Error estimate and extrapolation of a quadrature formula derived from a quartic spline quasi-interpolant

DOI10.1007/s10543-010-0278-0zbMath1206.65126OpenAlexW2013458080MaRDI QIDQ616160

Driss Sbibih, Mohamed Tahrichi, Paul Sablonniere

Publication date: 7 January 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-010-0278-0

zbMATH Keywords

numerical examplesFredholm integral equation of second kindquadrature formulaNyström methodspline quasi-interpolationPeano kernelexplicit quadrature errorquatric splineuniform partition

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for integral equations (65R20) Numerical interpolation (65D05) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05)

Related Items (10)

High-order quadrature rules based on spline quasi-interpolants and application to integral equations ⋮ Numerical integration based on bivariate quadratic spline quasi-interpolants on Powell-Sabin partitions ⋮ Solving Fredholm integral equations by approximating kernels by spline quasi-interpolants ⋮ Quadrature formulas descending from BS Hermite spline quasi-interpolation ⋮ Unnamed Item ⋮ \( \mathcal{C}^1\) superconvergent quasi-interpolation based on polar forms ⋮ Superconvergent spline quasi-interpolants and an application to numerical integration ⋮ Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs ⋮ Richardson extrapolation of Nyström method associated with a sextic spline quasi-interpolant ⋮ Numerical methods based on spline quasi-interpolating operators for Hammerstein integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Product integration of singular integrands using quasi-interpolatory splines
• Numerical integration based on approximating splines
• Local spline approximation methods
• Linear integral equations.
• An algorithm for numerical integration based on quasi-interpolating splines
• A nodal spline interpolant for the Gregory rule of even order
• Integral equations. Theory and numerical treatment
• Gregory type quadrature based on quadratic nodal spline interpolation
• Numerical integration based on quasi-interpolating splines
• A quadrature formula associated with a univariate spline quasi interpolant
• The Numerical Solution of Integral Equations of the Second Kind
• Quasi-interpolatory splines based on Schoenberg points
• Theoretical Numerical Analysis

This page was built for publication: Error estimate and extrapolation of a quadrature formula derived from a quartic spline quasi-interpolant