Instability, chaos, and growth and decay of energy of time‐stepping schemes for non‐linear dynamic equations

DOI10.1002/cnm.1640100505zbMath0808.65076OpenAlexW1986377672MaRDI QIDQ4306924

Grant P. Steven, Yi-Min Xie

Publication date: 22 September 1994

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1640100505

zbMATH Keywords

instabilitychaosnumerical examplesnumerical experimentsunconditional stabilitynonlinear dynamical systemsNewmark time-stepping scheme

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Dynamical systems and ergodic theory (37-XX)

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