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Kurchatov-type methods for non-differentiable Hammerstein-type integral equations - MaRDI portal

Kurchatov-type methods for non-differentiable Hammerstein-type integral equations (Q2700014)

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Language	Label	Description	Also known as
English	Kurchatov-type methods for non-differentiable Hammerstein-type integral equations	scientific article

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scholarly article

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Kurchatov-type methods for non-differentiable Hammerstein-type integral equations (English)

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Eulalia Martínez

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Miguel Ángel Hernández-Verón

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Numerical Algorithms

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publication date

20 April 2023

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zbMATH Keywords

Hammerstein-type integral equations

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divided differences

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Kurchatov-type iterative processes

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11075-022-01406-8

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On a theorem of L.V. Kantorovich concerning Newton's method.

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On the Newton-Kantorovich hypothesis for solving equations

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A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type

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Newton’s Method: an Updated Approach of Kantorovich’s Theory

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Domains of global convergence for Newton's method from auxiliary points

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Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations

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Nonlinear Fredholm integral equations and majorant functions

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Mild Differentiability Conditions for Newton's Method in Banach Spaces

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On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods

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Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method

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On nonlinear Fredholm integral equations with non‐differentiable Nemystkii operator

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The secant method for nondifferentiable operators

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A uniparametric family of iterative processes for solving nondifferentiable equations

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The convergence ball of the secant method under Hölder continuous divided differences

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Application of Euler matrix method for solving linear and a class of nonlinear Fredholm integro-differential equations

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Application of operational matrices for solving system of linear Stratonovich Volterra integral equation

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Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions

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New approach for numerical solution of Hammerstein integral equations

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Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method

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The spectral method for solving systems of Volterra integral equations

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Identifiers

10.1007/s11075-022-01406-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2700014

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