End Conditions for Cubic Spline Interpolation

1 April 1979

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 23 (3) , 355-366
https://doi.org/10.1093/imamat/23.3.355

Abstract

A class of end conditions is derived for cubic spline interpolation at equally spaced knots. These conditions are in terms of function values at the knots and give rise to O(h⁴) spline approximations.

Keywords

EQUALLY SPACED
SPLINE INTERPOLATION
SPLINE APPROXIMATIONS
SPACED KNOTS
CUBIC SPLINE
FUNCTION VALUES

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