Convergence of Runge-Kutta methods for neutral delay integro-differential equations
From MaRDI portal
Publication:671197
DOI10.1016/j.amc.2016.02.001zbMath1410.65265OpenAlexW2274700395MaRDI QIDQ671197
Publication date: 20 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.001
stabilityconvergencenumerical integrationerror estimationRunge-Kutta methodsneutral delay integro-differential equations
Integro-ordinary differential equations (45J05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for functional-differential equations (65L03)
Related Items (5)
Exponential fitting collocation methods for a class of Volterra integral equations ⋮ On almost automorphic type solutions of abstract integral equations, a Bohr-Neugebauer type property and some applications ⋮ Convergence of one-leg methods for neutral delay integro-differential equations ⋮ Explicit exponential Runge-Kutta methods for semilinear parabolic delay differential equations ⋮ Existence and uniqueness of periodic solutions for a kind of second-order neutral functional differential equation with delays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Waveform relaxation methods for functional differential systems of neutral type
- 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
- Dissipativity of Runge-Kutta methods for neutral delay integro-differential equations
- Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations
- Stability and B-convergence of general linear methods
- Nonlinear stability of Runge-Kutta methods for neutral delay integro-differential equations
- The extended one-leg methods for nonlinear neutral delay-integro-differential equations
- Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations
- Convergence of one-leg methods for nonlinear neutral delay integro-differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Stability analysis of Runge-Kutta methods for nonlinear delay differential equations
- Stability and error analysis of one-leg methods for nonlinear delay differential equations
- Introduction to functional differential equations
- Continuous Runge-Kutta methods for neutral Volterra integro-differential equations with delay
- Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
- 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 Runge-Kutta methods for delay integro-differential equations
- Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations
- \(L^\infty\) error estimates of discontinuous Galerkin methods for delay differential equations
- Discontinuous solutions of neutral delay differential equations
- Stability analysis of numerical methods for linear neutral Volterra delay-integro-differential system
- Dissipativity and asymptotic stability of nonlinear neutral delay integro-differential equations
- One-Step Methods of any Order for Neutral Functional Differential Equations
- Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations
- Non-linear stability of a general class of differential equation methods
- Stability Criteria for Implicit Runge–Kutta Methods
- Numerical Solution of Implicit Neutral Functional Differential Equations
- Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
- Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- The Numerical Stability of Linear Multistep Methods for Delay Differential Equations with Many Delays
- General Linear Methods for Volterra Integro-differential Equations with Memory
- D-convergence and GDN-stability of Runge-Kutta methods for a class of delay systems
This page was built for publication: Convergence of Runge-Kutta methods for neutral delay integro-differential equations
