Quintic B-spline method for function reconstruction from integral values of successive subintervals

DOI10.1007/s11075-013-9731-xzbMath1295.65029OpenAlexW2150934503MaRDI QIDQ2249824

Feng-Gong Lang, Xiao-Ping Xu

Publication date: 3 July 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9731-x

zbMATH Keywords

numerical differentiationquintic B-splineapproximation of functionsintegral valuehigher derivativequintic spline interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15) Numerical differentiation (65D25) Simultaneous approximation (41A28)

Related Items (8)

Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto-Sivashinsky equation ⋮ A new quintic spline method for integro interpolation and its error analysis ⋮ On algebraic trigonometric integro splines ⋮ Integro spline quasi-interpolants and their super convergence ⋮ On local integro quartic splines ⋮ On an algorithm to adapt spline approximations to the presence of discontinuities ⋮ ALGORITHM TO CONSTRUCT INTEGRO SPLINES ⋮ Solution of a class of fourth order singular singularly perturbed boundary value problems by quintic B-spline method

Cites Work

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• Interpolation by integro quintic splines
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• Quintic B-spline collocation method for second order mixed boundary value problem
• Approximation by integro cubic splines
• An Introduction to Numerical Analysis
• A regularization method for the function reconstruction from approximate average fluxes

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