A constructive approach to nodal splines

DOI10.1016/j.cam.2006.04.004zbMath1122.65015OpenAlexW2048372313MaRDI QIDQ875177

Ralf Siewer

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.04.004

zbMATH Keywords

nodal splinespolynomial reproductionlocal spline interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items (7)

Nodal splines on compact intervals ⋮ Error estimates for discrete spline interpolation: Quintic and biquintic splines ⋮ Smoothness and error bounds of Martensen splines ⋮ Histopolating splines ⋮ Martensen splines and finite-part integrals ⋮ Quasi-nodal splines ⋮ Discrete splines and its applications

Cites Work

• Optimal local spline interpolants
• Compactly supported fundamental functions for spline interpolation
• Peano kernel error analysis for quadratic nodal spline interpolation
• A convergence result in nodal spline interpolation
• A nodal spline interpolant for the Gregory rule of even order
• Spline approximation by quasiinterpolants
• Gregory type quadrature based on quadratic nodal spline interpolation
• An identity for spline functions with applications to variation diminishing spline approximation
• Darstellung und Entwicklung des Restgliedes der Gregoryschen Quadraturformel mit Hilfe von Spline-Funktionen
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