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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[21] 李长峰. A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displa.... Advances in Applied Mathematics and Mechanics, 2022.
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[22] 李长峰. A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displa.... Advances in Applied Mathematics and Mechanics, 2022.
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[23] 刘阳. A novel AlGaN/GaN heterostructure field-effect transistor based on open-gate technology. SCIENTIFIC REPORTS, 11, 2021.
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[24] Zhang, Xuhao. Fast collocation method for a two-dimensional variable-coefficient linear nonlocal diffusion mode.... Advances in Difference Equations, 2020, 2020.
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[25] Zhang, Xuhao. A Preconditioned Fast Collocation Method for a Linear Nonlocal Diffusion Model in Convex Domains. IEEE Access , 8, 182366, 2020.
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[26] 李晓. Sample Regenerating Particle Filter Combined With Unequal Weight Ensemble Kalman Filter for Nonli.... IEEE Access , 9, 109612, 2021.
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[27] Zhang, Xuhao. A preconditioned fast collocation method for a linear bond-based peridynamic model. Advances in Difference Equations, 2020, 2020.
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[28] 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.
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[29] 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.
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[30] 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.
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[31] 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.
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[32] 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.
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[33] 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.
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[34] 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.
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[35] 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.
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[36] 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.
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[37] 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.
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[38] 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.
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[39] 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.
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[40] 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.