Cheng Aijie 山东大学主页平台管理系统--Home

Cheng Aijie Professor

程爱杰，山东大学数学学院教授，理学博士。1986年、1989年和1992年于山东大学分别获得计算数学学士学位、硕士学位和博士学位。 2000年9至10月在Hong Kong Baptist University访问，2000年12月至2001年12月在以色列Bar-Ilan大学访问（博士后），2002年3月至2003年12月在瑞典Mid Sweden University 访问学者。研究方向包括偏微分方程数值解法、科学与工程计算、多孔介质流计算与油藏数值模拟等。在Journal of Scientific Computing、计算数学等专业期刊发表学术论文40余... More+

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Paper Publications

[21] 袁益让. 三维强化采油渗流耦合系统隐式迎风分数步差分方法的收敛性分析. 中国科学数学, 44, 1035-1058, 2014.

[22] 吴宪 , 席开华 and 程爱杰. Explicit formulas for the asymptotic variance of a linearized model of a Gaussian disturbance dri.... Chaos, Solitons and Fractals, 188, 2024.

[23] 乔海丽. A FAST HIGH ORDER METHOD FOR TIME FRACTIONAL DIFFUSION EQUATION WITH NON-SMOOTH DATA. Discrete and Continuous Dynamical Systems Series B, 27, 903-920, 2022.

[24] 席开华. Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of .... SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 22, 1030-1052, 2023.

[25] 王震. Synchronization of power systems under stochastic disturbances. Automatica, 151, 2023.

[26] 吴宪 , 程爱杰 and 席开华. Increasing the synchronization stability in complex networks. Chaos, 33, 2023.

[27] 乔海丽. Finite Difference Method on Non-Uniform Meshes for Time Fractional Diffusion Problem. COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 21, 899, 2021.

[28] 李长峰. A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displa.... Advances in Applied Mathematics and Mechanics, 2022.

[29] 李长峰. A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displa.... Advances in Applied Mathematics and Mechanics, 2022.

[30] 刘阳. A novel AlGaN/GaN heterostructure field-effect transistor based on open-gate technology. SCIENTIFIC REPORTS, 11, 2021.

[31] Zhang, Xuhao. Fast collocation method for a two-dimensional variable-coefficient linear nonlocal diffusion mode.... Advances in Difference Equations, 2020, 2020.

[32] Zhang, Xuhao. A Preconditioned Fast Collocation Method for a Linear Nonlocal Diffusion Model in Convex Domains. IEEE Access , 8, 182366, 2020.

[33] 李晓. Sample Regenerating Particle Filter Combined With Unequal Weight Ensemble Kalman Filter for Nonli.... IEEE Access , 9, 109612, 2021.

[34] Zhang, Xuhao. A preconditioned fast collocation method for a linear bond-based peridynamic model. Advances in Difference Equations, 2020, 2020.

[35] 程爱杰. AN ERROR ESTIMATE FOR MMOC-MFEM BASED ON CONVOLUTION FOR POROUS MEDIA FLOW. International Journal of Numerical Analysis and Modeling, 9, 149, 2012.

[36] 乔海丽 and Cheng Aijie. Finite Difference Methods for Fractional Differential Equations on Non-Uniform Meshes. East Asian Journal on Applied Mathematics, 11, 255, 2021.

[37] 乔海丽 and Cheng Aijie. A fast finite difference/RBF meshless approach for time fractional convection-diffusion equation .... Engineering Analysis with Boundary Elements, 125, 280, 2021.

[38] 刘洋 and 程爱杰. Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs. COMPUTERS & MATHEMATICS WITH APPLICATIONS Journal, 82, 113, 2021.

[39] 乔海丽 and Cheng Aijie. Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Different.... East Asian Journal on Applied Mathematics, 10, 774, 2020.

[40] 刘欢 , Cheng Aijie and 王宏. A Parareal Finite Volume Method for Variable-Order Time-Fractional Diffusion Equations. Journal of Scientific Computing, 85, 2020.