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Practical throw-back interpolation

Author: F. D. Burgoyne
Journal: Math. Comp. 25 (1971), 115-117
MSC: Primary 65.20
MathSciNet review: 0287665
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Abstract: Precise conditions are determined for the validity of some frequently-used throwback interpolation formulae.

References [Enhancements On Off] (What's this?)

    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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Keywords: Throw-back interpolation, precise conditions for validity, Bessel formula, Everett formula, fifth differences negligible, sixth differences negligible
Article copyright: © Copyright 1971 American Mathematical Society