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

Authors:
Byron L. Ehle and Zdenek Picel

Journal:
Math. Comp. **29** (1975), 501-511

MSC:
Primary 65L99; Secondary 65D15

MathSciNet review:
0375737

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Abstract | References | Similar Articles | Additional Information

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 , are presented.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1975-0375737-7

Keywords:
*A*-acceptable,
exponential fitting,
stiff equations

Article copyright:
© Copyright 1975
American Mathematical Society