The discrete Petrov-Galerkin method for weakly singular integral equations

DOI10.1216/jiea/1181074260zbMath0974.65122OpenAlexW2088792737MaRDI QIDQ5939730

Yuesheng Xu, Zhongying Chen, Jiansheng 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/VOL11-1/CONT11-1/CONT11-1.html

zbMATH Keywords

convergencecomparison of methodsnumerical examplescollocation methodssuperconvergenceFredholm integral equations of the second kindPetrov-Galerkin methodsquadrature methodsweakly singular kernels

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Cites Work

• Unnamed Item
• Multidimensional weakly singular integral equations
• The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
• Piecewise Continuous Collocation for Integral Equations
• The Discrete Galerkin Method for Integral Equations
• On the Discrete Galerkin Method for Fredholm Integral Equations of the Second Kind
• On Lattices Admitting Unique Lagrange Interpolations
• The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations
• The Numerical Solution of Fredholm integral Equations of the Second Kind

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