An improved higher-order explicit time integration method with momentum corrector for linear and nonlinear dynamics

DOI10.1016/J.APM.2021.05.013zbMath1481.70065OpenAlexW3167037761MaRDI QIDQ2247358

Tianhao Liu, Fanglin Huang, Shengyu Duan, Shanyao Deng, Weibin Wen, Dai-Ning Fang

Publication date: 17 November 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.05.013

zbMATH Keywords

time integrationstructural dynamicsexplicitmomentum corrector

Mathematics Subject Classification ID

Numerical interpolation (65D05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics ⋮ An improved adaptive formulation for explicit analyses of wave propagation models considering locally-defined self-adjustable time-integration parameters ⋮ Formulation and Analysis of a Cubic B-Spline-Based Time Integration Procedure for Structural Seismic Response Analysis ⋮ An efficient hybrid implicit time integration method with high accuracy for linear and nonlinear dynamics ⋮ On second-order \(s\)-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems ⋮ A novel sub-step explicit time integration method based on cubic B-spline interpolation for linear and nonlinear dynamics

Cites Work

• Unnamed Item
• Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
• A novel time-marching formulation for wave propagation analysis: the adaptive hybrid explicit method
• An improved sub-step time-marching procedure for linear and nonlinear dynamics with high-order accuracy and high-efficient energy conservation
• A quartic B-spline based explicit time integration scheme for structural dynamics with controllable numerical dissipation
• An explicit time integration method for structural dynamics using septuple B-spline functions
• A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods
• A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods
• A new family of explicit time integration methods for linear and non‐linear structural dynamics

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