4 citations · 6 across the 6 of their papers we have counts for
7 papers
The stabilized exponential-SAV approach preserving maximum bound principle for nonlocal Allen-Cahn equation
Xiaoqing Meng, Aijie Cheng, Zhengguang Liu
The nonlocal Allen-Cahn equation with nonlocal diffusion operator is a generalization of the classical Allen-Cahn equation. It satisfies the energy dissipation law and maximum boun…
The high-order exponential semi-implicit scalar auxiliary variable approach for nonlocal Cahn-Hilliard equation
Xiaoqing Meng, Aijie Cheng, Zhengguang Liu
The nonlocal Cahn-Hilliard (NCH) equation with nonlocal diffusion operator is more suitable for the simulation of microstructure phase transition than the local Cahn-Hilliard (LCH)…
Explicit formulas for the Variance of the State of a Linearized Power System driven by Gaussian stochastic disturbances
Xian Wu, Kaihua Xi, Aijie Cheng +3
We look into the fluctuations caused by disturbances in power systems. In the linearized system of the power systems, the disturbance is modeled by a Brownian motion process, and t…
Increasing the Synchronization Stability in Complex Networks
Xian Wu, Kaihua Xi, Aijie Cheng +2
We aim to increase the ability of a of coupled phase oscillators to maintain the synchronization when the system is affected by stochastic disturbances. We model the disturbances b…
Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of the Graph
Kaihua Xi, Zhen Wang, Aijie Cheng +3
The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system…
Synchronization of Power Systems under Stochastic Disturbances
Zhen Wang, Kaihua Xi, Aijie Cheng +4
The synchronization of power generators is an important condition for the proper functioning of a power system, in which the fluctuations in frequency and the phase angle differenc…
Fast procedures for Caputo fractional derivative and its applications to ordinary and partial differential equations
Zhengguang Liu, Aijie Cheng, Xiaoli Li +1
In this paper, we develop fast procedures for solving linear systems arising from discretization of ordinary and partial differential equations with Caputo fractional derivative w.…