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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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A rational approximation to Weierstrass’ $P$-function
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by Ulrich Eckhardt PDF
Math. Comp. 30 (1976), 818-826 Request permission

Abstract:

A rational approximation to Weierstrass’ $\wp$-function in the equianharmonic case for unit period parallelogram is given. With a third-degree numerator polynomial and a fourth-degree denominator polynomial the maximal error for $|z| < 1/\sqrt 3$ becomes $3 \cdot {10^{ - 14}}$. The approximation of $\wp (z)$ is then used to calculate a rational approximation to $\wp ’(z)$ together with an error bound.
References
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Math. Comp. 30 (1976), 818-826
  • MSC: Primary 65D20; Secondary 33A25
  • DOI: https://doi.org/10.1090/S0025-5718-1976-0421042-0
  • MathSciNet review: 0421042