Two-parameter, arbitrary order, exponential approximations for stiff equations

Ehle, Byron L.; Picel, Zdenek

doi:10.1090/S0025-5718-1975-0375737-7

Two-parameter, arbitrary order, exponential approximations for stiff equations
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by Byron L. Ehle and Zdenek Picel PDF

Math. Comp. 29 (1975), 501-511 Request permission

Abstract:

A two-parameter family of approximations to the exponential function is considered. Constraints on the parameters are determined which guarantee the approximations are A-acceptable. The suitability of these approximations for 2-point A-stable exponential fitting is established. Several numerical methods, which produce these approximations when solving $y’ = \lambda y$, are presented.

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