Delay-dependent stability analysis of trapezium rule for second order delay differential equations with three parameters

DOI10.1016/j.jfranklin.2010.06.013zbMath1207.65102OpenAlexW1988734128MaRDI QIDQ613367

Cheng-Ming Huang, Si-qing Gan, Wen-Hao Li

Publication date: 20 December 2010

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.06.013

zbMATH Keywords

trapezoidal rulesecond order delay differential equationsconservation of stabilityDelay dependent stability

Mathematics Subject Classification ID

Related Items (6)

Delay-dependent stability of symmetric Runge-Kutta methods for second order delay differential equations with three parameters ⋮ Delay-dependent stability analysis of symmetric boundary value methods for linear delay integro-differential equations ⋮ Delay-dependent stability of linear multistep methods for DAEs with multiple delays ⋮ Analytical and numerical stability of nonlinear neutral delay integro-differential equations ⋮ Delay-dependent stability of symmetric schemes in boundary value methods for DDEs ⋮ Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters

Cites Work

• Discrete delay, distributed delay and stability switches
• Stability properties of a scheme for the approximate solution of a delay- integro-differential equation
• On the asymptotic stability properties of Runge-Kutta methods for delay differential equations
• Stability of Runge-Kutta methods for linear delay differential equations
• Order stars and stability for delay differential equations
• Delay equations. Functional-, complex-, and nonlinear analysis
• On the stability of Volterra integral equations with a lagging argument
• Geometric proofs of numerical stability for delay equations
• Delay dependent stability regions of  -methods for delay differential equations
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Delay-dependent stability analysis of trapezium rule for second order delay differential equations with three parameters