The asymptotic stability of multistep multiderivative methods for systems of delay differential equations

DOI10.1016/S1007-5704(00)90019-4zbMath0962.65065OpenAlexW2068449038MaRDI QIDQ1570383

Qian-shun Chang, Cheng-Ming Huang

Publication date: 20 September 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(00)90019-4

zbMATH Keywords

asymptotic stability\(A\)-stabilitysystems of delay differential equationsmultistep multiderivative methods\(P\)-stability

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)

Cites Work

• Inertia characteristics of self-adjoint matrix polynomials
• P-stability properties of Runge-Kutta methods for delay differential equations
• The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations
• A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
• Stability analysis of LMMs for systems of neutral multidelay-differential equations
• Stability analysis of Runge-Kutta methods for systems of delay differential equations
• The Stability of Difference Formulas for Delay Differential Equations
• Special stability problems for functional differential equations
• Stability of Runge-Kutta methods for delay differential systems with multiple delays

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