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+
Scientific Research
Working-Papers
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Paper Publications
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孟晓庆. Maximum bound principle preserving linear schemes for nonlocal Allen-Cahn equation based on the stabilized exponential-SAV approach. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025.
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孟晓庆. The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation. Communications in Nonlinear Science and Numerical Simulation, 137, 2025.
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乔海丽. A fast modified (L1)over-bar finite difference method for time fractional diffusion equations with weakly singular solution. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025.
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孟晓庆. Improving the accuracy and consistency of the energy quadratization method with an energy-optimized technique. Journal of Computational and Applied Mathematics, 459, 2025.
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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, 2025.
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程爱杰. A Eulerian-Lagrangian Control Volume Method for Solute Transport with Anomalous Diffusion. Numerical Methods for Partial Differential Equations, 31, 253, 2025.
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. A critical escape probability formulation for enhancing the transient stability of power systems with system parameter design. Automatica, 175, 2025.
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赵卫东. Numerical simulation of migration-accumulation for multi-layer oil resources and its application. Applied Mathematics and Mechanics(English Edition), 2025.
Patents
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Published Books
Research Projects
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新能源汽车动力电池设计辅助软件仿真引擎并行插值工程技术测试, 2025-05-07-2025-06-30
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基于复杂角点网格的化学驱数值模拟快速求解算法研究, 2024-08-14-2025-11-30
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化学驱数值模拟矿场规模化应用测试合同, 2020-05-15-2022-12-31
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分数阶偏微分方程数学与数值分析及模型修正, 2019-08-16-2023-12-31
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化学驱油数学模型求解方法和自动历史拟合技术研究, 2018-07-25-2021-09-30
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化学驱油流线数值模拟器研制, 2018-07-15-2021-06-30
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多相物质体系的计算建模算法设计与数值分析-2, 2017-09-19-2019-12-31
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SLCHEM化学驱模拟软件泡沫复合驱功能研制（一）, 2014-11-30-2016-12-31
Research Team
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