Gradient superconvergence for a class of semi-cardinal interpolation schemes with cubic and quintic B-splines

Aurelian Bejancu

Applied Mathematics and Computation, 2017, vol. 308, issue C, 142-148

Abstract: We solve the conjecture, formulated by Bejancu, Johnson, and Said (2014), on the gradient superconvergence of semi-cardinal interpolation with quintic B-splines, for a hierarchy of finite difference end conditions. We also establish the similar result for cubic B-splines.

Keywords: Semi-cardinal interpolation; Cubic and quintic B-spline; Approximation order; End condition; Superconvergence (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:308:y:2017:i:c:p:142-148

DOI: 10.1016/j.amc.2017.03.025

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