On integro quartic spline interpolation

DOI10.1016/j.cam.2012.05.017zbMath1248.65018OpenAlexW1989974108MaRDI QIDQ442701

Feng-Gong Lang, Xiao-Ping Xu

Publication date: 3 August 2012

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.2012.05.017

zbMATH Keywords

numerical exampleserror estimateintegral valueintegro spline interpolationquartic B-spline representationquartic spline interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05)

Related Items (15)

Integro quintic splines and their approximation properties ⋮ An enhanced quartic B-spline method for a class of non-linear fifth-order boundary value problems ⋮ A new quintic spline method for integro interpolation and its error analysis ⋮ An integro quadratic spline approach for a class of variable-order fractional initial value problems ⋮ On algebraic trigonometric integro splines ⋮ Integro spline quasi-interpolants and their super convergence ⋮ \( \mathcal{C}^1\) superconvergent quasi-interpolation based on polar forms ⋮ Superconvergent spline quasi-interpolants and an application to numerical integration ⋮ On local integro quartic splines ⋮ A numerical approach for solving a class of variable-order fractional functional integral equations ⋮ ALGORITHM TO CONSTRUCT INTEGRO SPLINES ⋮ Integro quadratic spline interpolation ⋮ Convergence of Integro Quartic and Sextic B-Spline interpolation ⋮ The local integro splines with optimized knots ⋮ On the superconvergence of some quadratic integro-splines at the mid-knots of a uniform partition

Cites Work

• Quartic B-spline collocation method for fifth order boundary value problems
• Interpolation by integro quintic splines
• The local integro cubic splines and their approximation properties
• A practical guide to splines
• A spline interpolation technique that preserves mass budgets
• Approximation by integro cubic splines
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions
• An Introduction to Numerical Analysis
• Function reconstruction from noisy local averages
• The use of cubic splines in the solution of two-point boundary value problems
• A regularization method for the function reconstruction from approximate average fluxes
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