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math.NA2023
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…
math.NA2023
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)…
eess.SY2023★ 1 cited
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…