An Exponential Method of Numerical Integration
of Ordinary Differential Equations

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.

CACM August, 1963

Pope, D. A.

CA630843 JB March 13, 1978 7:52 PM

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