Asymptotic stability of general linear methods for systems of linear neutral delay differential-algebraic equations

DOI10.1080/00207160.2014.914178zbMath1317.65158OpenAlexW1975000919MaRDI QIDQ5259078

Jiaoxun Kuang, Quanhong Yu, Hong-Jiong Tian

Publication date: 24 June 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.914178

zbMATH Keywords

asymptotic stabilitynumerical stabilitygeneral linear methodsstrong A-stabilityneutral delay differential-algebraic equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

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Cites Work

• Unnamed Item
• On the asymptotic stability of coupled delay differential and continuous time difference equations
• Stability analysis of numerical methods for delay differential equations
• Computing breaking points in implicit delay differential equations
• Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions
• Simultaneous equations models in applied search theory
• The asymptotic stability of one-parameter methods for neutral differential equations
• Asymptotic stability of linear delay differential-algebraic equations and numerical methods
• Numerical treatment of retarded differential-algebraic equations by collocation methods
• NGP(\(\alpha\))-stability of general linear methods for NDDEs
• Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems
• Asymptotic and numerical stability of systems of neutral differential equations with many delays
• Delay-differential-algebraic equations in control theory
• Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Linear Multistep Methods
• Singular linear systems of differential equations with delays
• The stability of the block θ-methods
• The Numerical Solution of Delay-Differential-Algebraic Equations of Retarded and Neutral Type
• Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Runge--Kutta Methods
• Existence and uniqueness theorems for an implicit delay differential equation
• Algebraic criteria for stability of linear neutral systems with a single delay
• Linear stability of general linear methods for systems of neutral delay differential equations

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