Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods
From MaRDI portal
Publication:2033632
DOI10.1007/s00466-020-01933-yOpenAlexW3111496824WikidataQ113326812 ScholiaQ113326812MaRDI QIDQ2033632
Runsen Zhang, Huimin Zhang, Pierangelo Masarati
Publication date: 17 June 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-020-01933-y
Related Items (7)
Performance of implicit A-stable time integration methods for multibody system dynamics ⋮ A two-step time integration method with desirable stability for nonlinear structural dynamics ⋮ Explicit smooth/nonsmooth cosimulation using kinematic constraints ⋮ Highly precise and efficient solution strategy for linear heat conduction and structural dynamics ⋮ On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables ⋮ A projection continuation approach for minimal coordinate set constrained dynamics ⋮ Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: accuracy analysis based on an analytical framework
Cites Work
- Unnamed Item
- Unnamed Item
- An improved implicit method with dissipation control capability: the simple generalized composite time integration algorithm
- A second-order accurate three sub-step composite algorithm for structural dynamics
- Diagonally implicit Runge-Kutta methods for stiff ODEs
- A novel family of explicit time marching techniques for structural dynamics and wave propagation models
- A robust composite time integration scheme for snap-through problems
- An overview and recent advances in vector and scalar formalisms: space/time discretizations in computational dynamics -- a unified approach
- Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
- A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Solving Ordinary Differential Equations I
- A First Course in the Numerical Analysis of Differential Equations
- An alpha modification of Newmark's method
- A new family of explicit time integration methods for linear and non‐linear structural dynamics
- Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
- Implicit Runge-Kutta Processes
- A special stability problem for linear multistep methods
- Numerical Methods for Ordinary Differential Equations
This page was built for publication: Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods
