Asymptotic error analysis of a quadrature method for integral equations with Green's function kernels

DOI10.1216/jiea/1020282235zbMath0978.65126OpenAlexW2063987908MaRDI QIDQ5939766

James A. Pennline, William F. Ford, Yuesheng Xu, Yun-He Zhao

Publication date: 30 July 2001

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

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL12-4/CONT12-4/CONT12-4.html

zbMATH Keywords

numerical examplesFréchet differentiableBernoulli numberquadrature methodasymptotic error analysisGreen's function kernelRichardson extrapolation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Asymptotic Expansions for Approximate Eigenvalues of Integral Operators with Nonsmooth Kernels ⋮ Asymptotic expansion of iterated Galerkin solution of Fredholm integral equations of the second kind with Green's kernel ⋮ Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels ⋮ Asymptotic expansions for approximate solutions of Fredholm integral equations with Green's function type kernels ⋮ Superconvergent methods based on quasi-interpolating operators for Fredholm integral equations of the second kind. ⋮ Richardson Extrapolation of Superconvergent Projection-Type Methods for Hammerstein Equations* ⋮ Singular non-linear two-point boundary value problems: existence and uniqueness ⋮ ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS

Cites Work

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