Bounding the Error in Spline Interpolation

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1974 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 16, pages 531-544 (issn: 0036-1445, eissn: 1095-7200,

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Authors: de Boor, Carl;

doi: 10.1137/1016085

Bounding the Error in Spline Interpolation

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Abstract

This paper is intended to illustrate by an example a generally useful technique for bounding interpolation error. At the same time, the particular example chosen is meant to call attention to an interesting and important unsolved problem in elementary polynomial spline theory.

Keywords

Roundoff error, Numerical interpolation

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