DYNAMICS OF LINEAR MULTISTEP METHODS FOR DELAY DIFFERENTIAL EQUATIONS

DOI10.1142/S0218127404009132zbMath1071.65117MaRDI QIDQ4655569

Qian Guo, Hong-Jiong Tian

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical examplespurious solutionasymptotic behaviourlinear multistep methodsperiod two solutionnonlinear delay differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Periodic solutions to functional-differential equations (34K13) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (1)

Classical theory of linear multistep methods for Volterra functional differential equations

Cites Work

• Unnamed Item
• The Dynamics of the Theta Method
• A Unified Approach to Spurious Solutions Introduced by Time Discretisation. Part I: Basic Theory
• Spurious solutions of numerical methods for initial value problems
• Stability and Dynamics of Numerical Methods for Nonlinear Ordinary Differential Equations
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations

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