Estimation of numerically stable step-size for neutral delay-differential equations via spectral radius

DOI10.1016/S0377-0427(96)00153-7zbMath0868.65054OpenAlexW1964624264MaRDI QIDQ676156

Guang-Di Hu, Guang-Da Hu, Ming-Zhu Liu

Publication date: 7 July 1997

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00153-7

zbMATH Keywords

stabilitymesh generationlinear multistep methodsexplicit Runge-Kutta methodsneutral delay-differential equations

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) Neutral functional-differential equations (34K40) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

Continuous pole placement for delay equations ⋮ The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations ⋮ Estimations on numerically stable step-size for neutral delay differential systems with multiple delays

Cites Work

• Unnamed Item
• Inertia characteristics of self-adjoint matrix polynomials
• Stability analysis of one-step methods for neutral delay-differential equations
• The asymptotic stability of one-parameter methods for neutral differential equations
• Stability analysis of numerical methods for systems of neutral delay-differential equations
• On the numerical integration of a symmetric system of difference- differential equations of neutral type

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