A time-stepping procedure based on convolution for the mixed finite element approximation for porous media flow. - Aijie Cheng; Yongqiang Ren; Kaihua Xi (Appl. Math. Comput., 2012)

A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative. - Zhengguang Liu; Aijie Cheng; Xiaoli Li 008 (Appl. Math. Comput., 2017)

An hp-Galerkin method with fast solution for linear peridynamic models in one dimension. - Zhengguang Liu; Aijie Cheng; Hong Wang 018 (Comput. Math. Appl., 2017)

Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation. - Huan Liu 011; Aijie Cheng; Hong Wang 018; Jia Zhao 004 (Comput. Math. Appl., 2018)

A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative. - Zhengguang Liu; Aijie Cheng; Xiaoli Li 008 (Int. J. Comput. Math., 2018)

A Fast Discontinuous Galerkin Method for a Bond-Based Linear Peridynamic Model Discretized on a Locally Refined Composite Mesh. - Huan Liu 011; Aijie Cheng; Hong Wang 018 (J. Sci. Comput., 2018)

A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion Equations with Fractional Derivative Boundary Conditions. - Meng Zhao; Hong Wang 018; Aijie Cheng (J. Sci. Comput., 2018)

Visibility Forecast for Airport Operations by LSTM Neural Network. - Tuo Deng; Aijie Cheng; Wei Han; Hai-Xiang Lin (ICAART (2), 2019)

A fast compact finite difference method for quasilinear time fractional parabolic equation without singular kernel. - Huan Liu 011; Aijie Cheng; Hongjie Yan; Zhengguang Liu; Hong Wang 018 (Int. J. Comput. Math., 2019)

A Preconditioned Fast Collocation Method for a Linear Nonlocal Diffusion Model in Convex Domains. - Xuhao Zhang; Aijie Cheng; Hong Wang 018 (IEEE Access, 2020)

A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation. - Huan Liu 011; Aijie Cheng; Hong Wang 018 (J. Comput. Appl. Math., 2020)

A Parareal Finite Volume Method for Variable-Order Time-Fractional Diffusion Equations. - Huan Liu 011; Aijie Cheng; Hong Wang 018 (J. Sci. Comput., 2020)

Sample Regenerating Particle Filter Combined With Unequal Weight Ensemble Kalman Filter for Nonlinear Systems. - Xiao Li; Aijie Cheng; Hai-Xiang Lin (IEEE Access, 2021)

Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs. - Yang Liu 233; Aijie Cheng (Comput. Math. Appl., 2021)

Finite Difference Method on Non-Uniform Meshes for Time Fractional Diffusion Problem. - Haili Qiao; Aijie Cheng (Comput. Methods Appl. Math., 2021)

Synchronization of Complex Network Systems with Stochastic Disturbances. - Kaihua Xi; Zhen Wang 051; Aijie Cheng; Hai-Xiang Lin; Jan H. van Schuppen; Chenghui Zhang (CoRR, 2022)

Synchronization of power systems under stochastic disturbances. - Zhen Wang 051; Kaihua Xi; Aijie Cheng; Hai-Xiang Lin; André C. M. Ran; Jan H. van Schuppen; Chenghui Zhang (Autom., 2023)

Explicit formulas for the Variance of the State of a Linearized Power System driven by Gaussian stochastic disturbances. - Xian Wu; Kaihua Xi; Aijie Cheng; Hai-Xiang Lin; Jan H. van Schuppen; Chenghui Zhang (CoRR, 2023)

The high-order exponential semi-implicit scalar auxiliary variable approach for nonlocal Cahn-Hilliard equation. - Xiaoqing Meng; Aijie Cheng; Zhengguang Liu (CoRR, 2023)

The stabilized exponential-SAV approach preserving maximum bound principle for nonlocal Allen-Cahn equation. - Xiaoqing Meng; Aijie Cheng; Zhengguang Liu (CoRR, 2023)

Control of the Power Flows of a Stochastic Power System. - Zhen Wang 051; Kaihua Xi; Aijie Cheng; Hai-Xiang Lin; Jan H. van Schuppen (CoRR, 2023)

Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of the Graph. - Kaihua Xi; Zhen Wang 051; Aijie Cheng; Hai-Xiang Lin; Jan H. van Schuppen; Chenghui Zhang (SIAM J. Appl. Dyn. Syst., 2023)

The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation. - Xiaoqing Meng; Aijie Cheng; Zhengguang Liu (Commun. Nonlinear Sci. Numer. Simul., 2024)

Optimal Control of a Stochastic Power System - Algorithms and Mathematical Analysis. - Zhen Wang 051; Kaihua Xi; Aijie Cheng; Hai-Xiang Lin; Jan H. van Schuppen (CoRR, 2024)

A fast finite difference method for 2D time variable fractional mobile/immobile equation. - Haili Qiao; Aijie Cheng (J. Appl. Math. Comput., 2024)

Maximum bound principle preserving linear schemes for nonlocal Allen-Cahn equation based on the stabilized exponential-SAV approach. - Xiaoqing Meng; Aijie Cheng; Zhengguang Liu (J. Appl. Math. Comput., 2024)

A fast modified øverlineL1 finite difference method for time fractional diffusion equations with weakly singular solution. - Haili Qiao; Aijie Cheng (J. Appl. Math. Comput., 2024)

A critical escape probability formulation for enhancing the transient stability of power systems with system parameter design. - Xian Wu; Kaihua Xi; Aijie Cheng; Chenghui Zhang; Hai-Xiang Lin (Autom., 2025)

Improving the accuracy and consistency of the energy quadratization method with an energy-optimized technique. - Xiaoqing Meng; Aijie Cheng; Zhengguang Liu (J. Comput. Appl. Math., 2025)

A new class of one-step A-stable and L-stable schemes of high-order accuracy for parabolic type equations. - Xiaoyi Li; Aijie Cheng; Zhengguang Liu (CoRR, 2025)