Noniterative Integration Algorithms with Controllable Numerical Dissipations for Structural Dynamics

DOI10.1142/S0219876218501116zbMath1479.74043OpenAlexW2802522952MaRDI QIDQ5225925

Kaiping Yu, Jinze Li

Publication date: 29 July 2019

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876218501116

zbMATH Keywords

structural dynamicsdirect time integrationnoniterative algorithmsstructure-dependentcontrollable numerical dissipations

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

A two-step time integration method with desirable stability for nonlinear structural dynamics ⋮ Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics ⋮ Two Efficient Time-Marching Explicit Procedures Considering Spatially/Temporally-Defined Adaptive Time-Integrators ⋮ A second-order accurate three sub-step composite algorithm for structural dynamics ⋮ Enhanced studies on the composite sub-step algorithm for structural dynamics: the Bathe-like algorithm ⋮ An alternative to the Bathe algorithm ⋮ A Comparative Study of Two Families of Higher-Order Accurate Time Integration Algorithms ⋮ A dual-explicit model-based integration algorithm with higher-order accuracy for structural dynamics

Cites Work

• Unnamed Item
• BDF-like methods for nonlinear dynamic analysis
• The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
• A family of single-step Houbolt time integration algorithms for structural dynamics
• A family of second-order fully explicit time integration schemes
• A general technique to improve stability property for a structure-dependent integration method
• Assessment of explicit and semi-explicit classes of model-based algorithms for direct integration in structural dynamics
• Application of Weight Functions in Nonlinear Analysis of Structural Dynamics Problems
• Time Integration Method Based on Discrete Transfer Function
• A New Explicit Time Integration Scheme for Nonlinear Dynamic Analysis
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• A Pre´cis of Developments in Computational Methods for Transient Analysis
• An explicit method with improved stability property
• An alpha modification of Newmark's method
• The unimportance of the spurious root of time integration algorithms for structural dynamics
• Concurrent Multi-Domain Simulations in Structural Dynamics Using Multiple Grid and Multiple Time-Scale (MGMT) Method
• Numerical time integration for dynamic analysis using a new higher order predictor‐corrector method
• A special stability problem for linear multistep methods
• The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications

This page was built for publication: Noniterative Integration Algorithms with Controllable Numerical Dissipations for Structural Dynamics