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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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Table for third-degree spline interpolation with equally spaced arguments
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by T. N. E. Greville PDF
Math. Comp. 24 (1970), 179-183 Request permission

Abstract:

A table is given to facilitate the calculation of the parameters of the interpolating third-degree natural spline function for $n$ given data points $(n > 2)$ with equally spaced abscissas. The use of the table is described and the correctness of the algorithm is demonstrated.
References
  • I. J. Schoenberg, On spline functions, Inequalities (Proc. Sympos. Wright-Patterson Air Force Base, Ohio, 1965) Academic Press, New York, 1967, pp. 255–291. MR 0223801
  • K. A. Innanen, "An example of precise interpolation with a spline function," J. Computational Phys., v. 1, 1967, pp. 303–304.
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Math. Comp. 24 (1970), 179-183
  • MSC: Primary 65.20
  • DOI: https://doi.org/10.1090/S0025-5718-1970-0258238-1
  • MathSciNet review: 0258238