Improving stability domains of the implicit higher order accuracy method

DOI10.1002/nme.3204zbMath1242.74193OpenAlexW2013983337MaRDI QIDQ2894846

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Publication date: 2 July 2012

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

Full work available at URL: https://doi.org/10.1002/nme.3204

zbMATH Keywords

numerical time integrationnonlinear dynamic analysisimplicit higher order accuracy processimproving stability

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Thin bodies, structures (74K99) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (5)

Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics ⋮ Time Integration Method Based on Discrete Transfer Function ⋮ Modified differential transformation method for solving nonlinear dynamic problems ⋮ A Comparative Study of Two Families of Higher-Order Accurate Time Integration Algorithms ⋮ Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics

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• Higher derivative explicit one step methods for non‐linear dynamic problems. Part II: Practical calculations and comparisons with other higher order methods
• A Weighted Residual Parabolic Acceleration Time Integration Method for Problems in Structural Dynamics

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