A superconvergent cubic spline quasi-interpolant and application

DOI10.1007/s13370-014-0303-6zbMath1332.65020OpenAlexW2015262535MaRDI QIDQ898028

A. Boujraf, Driss Sbibih, Mohamed Tahrichi, Ahmed Tijini

Publication date: 8 December 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0303-6

zbMATH Keywords

superconvergenceerror estimatequadrature formulaB-splinenumerical resultquasi-interpolant

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (11)

Algebraic hyperbolic spline quasi-interpolants and applications ⋮ A new quintic spline method for integro interpolation and its error analysis ⋮ A comparative analysis of local cubic splines ⋮ Superconvergent spline quasi-interpolants and an application to numerical integration ⋮ Convexity and monotonicity properties of the local integro cubic spline ⋮ A quasi-interpolation product integration based method for solving Love's integral equation with a very small parameter ⋮ A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation ⋮ The local integro splines with optimized knots ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming ⋮ Superconvergent methods based on cubic splines for solving linear integral equations ⋮ Non-uniform quasi-interpolation for solving Hammerstein integral equations

Cites Work

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• Quadratic spline quasi-interpolants and collocation methods
• On Chebyshev-type integral quasi-interpolation operators
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• Near-best univariate spline discrete quasi-interpolants on nonuniform partitions
• Local spline approximation methods
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• On Chebyshev-type discrete quasi-interpolants
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