The stability of natural Runge-Kutta methods for nonlinear delay differential equations
DOI10.1007/BF03167314zbMath0887.65093MaRDI QIDQ1365321
Publication date: 25 May 1998
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Lyapunov functionalsdelay differential equationsRunge-Kutta methods\(A\)-stabilityalgebraic stability
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) General theory of functional-differential equations (34K05)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- P-stability properties of Runge-Kutta methods for delay differential equations
- Stability analysis of one-step methods for neutral delay-differential equations
- Natural Runge-Kutta and projection methods
- A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
- Introduction to functional differential equations
- A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
- Stability analysis of numerical methods for systems of neutral delay-differential equations
- Asymptotic stability criteria for linear systems of difference- differential equations of neutral type and their discrete analogues
- Natural Continuous Extensions of Runge-Kutta Methods
- Special stability problems for functional differential equations
- Complete Algebraic Characterization of A-Stable Runge–Kutta Methods
- Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
This page was built for publication: The stability of natural Runge-Kutta methods for nonlinear delay differential equations
