DYNAMICS OF LINEAR MULTISTEP METHODS FOR DELAY DIFFERENTIAL EQUATIONS
DOI10.1142/S0218127404009132zbMath1071.65117MaRDI QIDQ4655569
Publication date: 8 March 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
stabilitynumerical examplespurious solutionasymptotic behaviourlinear multistep methodsperiod two solutionnonlinear delay differential equations
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)
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Cites Work
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- 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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