刘争光
职 称：讲师
办公室：长清湖校区文渊楼A254
邮 箱：liuzhgsdu@yahoo.com

研究方向：相场模型数值方法、非局部模型快速算法


个人简介
刘争光，男，中共党员，1990年生，2013-2018年山东大学计算数学专业博士。2017-2018年国家公派博士生联合培养 (普渡大学)。近年来致力于非局部模型快速算法与相场模型的无条件能量稳定算法研究，获得一批应用基础性研究成果。在国际权威期刊“SIAM J Sci Comput”、“Comput Methods Appl Mech Engrg”、“J Sci Comput”、“Appl Math Lett”、“Numer Methods for Part Diff Eqns”等发表SCI收录论文20余篇；先后参与国家科技重大专项2项，国家面上项目1项。
研究兴趣
复杂相场模型数值模拟；非局部、分数阶模型快速算法
开设课程
高等数学1、高等数学2
科研项目
1.国家科技重大专项: 化学驱油数值模拟器并行化技术研究及应用 (2011.01-2015.12.31) 参与
2.国家科技重大专项: 非均相复合驱数值模拟软件研制及并行算法研究(2011.01-2015.12.31) 参与
3.面上项目：状态约束分数阶最优控制问题的有限元方法，2020.01-2023.12，参与

学术兼职
美国《数学评论》评论员
代表性成果

1. Z.G. Liu, X.L. Li: The exponential scalar auxiliary variable (E-SAV) approach for phase field models and its explicit computing. SIAM Journal on Scientific Computing. (Accept).
2. Z.G. Liu, X.L. Li: A Parallel CGS Block-centered Finite Difference Method for a Nonlinear Time-fractional Parabolic Equation. Computer Methods in Applied Mechanics and Engineering 308 (2016): 330-348.
3. Z.G. Liu, X.L. Li: A Fast Finite Difference Method for a Continuous Static Linear Bond-Based Peridynamics Model of Mechanics. Journal of Scientific Computing 74.2 (2018): 728-742.
4. Z.G. Liu, X.L. Li: Efficient modified techniques of invariant energy quadratization approach for gradient flows. Applied Mathematics Letters, 2019, 98: 206-214.
5. Z.G. Liu, X.L. Li: Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation. Applied Numerical Mathematics, 2020, 150: 491-506.
6. Z.G. Liu, X.L. Li: Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation. Numerical Algorithms, 2019: 1-26.
7. Z.G. Liu, A.J. Cheng, and H. Wang: An hp-Galerkin Method with Fast Solution for Linear Peridynamic Models in One Dimension. Computers & Mathematics with Applications 73.7 (2017): 1546-1565.
8. Z.G. Liu, A.J. Cheng, and X.L. Li: A Second Order Crank-Nicolson Scheme for Fractional Cattaneo Equation Based on New Fractional Derivative. Applied Mathematics and Computation 311 (2017): 361-374.
9. Z.G. Liu, A.J. Cheng, X.L. Li and H. Wang: A Fast Solution Technique for Finite Element Discretization of the Space-time Fractional Diffusion Equation. Applied Numerical Mathematics 119 (2017): 146-163.
10. Z.G. Liu, A.J. Cheng, and X.L. Li: A Novel Finite Difference Discrete Scheme for the Time Fractional Diffusion-wave Equation. Applied Numerical Mathematics 134 (2018):17-30.
11. Z.G. Liu, A.J. Cheng, and X.L. Li: A Fast Discontinuous Finite Element Discretization for the Space-time Fractional Diffusion-wave Equation. Numerical Methods for Partial Differential Equations 33.6 (2017): 2043-2061.
12. Z.G. Liu, A.J. Cheng, and X.L. Li: A Fast High Order Compact Difference Method for the Fractional Cable Equation. Numerical Methods for Partial Differential Equations 34 (2018):2237-2266.
13. Z.G. Liu, A.J. Cheng, and X.L. Li: A Second-order Finite Difference Scheme for Quasilinear Time Fractional Parabolic Equation Based on New Fractional Derivative. International Journal of Computer Mathematics 95.2 (2018): 396-411.
14. Z.G. Liu, X.L. Li and X.H. Zhang: A fast high-order compact difference method for the fractal mobile/immobile transport equation. International Journal of Computer Mathematics, 2019: 1-24.
15. Z.G. Liu, X.L. Li: A Crank–Nicolson Difference Scheme for the Time Variable Fractional Mobile-immobile Advection-dispersion Equation. Journal of Applied Mathematics and Computing 56 (2018): 391-410.
16. Z.G. Liu, X.L. Li: A Novel Equivalent Definition of Caputo Fractional Derivative Without Singular Kernel and Super-Convergence Analysis. Journal of Mathematical Physics. 59(5) (2018): 051503.
17. X.L. Li, H.X. Rui, and Z.G. Liu: A Block-centered Finite Difference Method for Fractional Cattaneo Equation”, Numerical Methods for Partial Differential Equations. 34.1 (2018): 296-316.
18. H. Liu, A.J. Cheng, H.J. Yan, Z.G. Liu and H. Wang: A Fast Compact Finite Difference Method for Quasi-linear Time Fractional Parabolic Equation without Singular Kernel, International Journal of Computer Mathematics. 2019, 96(7): 1444-1460.
19. X.L. Li, H.X. Rui, and Z.G. Liu, Two Alternating Direction Implicit Spectral Methods for Two-dimensional Distributed-order Differential Equation. Numerical Algorithms 2019, 82(1): 321-347.
20. H Qiao, Z.G. Liu, and A.J. Cheng. Two unconditionally stable difference schemes for time distributed-order differential equation based on Caputo–Fabrizio fractional derivative. Advances in Difference Equations, 2020, 2020(1): 36.
21. H Qiao, Z.G. Liu, and A.J. Cheng. A fast compact finite difference method for fractional Cattaneo equation based on Caputo–Fabrizio fractional derivative. Mathematical problems in Engineering. 2020:**.