Superconvergence of a Collocation-Type Method for Simple Turning Points of Hammerstein Equations

DOI10.2307/2008614zbMath0647.65091OpenAlexW4234586280MaRDI QIDQ3792199

Sunil Kumar

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2008614

zbMATH Keywords

collocation methodssuperconvergenceturning pointHammerstein equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (6)

Product integration method for treating a nonlinear Volterra integral equation with a weakly singular kernel ⋮ Superconvergence phenomena in the finite element method ⋮ A sinc quadrature method for the Urysohn integral equation ⋮ A fast multiscale solver for modified Hammerstein equations ⋮ A projection method for computing turning points of nonlinear equations ⋮ Multilevel methods for the approximation of singular solutions of completely continuous operator equations

Cites Work

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• Collocation methods using piecewise polynomials for second kind integral equations
• Collectively compact approximations of integral operators with discontinuous kernels
• Piecewise Continuous Collocation for Integral Equations
• Iterated Galerkin versus Iterated Collocation for Integral Equations of the Second Kind
• Superconvergence of a Collocation-type Method for Hummerstein Equations
• The Calculation of Turning Points of Nonlinear Equations
• The Convergence of Operator Approximations at Turning Points
• A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel
• A New Collocation-Type Method for Hammerstein Integral Equations
• On the Approximation of Fixed Points of Nonlinear Compact Operators
• Uniform Approximation Theory for Integral Equations with Discontinuous Kernels

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