Overview and novel insights into implicit/explicit composite time integration type methods—fall under the RK: no ifs, ands, or buts
Y Wang, X Xue, T Zhang, Q Dai, Y Liu, N Xie… - … Methods in Engineering, 2023 - Springer
In this paper, we provide an overview and describe some novel insights, designs and
developments, and demonstrate the general methodology and approach towards …
developments, and demonstrate the general methodology and approach towards …
Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics
An implicit family of composite s-sub-step integration algorithms is developed in this paper.
The proposed composite s-sub-step scheme is firstly designed to satisfy two requirements …
The proposed composite s-sub-step scheme is firstly designed to satisfy two requirements …
For direct time integrations: A comparison of the Newmark and ρ∞-Bathe schemes
We consider the unconditionally stable Newmark and ρ∞-Bathe methods for the direct time
integration of the finite element equations in structural dynamics and wave propagations. In …
integration of the finite element equations in structural dynamics and wave propagations. In …
Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear …
This paper reviews the published composite three‐sub‐step implicit algorithms all of which
adopt the trapezoidal rule in the first sub‐step. Three optimal families of three‐sub‐step …
adopt the trapezoidal rule in the first sub‐step. Three optimal families of three‐sub‐step …
An analysis of implicit time integration schemes for wave propagations
The objective of this paper is to investigate the optimal use of some time integration
schemes for the solution of transient wave propagation problems. We study the accuracy …
schemes for the solution of transient wave propagation problems. We study the accuracy …
Novel explicit time integration schemes for efficient transient analyses of structural problems
In this study, four sets of novel and enhanced two-stage explicit time integration schemes
are developed based on a unified set of unconventional approximations. For the …
are developed based on a unified set of unconventional approximations. For the …
Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics
No literature has reported an explicit integration algorithm to achieve controllable numerical
dissipation and identical third-order accuracy simultaneously. This paper develops two …
dissipation and identical third-order accuracy simultaneously. This paper develops two …
A novel family of controllably dissipative composite integration algorithms for structural dynamic analysis
In this paper, a new family of controllably dissipative composite algorithms is developed to
obtain reliable numerical response of structural dynamic problems. The proposed algorithm …
obtain reliable numerical response of structural dynamic problems. The proposed algorithm …
[HTML][HTML] An improved implicit method with dissipation control capability: The simple generalized composite time integration algorithm
W Kim - Applied Mathematical Modelling, 2020 - Elsevier
In this paper, a simple and accurate implicit composite time integration scheme is newly
developed for more efficient transient analyses of structural problems. The new scheme …
developed for more efficient transient analyses of structural problems. The new scheme …
Selecting the load at the intermediate time point of the ρ∞-Bathe time integration scheme
The objective of this paper is to identify the optimal load selection at the intermediate time
point of the ρ∞-Bathe time integration method. We study the truncation errors of the scheme …
point of the ρ∞-Bathe time integration method. We study the truncation errors of the scheme …