Solving non-linear problems by complex time step methods

DOI10.1002/cnm.493zbMath1054.74067OpenAlexW1989044728MaRDI QIDQ4537595

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Publication date: 1 July 2002

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

Full work available at URL: https://doi.org/10.1002/cnm.493

zbMATH Keywords

interpolationpseudo-force methodsingle-step time-marching algorithms

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods applied to problems in solid mechanics (74S20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

An energy conservation algorithm for nonlinear dynamic equation ⋮ A general framework for conservative single-step time-integration schemes with higher-order accuracy for a central-force system. ⋮ Free vibration of the nonlinear pendulum using hybrid Laplace Adomian decomposition method

Cites Work

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• hp-version finite elements for the space-time domain
• Explicit finite-difference methods for nonlinear dynamic systems: Froude's pendulum
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• A single-step algorithm for oscillatory problems
• Complex-time-step methods for transient analysis
• A co‐rotational element/time‐integration strategy for non‐linear dynamics

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