High-order quadrature rules based on spline quasi-interpolants and application to integral equations

DOI10.1016/j.apnum.2011.12.004zbMath1246.65048OpenAlexW2081558101MaRDI QIDQ413614

Driss Sbibih, Paul Sablonniere, Mohamed Tahrichi

Publication date: 7 May 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.12.004

zbMATH Keywords

Fredholm integral equationquadrature ruleendpoint correctionGregory rulespline quasi-interpolant

Mathematics Subject Classification ID

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

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Cites Work

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• Error estimate and extrapolation of a quadrature formula derived from a quartic spline quasi-interpolant
• On Gregory-and modified Gregory-type corrections to Newton-Cotes quadrature
• A quadrature formula associated with a univariate spline quasi interpolant
• Modified gregory formulae based on mixed interpolation
• High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
• A superconvergence result for solutions of compact operator equations
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• Optimale Fehlerschranken für die Quadraturformel von Gregory

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