Nonlinear stability of Runge-Kutta methods for neutral delay integro-differential equations

DOI10.1016/j.amc.2007.02.114zbMath1193.65123OpenAlexW2002667548MaRDI QIDQ990469

Liping Wen, Yuexin Yu, Shou-fu Li

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.114

zbMATH Keywords

stabilityasymptotic stabilityRunge-Kutta methodsneutral delay integro-differential equations

Mathematics Subject Classification ID

Related Items (19)

Superconvergence of discontinuous Galerkin method for neutral delay differential equations ⋮ The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations ⋮ Stability analysis of discontinuous Galerkin method for stiff Volterra functional differential equations ⋮ Dissipativity and asymptotic stability of nonlinear neutral delay integro-differential equations ⋮ Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays ⋮ A class of new Pouzet-Runge-Kutta-type methods for nonlinear functional integro-differential equations ⋮ Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations ⋮ Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations ⋮ Stability analysis of one-leg methods for nonlinear neutral delay integrodifferential equations ⋮ Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations ⋮ Convergence of Runge-Kutta methods for neutral delay integro-differential equations ⋮ Dissipativity of θ-methods for a class of nonlinear neutral delay integro-differential equations ⋮ Convergence of one-leg methods for neutral delay integro-differential equations ⋮ Superconvergent interpolants for collocation methods applied to Volterra integro-differential equations with delay ⋮ Integration processes of delay differential equation based on modified Laguerre functions ⋮ Numerical dissipativity of neutral integro-differential equations with delay ⋮ The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations ⋮ Dissipativity of one-leg methods for neutral delay integro-differential equations ⋮ An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations

Cites Work

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• Stability and error analysis of one-leg methods for nonlinear delay differential equations
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• Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations
• A stable numerical approach for implicit non-linear neutral delay differential equations
• Stability of \(\vartheta\)-methods for delay integro-differential equations.
• Stability of Runge-Kutta methods for delay integro-differential equations
• Stability analysis of numerical methods for linear neutral Volterra delay-integro-differential system
• Non-linear stability of a general class of differential equation methods
• Numerical Solution of Implicit Neutral Functional Differential Equations
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
• General Linear Methods for Volterra Integro-differential Equations with Memory

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