Stability properties of some algorithms for the solution of nonlinear dynamic vibration equations

DOI10.1002/cnm.1630040211zbMath0643.65044OpenAlexW2126044701MaRDI QIDQ3785841

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1002/cnm.1630040211

zbMATH Keywords

stabilitynonlinear oscillatorstime-stepping algorithmsnumerical experimentnonlinear dynamic vibration equationsnonlinear elastic spring

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

• An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations