Asymptotic stability in the numerical solution of linear pure delay differential equations as abstract Cauchy problems

DOI10.1016/S0377-0427(99)00140-5zbMath0941.65075MaRDI QIDQ1964112

Stefano Maset

Publication date: 20 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

discretizationabstract Cauchy problemasymptotic stabilitydelay differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear functional-differential equations (34K06) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

Magnus integrators for linear and quasilinear delay differential equations ⋮ Analytical and numerical stability of neutral delay integro-differential equations and neutral delay partial differential equations ⋮ Method of lines approximations of delay differential equations

Cites Work

• Unnamed Item
• Stability in linear multistep methods for pure delay equations
• Stability properties of numerical methods for solving delay differential equations
• A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
• On the asymptotic stability properties of Runge-Kutta methods for delay differential equations
• Order stars and stability for delay differential equations
• Delay equations. Functional-, complex-, and nonlinear analysis
• Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems
• Delay dependent stability regions of  -methods for delay differential equations
• Special stability problems for functional differential equations

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