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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[1] 孟晓庆. Maximum bound principle preserving linear schemes for nonlocal Allen-Cahn equation based on the s.... JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024.
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[2] 孟晓庆. The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlo.... Communications in Nonlinear Science and Numerical Simulation, 137, 2024.
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[3] 乔海丽. A fast modified (L1)over-bar finite difference method for time fractional diffusion equations wit.... JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024.
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[4] 孟晓庆. Improving the accuracy and consistency of the energy quadratization method with an energy-optimiz.... Journal of Computational and Applied Mathematics, 459, 2025.
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[5] 乔海丽. A fast finite difference method for 2D time variable fractional mobile/immobile equation. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 70, 551-577, 2024.
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[6] 程爱杰. A Eulerian-Lagrangian Control Volume Method for Solute Transport with Anomalous Diffusion. Numerical Methods for Partial Differential Equations, 31, 253, 2015.
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[7] . A critical escape probability formulation for enhancing the transient stability of power systems .... Automatica, 175, 2025.
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[8] 赵卫东. Numerical simulation of migration-accumulation for multi-layer oil resources and its application. Applied Mathematics and Mechanics(English Edition), 2002.
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[9] 赵卫东. An economical difference scheme for convection-diffusion equation. Mathematica Numerica Sinica, 1998.
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[10] 赵卫东. Simulation and application of three dimensional migration-accumulation of oil resources. Applied Mathematics and Mechanics(English Edition), 1999.
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[11] 孟晓庆 , 程爱杰 and 刘争光. Improving the accuracy and consistency of the energy quadratization method with an energy-optimiz.... Journal of Computational and Applied Mathematics, 459,
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[12] 孟晓庆 , 程爱杰 and 刘争光. The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlo.... Communicationsin Nonlinear Science and Numerical Simulation, 137, 2024.
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[13] 孟晓庆 , 程爱杰 and 刘争光. Maximum bound principle preserving linearschemesfornonlocal Allen–Cahn equation based on the sta.... Journal of Applied Mathematics and Computing, 70, 1471–1498, 2024.
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[14] Yuan, YR. Simulation and application of three-dimensional migration-accumulation of oil resources. Applied Mathematics and Mechanics(English Edi, 20, 999-1009, 1999.
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[15] Yuan, YR. Numerical simulation of oil migration-accumulation of multilayer and its application. Applied Mathematics and Mechanics(English Edi, 23, 931-941, 2002.
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[16] 程爱杰. 对流扩散方程的经济差分格式. 计算数学, 22, 309-318, 2000.
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[17] 赵卫东. 对流扩散方程一类改进的特征线修正有限元方法. 高等学校计算数学学报, 21, 248-263, 1999.
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[18] 袁益让. THEORY AND APPLICATION OF FRACTIONAL STEP CHARACTERISTIC FINITE DIFFERENCE METHOD IN NUMERICAL SI.... Acta Mathematica Scientia, 35, 1547-1565, 2015.
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[19] 袁益让. APPLICATIONS, THEORETICAL ANALYSIS, NUMERICAL METHOD, AND MECHANICAL MODEL OF THE POLYMER FLOODIN.... SPECIALTOPICSREVIEWSINPOROUSMEDIA-ANINTERNATIONALJOURNAL, 6, 383-401, 2015.
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[20] 袁益让. Theory and application of numerical simulation method of capillary force enhanced oil production. Applied Mathematics and Mechanics(English Edi, 36, 379-400, 2015.