A new basis for osculatory interpolation problems and applications

DOI10.1016/j.amc.2016.02.060zbMath1410.65033OpenAlexW2307552432MaRDI QIDQ1733432

A. Lamnii, F. Oumellal, M. Lamnii

Publication date: 21 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.2016.02.060

zbMATH Keywords

spline approximationHermite interpolationsmoothing of functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

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Uses Software

• pchip
• SplinePak

Cites Work

• Unnamed Item
• Fitting data using optimal Hermite type cubic interpolating splines
• On Hermite interpolation with B-splines
• A simple method for smoothing functions and compressing Hermite data
• Uniform rational approximation with osculatory interpolation
• Spline Functions
• Explicit forms for certain Hermite approximations
• On Shape Preserving Quadratic Spline Interpolation
• Monotone Piecewise Cubic Interpolation
• Monotone and Convex Spline Interpolation
• Scalar- and planar-valued curve fitting using splines under tension
• Hermite interpolation visits ordinary two-point boundary value problems
• On shape preserving \(C^2\) Hermite interpolation
• Osculatory interpolation

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