Asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations

DOI10.1007/BF02669577zbMath0987.65066OpenAlexW56640444MaRDI QIDQ5942767

Xiao-Xin Liao, Cheng-Jian Zhang

Publication date: 9 June 2002

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02669577

zbMATH Keywords

stabilitysystemsdelay differential equationsasymptoticmultistep Runge-Kutta method

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) 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)

Related Items (1)

LDG method for reaction-diffusion dynamical systems with time delay

Cites Work

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• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• The Stability of Difference Formulas for Delay Differential Equations
• High Order Algebraically Stable Multistep Runge–Kutta Methods
• Special stability problems for functional differential equations

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