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.References
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- D. Kershaw, The explicit inverses of two commonly occurring matrices, Math. Comp. 23 (1969), 189–191. MR 238478, DOI 10.1090/S0025-5718-1969-0238478-X
- D. Kershaw, Inequalities on the elements of the inverse of a certain tridiagonal matrix, Math. Comp. 24 (1970), 155–158. MR 258260, DOI 10.1090/S0025-5718-1970-0258260-5
- D. Kershaw, A note on the convergence of interpolatory cubic splines, SIAM J. Numer. Anal. 8 (1971), 67–74. MR 281318, DOI 10.1137/0708009
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