The stability of the \(\theta\)-methods in the numerical solution of delay differential equations with several delay terms

DOI10.1016/0377-0427(93)E0269-RzbMath0833.65085MaRDI QIDQ1899950

Jiaoxun Kuang, Hong-Jiong Tian

Publication date: 11 October 1995

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

zbMATH Keywords

stabilitynumerical experimentsdelay differential equationstheta-methods

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) General theory of functional-differential equations (34K05)

Related Items (8)

The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations ⋮ Investigations for a type of variable coefficient fractional subdiffusion equation with multidelay ⋮ Delay-dependent stability of linear multi-step methods for linear neutral systems ⋮ Stability analysis of LMMs for systems of neutral multidelay-differential equations ⋮ A Posteriori Error Analysis for Crank--Nicolson--Galerkin Type Methods for Reaction-Diffusion Equations with Delay ⋮ Nonlinear stability and asymptotic stability of implicit Euler method for stiff Volterra functional differential equations in Banach spaces ⋮ Numerical dynamics of a nonstandard finite-difference-\(\theta\) method for a red blood cell survival model ⋮ The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations

Cites Work

• Unnamed Item
• Stability analysis of numerical methods for delay differential equations
• Stability in linear multistep methods for pure delay equations
• Stability properties of numerical methods for solving delay differential equations
• P-stability properties of Runge-Kutta methods for delay differential equations
• On the asymptotic stability of \(\theta\)-methods for delay differential equations
• Ordinary and delay differential equations
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• The Stability of Difference Formulas for Delay Differential Equations
• Special stability problems for functional differential equations
• Highly Stable Multistep Methods for Retarded Differential Equations
• A Generalization of a Theorem of Bôcher
• Algorithms for Classical Stability Problems

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