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 …

Imposing displacements in implicit direct time integration & a patch test

G Noh, KJ Bathe - Advances in Engineering Software, 2023 - Elsevier
We consider the transient analysis of finite element models when an implicit direct time
integration scheme is used and focus on the accuracy of the response solution when time …

On an accurate A-posteriori error estimator and adaptive time stepping for the implicit and explicit composite time integration algorithms

Y Wang, T Zhang, X Zhang, S Mei, N Xie, X Xue… - Computers & …, 2022 - Elsevier
This paper focuses on the design of an accurate and versatile A-posteriori error estimation
and adaptive time stepping for general composite schemes and typical of the implicit ρ∞ …

The generalization of diagonally implicit Runge–Kutta–Nyström method with controllable numerical dissipation for structural dynamics

Y Wang, X Xue, T Wang, N Xie, H Jia, Z Hu… - Nonlinear …, 2024 - Springer
This paper strictly focuses upon novel designs of the time-integration algorithms as applied
to structural dynamics systems with or without physical damping. The significant advances …

Thermal contact analysis of cracked through-silicon via structures in integrated circuits

T Wu, T Xue, X Zhang - International Journal of Heat and Mass Transfer, 2025 - Elsevier
Thermal performance analysis is crucial for ensuring optimal operation in 3D integrated chip
(IC) systems with through-silicon vias (TSV). In this paper, we focuses on the thermal …

A truly self-starting composite isochronous integration analysis framework for first/second-order transient systems

Y Wang, N Xie, L Yin, X Lin, T Zhang, X Zhang… - Computers & …, 2023 - Elsevier
Due to the lack of and limited work done for first/second-order systems useful for
multidisciplinary problems, this paper proposes a new and novel composite isochronous …

High-order accurate multi-sub-step implicit integration algorithms with dissipation control for second-order hyperbolic problems

J Li, H Li, K Yu, R Zhao - arXiv preprint arXiv:2209.13820, 2022 - arxiv.org
This paper develops an implicit family of sub-step integration algorithms, which firstly
requires identical effective stiffness matrices and third-order consistency within each sub …

On the application of the GS4-1 framework for fluid dynamics and adaptive time-stepping via a universal A-posteriori error estimator

Y Wang, N Xie, L Yin, T Zhang, X Zhang… - International Journal of …, 2022 - emerald.com
Purpose The purpose of this paper is to describe a novel universal error estimator and the
adaptive time-stepping process in the generalized single-step single-solve (GS4-1) …

Investigation of heat transfer in cracked gun barrels

Y Zhang, T Xue, X Zhang - International Journal of Thermal Sciences, 2024 - Elsevier
Heat transfer process significantly affects the life span of gun barrels as it directly associates
to the thermoelastic dynamic responses, erosion, and wears of gun barrels. The previous …

[HTML][HTML] Algebraically stable SDIRK methods with controllable numerical dissipation for first/second-order time-dependent problems

Y Wang, X Xue, KK Tamma, NA Adams - Journal of Computational Physics, 2024 - Elsevier
In this paper, a family of four-stage singly diagonally implicit Runge-Kutta methods are
proposed to solve first-/second-order time-dependent problems, exhibiting the following …