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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Table for third-degree spline interpolation with equally spaced arguments


Author: T. N. E. Greville
Journal: Math. Comp. 24 (1970), 179-183
MSC: Primary 65.20
MathSciNet review: 0258238
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Abstract | References | Similar Articles | Additional Information

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

  • [1] 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 (36 #6848)
  • [2] 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

DOI: http://dx.doi.org/10.1090/S0025-5718-1970-0258238-1
PII: S 0025-5718(1970)0258238-1
Keywords: Natural cubic spline interpolation, smoothest interpolating function, generating functions
Article copyright: © Copyright 1970 American Mathematical Society