On the Discrete Galerkin Method for Fredholm Integral Equations of the Second Kind

DOI10.1093/imanum/9.3.385zbMath0678.65093OpenAlexW2067273500MaRDI QIDQ3834997

Florian A. Potra, Kendall E. Atkinson

Publication date: 1989

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/9.3.385

zbMATH Keywords

Galerkin methodFredholm integral equations of the second kindorder of convergenceNyström methodsNumerical results

Mathematics Subject Classification ID

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

Related Items (8)

SPECTRAL APPROXIMATION METHODS FOR FREDHOLM INTEGRAL EQUATIONS WITH NON-SMOOTH KERNELS ⋮ Discrete Galerkin and iterated discrete Galerkin methods for derivative-dependent Fredholm-Hammerstein integral equations with Green's kernel ⋮ The discrete Petrov-Galerkin method for weakly singular integral equations ⋮ Asymptotic error analysis of a quadrature method for integral equations with Green's function kernels ⋮ Richardson extrapolation of iterated discrete Galerkin method for eigenvalue problem of a two dimensional compact integral operator ⋮ A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method ⋮ A discrete collocation scheme to solve Fredholm integral equations of the second kind in high dimensions using radial kernels ⋮ A kernel-based technique to solve three-dimensional linear Fredholm integral equations of the second kind over general domains

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