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余篇，主持完成国家科技重大专项子课题、国家自然科学基金重大研究计划重点支持项目子课题、山东省自然科学基金项目等纵向课题，以及企业委托开发课题总计二十项。

   培养硕士研究生35名、博士研究生6名。

   中国工业与应用数学学会第六届、第七届、第八届理事，油水资源数值方法专业委员会主任，中国数学会计算数学分会第九届、第十届常务理事。

     2011年中国计算数学学会年会邀请报告“化学采油数值模拟进展”。

  “大庆油田高含水后期4000万吨以上持续稳产高效勘探开发技术” 获得2010年度国家科技进步奖（特等，属于特大工程项目，只申报完成单位，不申报完成人），证书编号2010-J-210-0-01-D07。“河流污染问题数值模拟与可视化”获得山东省优秀学位论文奖（学士学位论文），证书编号X2015329。

• 1986-09-01-1989-06-30
  山东大学
  计算数学
• 1982-09-01-1986-07-01
  山东大学
  计算数学
• 1989-09-01-1992-06-01
  山东大学
  计算数学

• 2000-09 — 2000-10
  香港浸会大学
• 2000-12 — 2001-12
  Bar-Ilan University
• 2002-02 — 2003-12
  Mid Sweden University
• 2002-03 — 2003-12
  FSCN, Mid Sweden University
  访问学者
• 2000-12 — 2001-12
  Bar-Ilan University，Isreal
  博士后

1. 偏微分方程数值解法

2. 科学与工程计算

3. 油藏数值模拟

(1)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 .2024

(2)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 .2024 ,137

(3)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 .2024

(4)孟晓庆. Improving the accuracy and consistency of the energy quadratization method with an energy-optimized technique .Journal of Computational and Applied Mathematics .2025 ,459

(5)乔海丽. A fast finite difference method for 2D time variable fractional mobile/immobile equation .JOURNAL OF APPLIED MATHEMATICS AND COMPUTING .2024 ,70 (1):551-577

(6)程爱杰. A Eulerian-Lagrangian Control Volume Method for Solute Transport with Anomalous Diffusion .Numerical Methods for Partial Differential Equations .2015 ,31 (1):253

(7) A critical escape probability formulation for enhancing the transient stability of power systems with system parameter design .Automatica .2025 ,175

(8)赵卫东. Numerical simulation of migration-accumulation for multi-layer oil resources and its application .Applied Mathematics and Mechanics(English Edition) .2002

(9)赵卫东. An economical difference scheme for convection-diffusion equation .Mathematica Numerica Sinica .1998

(10)赵卫东. Simulation and application of three dimensional migration-accumulation of oil resources .Applied Mathematics and Mechanics(English Edition) .1999

(11)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

(12)孟晓庆. The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation .Communicationsin Nonlinear Science and Numerical Simulation .2024 ,137

(13)孟晓庆. Maximum bound principle preserving linearschemesfornonlocal Allen–Cahn equation based on the stabilized exponential-SAV approach .Journal of Applied Mathematics and Computing .2024 ,70 :1471–1498

(14)Yuan, YR. Simulation and application of three-dimensional migration-accumulation of oil resources .Applied Mathematics and Mechanics(English Edi .1999 ,20 (9):999-1009

(15)Yuan, YR. Numerical simulation of oil migration-accumulation of multilayer and its application .Applied Mathematics and Mechanics(English Edi .2002 ,23 (8):931-941

(16)程爱杰. 对流扩散方程的经济差分格式 .计算数学 .2000 ,22 (3):309-318

(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 .1999 ,21 (3):248-263

(18)袁益让. THEORY AND APPLICATION OF FRACTIONAL STEP CHARACTERISTIC FINITE DIFFERENCE METHOD IN NUMERICAL SIMULATION OF SECOND ORDER ENHANCED OIL PRODUCTION .Acta Mathematica Scientia .2015 ,35 (6):1547-1565

(19)袁益让. APPLICATIONS, THEORETICAL ANALYSIS, NUMERICAL METHOD, AND MECHANICAL MODEL OF THE POLYMER FLOODING IN POROUS MEDIA .SPECIALTOPICSREVIEWSINPOROUSMEDIA-ANINTERNATIONALJOURNAL .2015 ,6 (4):383-401

(20)袁益让. Theory and application of numerical simulation method of capillary force enhanced oil production .Applied Mathematics and Mechanics(English Edi .2015 ,36 (3):379-400

(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 .2014 ,44 (10):1035-1058

(22)吴宪. Explicit formulas for the asymptotic variance of a linearized model of a Gaussian disturbance driven power system with a uniform damping-inertia ratio .Chaos, Solitons and Fractals .2024 ,188

(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 .2022 ,27 (2):903-920

(24)席开华. Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of the Graph .SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS .2023 ,22 (2):1030-1052

(25)王震. Synchronization of power systems under stochastic disturbances .Automatica .2023 ,151

(26)吴宪. Increasing the synchronization stability in complex networks .Chaos .2023 ,33 (4)

(27)乔海丽. Finite Difference Method on Non-Uniform Meshes for Time Fractional Diffusion Problem .COMPUTATIONAL METHODS IN APPLIED MATHEMATICS .2021 ,21 (4):899

(28)李长峰. A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem .Advances in Applied Mathematics and Mechanics .2022

(29)李长峰. A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem .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 .2021 ,11 (1)

(31)Zhang, Xuhao. Fast collocation method for a two-dimensional variable-coefficient linear nonlocal diffusion model .Advances in Difference Equations .2020 ,2020 (1)

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

(33)李晓. Sample Regenerating Particle Filter Combined With Unequal Weight Ensemble Kalman Filter for Nonlinear Systems .IEEE Access .2021 ,9 :109612

(34)Zhang, Xuhao. A preconditioned fast collocation method for a linear bond-based peridynamic model .Advances in Difference Equations .2020 ,2020 (1)

(35)程爱杰. AN ERROR ESTIMATE FOR MMOC-MFEM BASED ON CONVOLUTION FOR POROUS MEDIA FLOW .International Journal of Numerical Analysis and Modeling .2012 ,9 (1):149

(36)乔海丽. Finite Difference Methods for Fractional Differential Equations on Non-Uniform Meshes .East Asian Journal on Applied Mathematics .2021 ,11 (2):255

(37)乔海丽. A fast finite difference/RBF meshless approach for time fractional convection-diffusion equation with non-smooth solution .Engineering Analysis with Boundary Elements .2021 ,125 :280

(38)刘洋. Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs .COMPUTERS & MATHEMATICS WITH APPLICATIONS Journal .2021 ,82 :113

(39)乔海丽. Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations .East Asian Journal on Applied Mathematics .2020 ,10 (4):774

(40)刘欢. A Parareal Finite Volume Method for Variable-Order Time-Fractional Diffusion Equations .Journal of Scientific Computing .2020 ,85 (1)

(41)刘欢. A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation .Journal of Computational and Applied Mathematics .2020 ,368

(42)乔海丽. A Fast Compact Finite Difference Method for Fractional Cattaneo Equation Based on Caputo-Fabrizio Derivative .Mathematical Problems in Engineering .2020 ,2020

(43)崔鹏. Effect of different gate lengths on device linearity in AlGaN/GaN high electron mobility transistors .Physica E: Low-dimensional Systems and Nanostructures .2020

(44)袁益让. A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery .Advances in Applied Mathematics and Mechanics .2019 ,11 (5):1084

(45)刘欢. A fast compact finite difference method for quasilinear time fractional parabolic equation without singular kernel .International Journal of Computer Mathematics .2019 ,96 (7):1444

(46)刘争光. A novel finite difference discrete scheme for the time fractional diffusion-wave equation .Applied Numerical Mathematics .2018 ,134 :17

(47)刘争光. A fast-high order compact difference method for the fractional cable equation .Numerical Methods for Partial Differential Equations .2018 ,34 (6):2237

(48)刘欢. Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation .Computers & Mathematics with Applications .2018 ,76 (8):1876

(49)崔鹏. Effect of Polarization Coulomb Field Scattering on Electrical Properties of the 70-nm Gate-Length AlGaN/GaN HEMTs .scientific reports .2018 ,8

(50)刘欢. A Fast Discontinuous Galerkin Method for a Bond-Based Linear Peridynamic Model Discretized on a Locally Refined Composite Mesh .Journal of Scientific Computing .2018 ,76 (2):913

(51)崔鹏. Effect of Different Gate Lengths on Polarization Coulomb Field Scattering Potential in AlGaN/GaN Heterostructure Field-Effect Transistors .scientific reports .2018 ,8

(52)赵猛. A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion Equations with Fractional Derivative Boundary Conditions .J Sci Comput .2018 ,74 (2):1009

(53)刘争光. A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative .Int J Comput Math .2018 ,95 (2):396

(54)付晨. The influence of the PCF scattering on the electrical properties of the AlGaN/AlN/GaN HEMTs after the Si3N4 surface passivation .Applied Physics A-Materials Science & Processing .2018 ,124 (4)

(55)袁益让. CONVERGENCE ANALYSIS OF MIXED VOLUME ELEMENT-CHARACTERISTIC MIXED VOLUME ELEMENT FOR THREE-DIMENSIONAL CHEMICAL OIL-RECOVERY SEEPAGE COUPLED PROBLEM .Acta Mathematica Scientia .2018 ,38 (2):519

(56)崔鹏. Improved Linearity with Polarization Coulomb Field Scattering in AlGaN/GaN Heterostructure Field-Effect Transistors .scientific reports .2018 ,8

(57)付晨. A new method to determine the 2DEG density distribution for passivated AlGaN/AlN/GaN heterostructure field-effect transistors .Superlattices and Microstructures .2018 ,113 :160

(58)刘争光. A fast discontinuous finite element discretization for the space-time fractional diffusion-wave equation .Numerical Methods for Partial Differential Equations .2017 ,33 (6):2043

(59)赵猛. A preconditioned fast Hermite finite element method for space-fractional diffusion equations .Discrete and Continuous Dynamical Systems-Series B .2017 ,22 (9):3529

(60)刘争光. A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative .Applied Mathematics and Computation .2017 ,311 :361

(61)刘争光. A fast solution technique for finite element discretization of the space-time fractional diffusion equation .Applied Numerical Mathematics .2017 ,119 :146

(62)刘争光. An hp-Galerkin method with fast solution for linear peridynamic models in one dimension .Computers & Mathematics with Applications .2017 ,73 (7):1546

(63)崔鹏. Influence of Different Gate Biases and Gate Lengths on Parasitic Source Access Resistance in AlGaN/GaN Heterostructure FETs .IEEE Transactions on Electron Devices .2017 ,64 (3):1038

(64)刘欢. Enhanced effect of diffused Ohmic contact metal atoms for device scaling in AlGaN/GaN heterostructure field-effect transistors .Superlattices and Microstructures .2017 ,103 :113

(65)崔鹏. Influence of different GaN cap layer thicknesses on electron mobility in AlN/GaN heterostructure field-effect transistors .？Superlattices and Microstructures .2016 ,100 :358

(66)袁益让. Numerical simulation method, theory, and application of three-phase (oil, gas, water) chemical-agent oil recovery in porous media .Spec. Top. Rev. Porous Media .2016 ,7 (3):245

(67)程爱杰. A Eulerian-Lagrangian Control Volume Method for Solute Transport with Anomalous Diffusion .Numerical Methods for Partial Differential Equations .2015 ,31 (1):253

(68)袁益让. Numerical simulation of black oil-three compound combination flooding .International Journal of Chemistry .2014 ,6 (4):38

(69)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和收敛性分析 .中国科学 .2014 ,44 (10):1035

(70)袁益让. Theory and application of numerical simulation of permeation fluid mechanics of the polymer-black oil .Journal of Geography and Geology .2014 ,6 (4):12

(71)袁益让. Theory and application of numerical simulation of chemical flooding in high temperature and high slat reservoirs .International Journal of Geosciences .2014 ,5 :956

(72)任永强. A Uniformly Optimal-Order Estimate for Finite Volume Method for Advection-Diffusion Equations .Numerical Methods for Partial Differential Equations .2014 ,30 (1):17

(73)程爱杰. Superconvergence for a Time-Discretization Procedure for the Mixed Finite Element Approximation of Miscible Displacement in Porous Media .Numerical Methods for Partial Differential Equations .2012 ,28 (4):1382

(74)程爱杰. A time-stepping procedure based on convolution for the mixed finite element approximation for porous media flow .Applied Mathematics and Computation (New York) .2012 ,218 (9):5319

(75)程爱杰. A Preliminary Study on Multiscale ELLAM Schemes for Transient Advection-Diffusion Equations .Numerical Methods for Partial Differential Equations .2010 ,26 (6):1405

(76)程爱杰. An Error Estimate on a Galerkin Method for Modeling Heat and Moisture Transfer in Fibrous Insulation .Numerical Methods for Partial Differential Equations .2008 ,24 :504-517

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