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

DOI10.1016/j.amc.2017.03.025zbMath1411.65026OpenAlexW2605303229MaRDI QIDQ1738090

Aurelian jun. Bejancu

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.03.025

zbMATH Keywords

superconvergenceapproximation orderend conditionsemi-cardinal interpolationcubic and quintic B-spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Cites Work

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• Finite difference end conditions and semi-cardinal interpolation with quintic B-splines
• Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae
• Order-preserving derivative approximation with periodic radial basis functions
• Gradient Approximation on Uniform Meshes by Finite Differences and Cubic Spline Interpolation
• End Conditions for Interpolatory Quintic Splines
• End Conditions for Cubic Spline Interpolation
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• The Orders of Approximation of the First Derivative of Cubic Splines at the Knots

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