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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 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Practical throw-back interpolation
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by F. D. Burgoyne PDF
Math. Comp. 25 (1971), 115-117 Request permission

Abstract:

Precise conditions are determined for the validity of some frequently-used throwback interpolation formulae.
References
    L. Fox, Mathematical Tables, Vol. 1, H.M.S.O., London, 1956. Interpolation and Allied Tables, H.M.S.O., London, 1956. L. J. Comrie, British Association Mathematical Tables. Vol. 1, Cambridge Univ. Press, Cambridge, 1931.
  • J. C. P. Miller, Two numerical applications of Chebyshev polynomials, Proc. Roy. Soc. Edinburgh Sect. A 62 (1946), 204–210. MR 17583
  • Zdeněk Kopal, Numerical analysis. With emphasis on the application of numerical techniques to problems of infinitesimal calculus in single variable, John Wiley & Sons, Inc., New York, 1955. MR 0077213
  • G. J. Lidstone, Notes on interpolation. Part 2. III(i) continued. The origin of the throw-back device. IV. Aitken’s new method of inverse interpolation. V. The connexion of the throw-back with Stirling’s and Bessel’s formulae, J. Inst. Actuar. 71 (1941), 68–95. MR 4378
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 115-117
  • MSC: Primary 65.20
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0287665-2
  • MathSciNet review: 0287665