Estimations on numerically stable step-size for neutral delay differential systems with multiple delays

DOI10.1016/S0377-0427(98)00215-5zbMath0948.65080OpenAlexW2111041209MaRDI QIDQ1300767

Baruch Cahlon, Guang-Da Hu

Publication date: 22 November 2000

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(98)00215-5

zbMATH Keywords

numerical examplesasymptotic stabilitynumerical stabilityexplicit Runge-Kutta methodsstepsize controlmultiple delaysexplicit linear multistep methodssystems of linear neutral delay 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) 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 (4)

The weighted logarithmic matrix norm and bounds of the matrix exponential ⋮ Delay-dependent stability of linear multi-step methods for linear neutral systems ⋮ Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations ⋮ Nonlinear stability of \(\theta \)-methods for neutral differential equations in Banach space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimation of numerically stable step-size for neutral delay-differential equations via spectral radius
• Inertia characteristics of self-adjoint matrix polynomials
• The asymptotic stability of one-parameter methods for neutral differential equations
• Some simple criteria for stability of neutral delay-differential systems
• Stability analysis of numerical methods for systems of neutral delay-differential equations
• Stability analysis of Runge-Kutta methods for systems of delay differential equations
• Stability of linear neutral delay-differential systems
• The Numerical Stability of Linear Multistep Methods for Delay Differential Equations with Many Delays

This page was built for publication: Estimations on numerically stable step-size for neutral delay differential systems with multiple delays