姓名：葛永斌

职称：教授

导师类型：博导

E-mail:gyb@nxu.edu.cn

专业方向：计算数学

教育背景、社会兼职及获奖情况

2000年6月ManBetX网页版登录应用数学专业毕业，获得理学硕士学位；2003年12月上海理工大学工程热物理专业博士毕业，2004年3月获得工学博士学位。国家自然科学基金项目通讯评议人，2020年入选自治区青年拔尖人才工程。

研究领域

偏微分数值解法、计算流体力学、计算生物学、数学及工程软件开发

代表性研究成果

1. Zhenfu Tian*, Yongbin Ge. A fourth-order compact finite difference scheme for the steady streamfunction-vorticity formulation of the Navier-Stokes/Boussinesq equations. International Journal for Numerical Methods in Fluids, 2003, 41: 495-518

2. Z. F. Tian, Y. B. Ge. A fourth-order compact ADI method for solving two-dimensional unsteady convection-diffusion problems. Journal of Computational and Applied Mathematics, 2007,198: 268-286 

3. Yongbin Ge. Multigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D Poisson equation. Journal of Computational Physics, 2010, 229: 6381-6391

4. Yuezhen Ma, Yongbin Ge*, A high-order finite difference method with Richardson extrapolation for 3D convection diffusion equation. Applied Mathematics and Computation, 2010, 215: 3408- 3417

5. Yongbin Ge*, Funjun Cao. Multigrid method based on the transformation-free HOC scheme on nonuniform grids for 2D convection diffusion problems. Journal of Computational Physics, 2011, 230: 4051-4070

6. Yongbin Ge*, Fujun Cao, Jun Zhang. A transformation-free HOC scheme and multigrid method for solving the 3D Poisson equation on nonuniform grids. Journal of Computational Physics, 2013, 234: 199-216

7. Yongbin Ge, Zhenfu Tian*, Jun Zhang. An exponential high-order compact ADI method for 3D unsteady convection-diffusion problems. Numerical Methods for Partial Differential Equations, 2013, 29: 186-205

8. Bin Lan, Yongbin Ge*, Yan Wang, Yong Zhan. High order compact difference scheme and multigrid method for 2D elliptic problems with variable coefficients and interior/boundary layers on nonuniform grids. Journal of Applied Mathematics and Physics, 2015, 3: 509-523 

9. Sheng Qin*, Ge Yongbin. A numerical endeavor with nonlinear Kawarada equations. Dynamic Systems and Applications, 2016, 25: 543-556

10. Funjun Cao, Yongbin Ge*, Hai-Wei Sun. Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems. International Journal of Computer Mathematics, 2017, 94(12): 2356-2372

11. Funjun Cao, Dongfang Yuan, Yongbin Ge. The adaptive mesh method based on HOC difference scheme for convection diffusion equations with boundary layers. Computational and Applied Mathematics, 2018, 37(2): 1581-1600

12. Yongbin Ge, Fei Zhao, Jianying Wei*. A high order compact ADI method for solving 3D unsteady convection diffusion problems. Applied and Computational Mathematics, 2018, 7(1): 1-10 

13. Yongbin Ge*, Zhiquan Cai, Qin Sheng. A compact adaptive approach for degenerate singular reaction-diffusion equations. Numerical Methods for Partial Differential Equations, 2018, 34(4): 1166-1187

14. Yan Wang, Yongbin Ge*. High-order compact difference scheme and multigrid method for solving the 2D elliptic problems. Mathematical Problems in Engineering, 2018, Volume 2018, Article ID 7831731,11 pages, https://doi.org/10.1155/2018/7831731

15. Jianhua Chen, Yongbin Ge*. High order locally one-dimensional methods for solving two -dimensional parabolic equations. Advances in Difference Equations, 2018: 361, https: //doi.org/10.1186/ s13662-018-1825-2 

16. Xiaojia Yang, Yongbin Ge*, Lin Zhang. A class of high-order compact difference schemes for solving the Burgers’ equations. Applied Mathematics and Computation, 2019, 358: 394-417

17. Tingfu Ma, Yongbin Ge*. A higher-order blended compact difference (BCD) method for solving the general 2D linear second-order partial differential equation. Advances in Difference Equations, 2019: 98, https://doi.org/10.1186/s13662-019-2034-3

18. Tingfu Ma, Yongbin Ge*. A blended compact difference (BCD) method for solving 3D convection-diffusion problems with variable coefficients. International Journal of Computational Methods, 2019, 16: 1950022 (34 pages) DOI:10.1142/S0219876219500221

19. F. Tian, Y. B. Ge, Z. F. Tian*. Exponential high-order compact finite difference method for convection-dominated diffusion problems on nonuniform grids. Numerical Heat Transfer, Part B: Fundamentals, 2019, 75(3): 145-177

20. Xiaogang Li, Guodong Li*, Yongbin Ge. Improvement of third-order finite difference WENO scheme at critical points. International Journal of Computational Fluid Dynamics, 2020, 34(1): 1-13

21. Xiaoliang Zhu, Yongbin Ge*. Adaptive ADI numerical analysis of 2D quenching-type reaction diffusion equation with convection Term. Mathematical Problems in Engineering, 2020, Volume 2020, Article ID 8161804,19 pages, https://doi.org/10.1155/2020/8161804 

22. Yunzhi Jiang, Yongbin Ge*. An explicit fourth-order compact difference scheme for solving the 2D wave equation. Advances in Difference Equations, 2020: 415, https://doi.org/ 10.1186/s13662-020 -02870-z

23. Tingfu Ma, Yongbin Ge*. High-order blended compact difference schemes for the 3D elliptic partial differential equation with mixed derivatives and variable coefficients. Advances in Difference Equations, 2020: 525, https://doi.org/10.1186/s13662-020-02949-7

24. Xiaoliang Zhu, Yongbin Ge*. Adaptive high-order finite difference analysis of 2D quenching -type convection-reaction-diffusion equation. Advances in Mathematical Physics, Volume 2020, Article ID 3650703, 19 pages, https://doi.org/10.1155/2020/3650703

25. Tingfu Ma, Yongbin Ge*. High-order compact difference method for two-dimensional elliptic and parabolic equations with mixed derivatives. Tbilisi Mathematical Journal, 2020,13(4): 141-167

26. Miaomiao Yang, Wentao Ma, Yongbin Ge*. A meshless collocation method with barycentric Lagrange interpolation for solving the Helmholtz equation. Computer Modeling in Engineering & Sciences, 2021,126(1): 25-54

27. Xiaogang Li, Guodong Li*, Yongbin Ge. A new fifth-order finite difference WENO scheme for dam-break simulations. Advances in Applied Mathematics and Mechanics, 2021, 13(1): 58-82

28. Xiaojia Yang, Yongbin Ge*, Bin Lan. A class of implicit high order compact difference method for solving the 2D and 3D Burgers equations. Mathematics and Computers in Simulation, 2021, 185: 510-534

29. Bo Hou, Yongbin Ge*. High-order compact LOD methods for solving high dimensional convection equations. Computational and Applied Mathematics, 2021 (Accepted)