Weak delay-dependent stability of Runge-Kutta methods for differential systems with distributed delays
DOI10.1016/j.cam.2018.03.025zbMath1448.65069OpenAlexW2800364476MaRDI QIDQ1639526
Yuhao Cong, Yanpei Wang, Guang-Da Hu
Publication date: 13 June 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.03.025
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07)
Related Items (5)
Cites Work
- Unnamed Item
- Delay-dependent stability analysis of symmetric boundary value methods for linear delay integro-differential equations
- Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations
- Stability of linear multistep methods for delay integro-differential equations
- Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays
- Runge-Kutta theory for Volterra integrodifferential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Stability properties of a scheme for the approximate solution of a delay- integro-differential equation
- Instability of Runge-Kutta methods when applied to linear systems of delay differential equations
- Computing stability of differential equations with bounded distributed delays
- Stability of \(\vartheta\)-methods for delay integro-differential equations.
- Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
- Stability of Runge-Kutta methods for delay integro-differential equations
- Delay-dependent stability of numerical methods for delay differential systems of neutral type
- Computable stability criterion of linear neutral systems with unstable difference operators
- Systems with Delays
- Runge-Kutta Theory for Volterra Integral Equations of the Second Kind
- Asymptotic Stability Barriers for Natural Runge--Kutta Processes for Delay Equations
- An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays
- Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
- Analysis of delay-dependent stability of linear -methods for linear delay-integro-differential equations
- General Linear Methods for Volterra Integro-differential Equations with Memory
- Matrix theory. Basic results and techniques
This page was built for publication: Weak delay-dependent stability of Runge-Kutta methods for differential systems with distributed delays