研究领域

数值代数

教育背景

2001.9-2005.7 广西师范大学数学科学学院

应用数学 理学学士

2005.9-2008.7 兰州大学数学与统计学院  

计算数学 理学硕士

2008.9-2011.7 中国科学院数学与系统科学研究院

计算数学 理学博士

工作经历

2011.7-2018.4  西北大学数学学院  讲师

2018.4  至今西北大学数学学院  副教授

科研项目

1. 国家自然科学基金专项基金项目数学天元基金：线性化离散不可压Navier-Stokes方程的预处理算法研究（11326241），2014.01 -2014.12，主持。（已结题）

2. 陕西省教育厅专项科研项目：分数阶扩散方程的矩阵分裂预处理与迭代算法（16JK1760），2016.06-2017.12，主持。（已结题）

3. 国家自然科学基金青年科学基金项目：分数阶微分方程中Toeplitz型线性方程组的预处理与迭代算法研究（11601425），2017.01-2019.12，主持。（已结题）

科研论文                                              

1. Yu-Hong Ran and Li Yuan, On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems, Applied Mathematics and Computation, 217(2010), 3050-3068.

2. Yu-Hong Ran and Li Yuan, Modified alternating direction implicit iteration method for linear systems from the incompressible Navier--Stokes equations. International Journal of Computer Mathematics, 88(2011), 3762-3779.

3. Zhong-Zhi Bai, Yu-Hong Ran and Li Yuan, On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations, Numerical Algorithms, 65(2014), 43-68.

4. Yu-Hong Ran and Jun-Gang Wang, On preconditioned iterative methods for unsteady incompressible Navier-Stokes equations, Applied Mathematics and Computation, 234(2014), 477-485.

5. Yu-Hong Ran, Jun-Gang Wang and Dong-Ling Wang, On HSS-like iteration method for the space fractional coupled nonlinear Schrödinger equations, Applied Mathematics and Computation, 271(2015), 482-488.

6.  Yu-Hong Ran and Jun-Gang Wang, On ADI-like iteration method for fractional diffusion equations, Linear Algebra and its Applications, 493 (2016), 544-555.

7. Yu-Hong Ran, Jun-Gang Wang and Dong-Ling Wang, On partially inexact HSS iteration methods for the complex symmetric linear systems in space fractional CNLS equations, Journal of Computational and Applied Mathematics, 317(2017), 128-136.

8. Yu-Hong Ran, Jun-Gang Wang and Dong-Ling Wang, On preconditioners based on HSS for the space fractional CNLS equations, East Asian Journal on Applied Mathematics, 7 (1)2017, 70-81.

9. Jun-Gang Wang, Yan Li and Yu-Hong Ran, Convergence of Chebyshev type regularization method under Morozov discrepancy principle, Applied Mathematics Letters, 74(2017), 174–180.

10. Jun-Gang Wang, Yu-Hong Ran, Zhan-Bin Yuan, Uniqueness and numerical scheme for the Robin coefficient identification of the time-fractional diffusion equation, Computers and Mathematics with Applications, 75(11)2018, 4107-4114.

11. Jun-Gang Wang, Yu-Hong Ran and Dong-Ling Wang, On structure preserving and circulant preconditioners for the space fractional coupled nonlinear Schrödinger equations, Numerical Linear Algebra with Applications, 25(4)2018, 0-e2159.

12. Jun-Gang Wang, Yu-Hong Ran, An iterative method for an inverse source problem of time-fractional diffusion equation, Inverse Problems in Science and Engineering, 26(10)2018,1509-1521.

13. 冉育红，李存吉，殷俊锋，关于非局部扩散模型的一种快速预处理算法，同济大学学报（自然科学版），49(4)2021，569-576.

14. Yu-Hong Ran, Min Yan, Preconditioned CG methods for a variable-coefficient nonlocal diffusion model, East Asian Journal on Applied Mathematics, 12(2)2022, 421-434.