Discrete polynomial-based Galerkin methods for Fredholm integral equations

DOI10.1216/jiea/1181075804zbMath0818.65132OpenAlexW1989738154MaRDI QIDQ1343032

Michael A. Golberg

Publication date: 15 August 1995

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075804

zbMATH Keywords

convergenceGaussian quadratureGalerkin methodslinear Fredholm integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (max. 100)

SPECTRAL APPROXIMATION METHODS FOR FREDHOLM INTEGRAL EQUATIONS WITH NON-SMOOTH KERNELS ⋮ Improved convergence rates for some discrete Galerkin methods ⋮ A note on the sparse representation of discrete integral operators ⋮ Spectral approximation methods for nonlinear integral equations with non-smooth kernels ⋮ Convergence and condition number of multi-projection operators by Legendre wavelets ⋮ Iterated discrete polynomially based Galerkin methods. ⋮ Unnamed Item ⋮ Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind ⋮ The discrete Sloan iterate for the generalized airfoil equation ⋮ Legendre Galerkin method for weakly singular Fredholm integral equations and the corresponding eigenvalue problem ⋮ Polynomially based multi-projection methods for Fredholm integral equations of the second kind ⋮ Optimal convergence rates for some discrete projection methods

Cites Work

• Perturbed projection methods for split equations of the first kind
• Parallel solution of Fredholm integral equations of the second kind by orthogonal polynomial expansions
• Error analysis for a class of degenerate kernel methods
• On Superconvergence Properties of Galerkin's Method for Compact Operator Equations
• On the Galerkin and Collocation Methods for a Cauchy Singular Integral Equation
• Discrete Galerkin Methods for Fredholm Integral Equations of the Second Kind
• The Discrete Galerkin Method for Integral Equations
• Improvement by Iteration for Compact Operator Equations
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