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+

Paper Publications

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[41] 刘欢 , Cheng Aijie and 王宏. A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation. Journal of Computational and Applied Mathematics, 368, 2020.
[42] 乔海丽 , 刘争光 and Cheng Aijie. A Fast Compact Finite Difference Method for Fractional Cattaneo Equation Based on Caputo-Fabrizio.... Mathematical Problems in Engineering, 2020, 2020.
[43] 崔鹏 , linzhaojun , 刘欢 and Cheng Aijie. Effect of different gate lengths on device linearity in AlGaN/GaN high electron mobility transist.... Physica E: Low-dimensional Systems and Nanostructures, 2020.
[44] yuanyirang , Cheng Aijie , Li Changfeng and Tongjun Sun. A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recove.... Advances in Applied Mathematics and Mechanics, 11, 1084, 2019.
[45] 刘欢 , 闫红杰 , 刘争光 and Cheng Aijie. A fast compact finite difference method for quasilinear time fractional parabolic equation withou.... International Journal of Computer Mathematics, 96, 1444, 2019.
[46] 刘争光 , Cheng Aijie and 李晓丽. A novel finite difference discrete scheme for the time fractional diffusion-wave equation. Applied Numerical Mathematics, 134, 17, 2018.
[47] 刘争光 , Cheng Aijie and 李晓丽. A fast-high order compact difference method for the fractional cable equation. Numerical Methods for Partial Differential Equations, 34, 2237, 2018.
[48] 刘欢 , Cheng Aijie , 王宏 and 赵佳. Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation. Computers & Mathematics with Applications, 76, 1876, 2018.
[49] 崔鹏 , linzhaojun , 刘欢 and Cheng Aijie. Effect of Polarization Coulomb Field Scattering on Electrical Properties of the 70-nm Gate-Length.... scientific reports, 8, 2018.
[50] liuhuan , Cheng Aijie and 王宏. A Fast Discontinuous Galerkin Method for a Bond-Based Linear Peridynamic Model Discretized on a L.... Journal of Scientific Computing, 76, 913, 2018.
[51] 崔鹏 , linzhaojun , 刘欢 and Cheng Aijie. Effect of Different Gate Lengths on Polarization Coulomb Field Scattering Potential in AlGaN/GaN .... scientific reports, 8, 2018.
[52] 赵猛 , 王宏 and Cheng Aijie. A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion E.... J Sci Comput, 74, 1009, 2018.
[53] 刘争光 , Cheng Aijie and 李晓丽. A second-order finite difference scheme for quasilinear time fractional parabolic equation based .... Int J Comput Math, 95, 396, 2018.
[54] 付晨 , linzhaojun , 刘欢 and Cheng Aijie. The influence of the PCF scattering on the electrical properties of the AlGaN/AlN/GaN HEMTs after.... Applied Physics A-Materials Science & Processing, 124, 2018.
[55] yuanyirang , Cheng Aijie and Li Changfeng. CONVERGENCE ANALYSIS OF MIXED VOLUME ELEMENT-CHARACTERISTIC MIXED VOLUME ELEMENT FOR THREE-DIMENS.... Acta Mathematica Scientia, 38, 519, 2018.
[56] cuipeng , linzhaojun and Cheng Aijie. Improved Linearity with Polarization Coulomb Field Scattering in AlGaN/GaN Heterostructure Field-.... scientific reports, 8, 2018.
[57] linzhaojun , Cheng Aijie and 付晨. A new method to determine the 2DEG density distribution for passivated AlGaN/AlN/GaN heterostruct.... Superlattices and Microstructures, 113, 160, 2018.
[58] 刘争光 , Cheng Aijie and 李晓丽. A fast discontinuous finite element discretization for the space-time fractional diffusion-wave e.... Numerical Methods for Partial Differential Equations, 33, 2043, 2017.
[59] 赵猛 , Cheng Aijie and 王宏. A preconditioned fast Hermite finite element method for space-fractional diffusion equations. Discrete and Continuous Dynamical Systems-Series B, 22, 3529, 2017.
[60] 刘争光 , Cheng Aijie and 李晓丽. A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional der.... Applied Mathematics and Computation, 311, 361, 2017.

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Paper Publications

[41] 刘欢 , Cheng Aijie and 王宏. A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation. Journal of Computational and Applied Mathematics, 368, 2020.

[42] 乔海丽 , 刘争光 and Cheng Aijie. A Fast Compact Finite Difference Method for Fractional Cattaneo Equation Based on Caputo-Fabrizio.... Mathematical Problems in Engineering, 2020, 2020.

[43] 崔鹏 , linzhaojun , 刘欢 and Cheng Aijie. Effect of different gate lengths on device linearity in AlGaN/GaN high electron mobility transist.... Physica E: Low-dimensional Systems and Nanostructures, 2020.

[44] yuanyirang , Cheng Aijie , Li Changfeng and Tongjun Sun. A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recove.... Advances in Applied Mathematics and Mechanics, 11, 1084, 2019.

[45] 刘欢 , 闫红杰 , 刘争光 and Cheng Aijie. A fast compact finite difference method for quasilinear time fractional parabolic equation withou.... International Journal of Computer Mathematics, 96, 1444, 2019.

[46] 刘争光 , Cheng Aijie and 李晓丽. A novel finite difference discrete scheme for the time fractional diffusion-wave equation. Applied Numerical Mathematics, 134, 17, 2018.

[47] 刘争光 , Cheng Aijie and 李晓丽. A fast-high order compact difference method for the fractional cable equation. Numerical Methods for Partial Differential Equations, 34, 2237, 2018.

[48] 刘欢 , Cheng Aijie , 王宏 and 赵佳. Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation. Computers & Mathematics with Applications, 76, 1876, 2018.

[49] 崔鹏 , linzhaojun , 刘欢 and Cheng Aijie. Effect of Polarization Coulomb Field Scattering on Electrical Properties of the 70-nm Gate-Length.... scientific reports, 8, 2018.

[50] liuhuan , Cheng Aijie and 王宏. A Fast Discontinuous Galerkin Method for a Bond-Based Linear Peridynamic Model Discretized on a L.... Journal of Scientific Computing, 76, 913, 2018.

[51] 崔鹏 , linzhaojun , 刘欢 and Cheng Aijie. Effect of Different Gate Lengths on Polarization Coulomb Field Scattering Potential in AlGaN/GaN .... scientific reports, 8, 2018.

[52] 赵猛 , 王宏 and Cheng Aijie. A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion E.... J Sci Comput, 74, 1009, 2018.

[53] 刘争光 , Cheng Aijie and 李晓丽. A second-order finite difference scheme for quasilinear time fractional parabolic equation based .... Int J Comput Math, 95, 396, 2018.

[54] 付晨 , linzhaojun , 刘欢 and Cheng Aijie. The influence of the PCF scattering on the electrical properties of the AlGaN/AlN/GaN HEMTs after.... Applied Physics A-Materials Science & Processing, 124, 2018.

[55] yuanyirang , Cheng Aijie and Li Changfeng. CONVERGENCE ANALYSIS OF MIXED VOLUME ELEMENT-CHARACTERISTIC MIXED VOLUME ELEMENT FOR THREE-DIMENS.... Acta Mathematica Scientia, 38, 519, 2018.

[56] cuipeng , linzhaojun and Cheng Aijie. Improved Linearity with Polarization Coulomb Field Scattering in AlGaN/GaN Heterostructure Field-.... scientific reports, 8, 2018.

[57] linzhaojun , Cheng Aijie and 付晨. A new method to determine the 2DEG density distribution for passivated AlGaN/AlN/GaN heterostruct.... Superlattices and Microstructures, 113, 160, 2018.

[58] 刘争光 , Cheng Aijie and 李晓丽. A fast discontinuous finite element discretization for the space-time fractional diffusion-wave e.... Numerical Methods for Partial Differential Equations, 33, 2043, 2017.

[59] 赵猛 , Cheng Aijie and 王宏. A preconditioned fast Hermite finite element method for space-fractional diffusion equations. Discrete and Continuous Dynamical Systems-Series B, 22, 3529, 2017.

[60] 刘争光 , Cheng Aijie and 李晓丽. A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional der.... Applied Mathematics and Computation, 311, 361, 2017.