Superconvergence of functional approximation methods for integral equations

DOI10.1016/J.AML.2008.06.007zbMath1161.65094OpenAlexW2029289463MaRDI QIDQ1003884

Gnaneshwar Nelakanti, Guangqing Long

Publication date: 4 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.007

zbMATH Keywords

functionalFredholm integral equationsuperconvergencecollocationmulti-projection methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Algorithms for approximation of functions (65D15) Fredholm integral equations (45B05)

Related Items (1)

Iteration methods for Fredholm integral equations of the second kind based on spline quasi-interpolants

Cites Work

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• Richardson extrapolation of iterated discrete projection methods for eigenvalue approximation
• Iteration methods for Fredholm integral equations of the second kind
• The discrete multi-projection method for Fredholm integral equations of the second kind
• Application of the Superconvergence Properties of the Galerkin Approximation to the Calculation of Upper and Lower Bounds for Linear Functionals of Solutions of Integral Equations
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
• Approximate Solutions of Operator Equations
• The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations
• Fast Collocation Methods for Second Kind Integral Equations
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• The discrete Petrov-Galerkin method for weakly singular integral equations

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