages 491-493 (issn: 0001-0782, eissn: 1557-7317,

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Authors: David A. Pope;

doi: 10.1145/366707.367592

An exponential method of numerical integration of ordinary differential equations

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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.

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Keywords

numerical analysis

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