A comparison of the \(E(3)\) and not-a-knot cubic splines (Q1907086)
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scientific article; zbMATH DE number 839111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison of the \(E(3)\) and not-a-knot cubic splines |
scientific article; zbMATH DE number 839111 |
Statements
A comparison of the \(E(3)\) and not-a-knot cubic splines (English)
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29 January 1996
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Considering the end conditions which depend on the values at the knots, the author and \textit{N. Papamichael} [J. Inst. Math. Appl. 23, 355-366 (1979; Zbl 0407.65005)] introduced the class \(E(\alpha)\) of cubic splines which give rise to \(O(h^4)\) convergence. \(E(2)\) is the not-a-knot cubic spline. It is shown that \(E(3)\) is more accurate than \(E(2)\) and the former has the superconvergence properties.
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end conditions
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not-a-knot cubic spline
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superconvergence
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