A general convergence theory for nonlinear equations with application to integro-differential equations

DOI10.1016/S0168-9274(96)00052-9zbMath0868.65099OpenAlexW1986170027MaRDI QIDQ5961726

Mahadevan Ganesh

Publication date: 18 August 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(96)00052-9

zbMATH Keywords

error estimatenonlinear integro-differential equationsfinite differencediscrete convergenceNyström approximation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Analysis of approximation methods for differential and integral equations
• Stability and Convergence in Numerical Analysis III: Linear Investigation of Nonlinear Stability
• Discrete Closure and Asymptotic (Quasi-) Regularity in Discretization Algorithms
• A unified framework for the discretization of nonlinear operator equations
• Approximation Methods for Nonlinear Problems with Application to Two-Point Boundary Value Problems
• A General Theory for the Approximate Solution of Operator Equations of the Second Kind
• Über diskrete Approximationen nichtlinearer Gleichungen 1. Art
• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• Convergence of Discretizations of Nonlinear Problems. A General Approach
• Orthogonal collocation for a nonlinear integro-differential equation
• On the Approximation of Fixed Points of Nonlinear Compact Operators
• The Numerical Evaluation of Fixed Points for Completely Continuous Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A general convergence theory for nonlinear equations with application to integro-differential equations