Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics

DOI10.1016/j.cma.2022.114945OpenAlexW4224919002MaRDI QIDQ2142147

Jinze Li, Rui Zhao, Kaiping Yu

Publication date: 27 May 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.114945

zbMATH Keywords

structural dynamicsthird-order accuracyexplicit integrationdissipation controltwo-sub-step

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear dynamics ⋮ On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables ⋮ A suite of second-order composite sub-step explicit algorithms with controllable numerical dissipation and maximal stability bounds ⋮ On second-order \(s\)-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems

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