Approximation by shape preserving interpolation splines

DOI10.1016/S0168-9274(00)00029-5zbMath0983.65016OpenAlexW2077978429WikidataQ127778607 ScholiaQ127778607MaRDI QIDQ5937471

Abdelouahed Kouibia, Miguel Pasadas

Publication date: 3 April 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00029-5

zbMATH Keywords

algorithmmonotonicityconvergenceSobolev spacesplinesconvexitypositivityscattered datashape preserving interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Spline approximation (41A15)

Related Items (7)

A smoothing stochastic simulated annealing method for localized shapes approximation ⋮ Shape preserving curves using quadratic trigonometric splines ⋮ Piecewise rational interpolation by witch of Agnesi ⋮ Bivariate variational splines with monotonicity constraints ⋮ Shape-preserving positive trigonometric spline curves ⋮ Economic statistical splicing data using smoothing quadratic splines ⋮ Variational bivariate interpolating splines with positivity constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interpolation by smooth functions under restrictions on the derivatives
• Interpolation and approximation by monotone cubic splines
• Shape preserving interpolating cubic splines with geometric mesh
• Shape preserving interpolation by quadratic splines
• Two shape preserving Lagrange \(C^ 2\)-interpolants
• An always successful method in univariate convex \(C^ 2\) interpolation
• Smoothing variational splines
• Approximation in the finite element method
• Monotone interpolation of order 3 by C2 cubic splines
• Shape-Preserving C 2 Cubic Polynomial Interpolating Splines
• On Shape Preserving Quadratic Spline Interpolation
• Monotone and Convex Spline Interpolation
• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• Shape preserving C² cubic spline interpolation
• On Monotone and Convex Spline Interpolation
• An Analysis of Two Algorithms for Shape-Preserving Cubic Spline Interpolation
• Best Constrained Approximation in Hilbert Space and Interpolation by Cubic Splines Subject to Obstacles

This page was built for publication: Approximation by shape preserving interpolation splines