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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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The orders of approximation of the first derivative of cubic splines at the knots
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by D. Kershaw PDF
Math. Comp. 26 (1972), 191-198 Request permission

Abstract:

The order of approximation of the first derivative of four types of interpolating cubic splines are found. The splines are defined by a variety of endpoint conditions and include the natural cubic spline and the periodic cubic spline. It is found that for two types there is an increase in the order of approximation when equal intervals are used, and that for a special distribution of knots the same order can be realized for the natural spline.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Math. Comp. 26 (1972), 191-198
  • MSC: Primary 65D10
  • DOI: https://doi.org/10.1090/S0025-5718-1972-0300403-0
  • MathSciNet review: 0300403