Dissipativity of multistep methods for delay dynamical systems

DOI10.1016/S1007-5704(99)90062-XzbMath0937.65082OpenAlexW1977859386MaRDI QIDQ1307773

Cheng-Ming Huang

Publication date: 17 May 2000

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(99)90062-x

zbMATH Keywords

stabilityinitial value problemsdelay differential equationsmultistep methodsnumerical dissipativity

Mathematics Subject Classification ID

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 (1)

Delay dependent dissipativity for a class of nonlinear neutral delay differential equations

Cites Work

• Unnamed Item
• Dissipativity of Runge-Kutta methods in Hilbert spaces
• Infinite-dimensional dynamical systems in mechanics and physics
• Stability analysis of Runge-Kutta methods for nonlinear delay differential equations
• G-stability is equivalent toA-stability
• Global Dissipativity for A-Stable Methods
• A stability property of implicit Runge-Kutta methods
• Stability Criteria for Implicit Runge–Kutta Methods
• Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
• A special stability problem for linear multistep methods

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