Dissipativity of Runge-Kutta methods for Volterra functional differential equations
From MaRDI portal
Publication:624986
DOI10.1016/j.apnum.2010.11.002zbMath1215.65131OpenAlexW2057173171MaRDI QIDQ624986
Yuexin Yu, Liping Wen, Shou-fu Li
Publication date: 11 February 2011
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2010.11.002
Related Items (12)
Initial value problems with retarded argument solved by iterated quadratic splines ⋮ Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations ⋮ Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Multistep Runge-Kutta methods for Volterra integro-differential equations ⋮ Dissipativity and stability analysis for fractional functional differential equations ⋮ Dissipativity and contractivity of the second-order averaged \(\mathrm{L}1\) method for fractional Volterra functional differential equations ⋮ Convergence of one-leg methods for neutral delay integro-differential equations ⋮ Integration processes of delay differential equation based on modified Laguerre functions ⋮ Numerical dissipativity of neutral integro-differential equations with delay ⋮ Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity ⋮ Dissipativity and Contractivity Analysis for Fractional Functional Differential Equations and their Numerical Approximations ⋮ Exact and numerical stability analysis of reaction-diffusion equations with distributed delays
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dissipativity of Runge-Kutta methods in Hilbert spaces
- Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
- \(B\)-theory of Runge-Kutta methods for stiff Volterra functional differential equations
- Dissipativity of Volterra functional differential equations
- Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
- Dissipativity of \(\theta \)-methods for a class of nonlinear neutral delay differential equations
- Dissipativity of Runge-Kutta methods for neutral delay differential equations with piecewise constant delay
- A review of theoretical and numerical analysis for nonlinear stiff Volterra functional differential equations
- Introduction to functional differential equations
- Dissipativity of one-leg methods for dynamical systems with delays
- Dissipativity of \(\theta\)-methods for nonlinear Volterra delay-integro-differential equations
- Dissipativity of linear \(\theta \)-methods for integro-differential equations
- Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays
- G-stability is equivalent toA-stability
- High Order Contractive Runge–Kutta Methods for Volterra Functional Differential Equations
- Global Dissipativity for A-Stable Methods
- Non-linear stability of a general class of differential equation methods
- A stability property of implicit Runge-Kutta methods
- Stability Criteria for Implicit Runge–Kutta Methods
- Stability Analysis of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind
- Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
- The Order of Numerical Methods for Ordinary Differential Equations
- NUMERICAL AND ANALYTIC DISSIPATIVITY OF THE θ-METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH A BOUNDED VARIABLE LAG
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Dissipativity of Runge-Kutta methods for dynamical systems with delays
- A special stability problem for linear multistep methods
This page was built for publication: Dissipativity of Runge-Kutta methods for Volterra functional differential equations
