Numerical stability of the \(\theta\)-methods for systems of differential equations with several delay terms
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Publication:808193
DOI10.1016/0377-0427(91)90090-7zbMath0731.65072OpenAlexW1965833286MaRDI QIDQ808193
Publication date: 1991
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(91)90090-7
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)
Related Items (14)
Continuous parallel block methods and their applications ⋮ \(\mathcal H\)-stability of linear \(\theta\)-method with general variable stepsize for system of pantograph equations with two delay terms ⋮ Numerical stability analysis of numerical methods for Volterra integral equations with delay argument ⋮ Interface stabilization of a parabolic-hyperbolic PDE system with delay in the interaction ⋮ A novel mathematical model of heterogeneous cell proliferation ⋮ Numerical radius for the asymptotic stability of delay differential equations ⋮ Stability of \(\vartheta\)-methods for delay integro-differential equations. ⋮ \(\mathcal H\)-stability of Runge-Kutta methods with general variable stepsize for pantograph equation. ⋮ Stability analysis for linear delay differential equations and numerical examples ⋮ GP\(_G\)-stability of Runge-Kutta methods for generalized delay differential systems ⋮ Stability analysis for delay differential equations with multidelays and numerical examples ⋮ The numerical stability of multistep methods for Volterra integral equations with many delays ⋮ Stability estimates of difference schemes for neutral delay differential equations ⋮ Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag
Cites Work
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- Stability in linear multistep methods for pure delay equations
- Stability properties of numerical methods for solving delay differential equations
- P-stability properties of Runge-Kutta methods for delay differential equations
- On the asymptotic stability of \(\theta\)-methods for delay differential equations
- The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
- The Stability of Difference Formulas for Delay Differential Equations
- Special stability problems for functional differential equations
- Highly Stable Multistep Methods for Retarded Differential Equations
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