Two-grid methods for the solution of nonlinear weakly singular integral equations by piecewise polynomial collocation

DOI10.1216/jiea/1181074317zbMath0976.65119OpenAlexW1994247322MaRDI QIDQ5939737

Enn Tamme

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/Vol11-2/CONT11-2/CONT11-2.html

zbMATH Keywords

convergencenonlinear weakly singular integral equationspiecewise polynomial collocation methodtwo-grid iteration method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Singular nonlinear integral equations (45G05)

Related Items

Convergence analysis of sinc-collocation methods for nonlinear Fredholm integral equations with a weakly singular kernel, Convergence analysis of the Jacobi-collocation method for nonlinear weakly singular Volterra integral equations

Cites Work

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• Multidimensional weakly singular integral equations
• Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations
• A survey of numerical methods for solving nonlinear integral equations
• Numerical solutions for weakly singular Hammerstein equations and their superconvergence
• Two-grid methods for nonlinear multi-dimensional weakly singular integral equations
• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• Two-Grid Iteration Methods for Linear Integral Equations of the Second Kind on Piecewise Smooth Surfaces in $\mathbb{R}^3 $
• The numerical solution of a non-linear boundary integral equation on smooth surfaces
• A Fast Multilevel Algorithm for Integral Equations