刘利斌,博士,教授,硕士生导师。
【电子邮箱】 liulibin969@163.com
【研究方向】奇异摄动问题的自适应算法、分数阶微分方程的数值解法和智能计算。
【主持项目】
[1]国家自然科学基金:几类奇异摄动问题的自适应移动网格算法及应用研究。
[2]国家自然科学基金:奇异摄动对流扩散方程的高阶谱配置方法研究
[3] 广西自然科学基金面上项目:奇异摄动 Volterra 积分微分方程及分数阶微分方程的自适应网格算法
[4] 广西自然科学基金青年项目:基于混合群智能计算的奇异摄动问题数值解法研究
【教育经历】
2001/09-2005/06, 东华理工大学,理学院,学士
2006/09-2009/06, 广西民族大学,理学院,硕士
2012/09-2015/07,华南师范大学,数学科学学院,博士
【工作研究经历】
2009/09-2016/12,池州学院,数学计算机科学系,助教。
2017/01-2017/11,网投十大信誉可靠平台,信誉最好的20个网投网站,讲师
2017/12-2022.12,网投十大信誉可靠平台,信誉最好的20个网投网站,副教授
2023/01-至今,网投十大信誉可靠平台,信誉最好的20个网投网站,教授
2019/11-2020/11,新加坡南洋理工大学,访问学者
【近五年发表的主要论文】
1. Li-Bin Liu, Guangqing Long, Zaitang Huang, Aijia Ouyang, Rational spectral collocation and differential evolution algorithms for singularly perturbed problems with an interior layer, Journal of Computational and Applied Mathematics, 2018, 335: 312~322.
2. Li-Bin Liu, Haitao Leng, Guangqing Long, Analysis of the SDFEM for singularly perturbed differential-difference equations, Calcolo, 2018, 55(23): 1~23.
3. Ke-Zhong Lu, Li-Bin Liu*, Honglin Fang, et.al., A dual mutation differential evolution algorithm for singularly perturbed problems with two small parameters, Journal of Intelligent & Fuzzy Systems, 2019, 36: 6579~6587.
4. Li-Bin Liu, Guangqing Long, Zhongdi Cen, A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition, Numerical Algorithms, 2020,83: 719~739.
5. Ying Liang, Li-Bin Liu*, Zhongdi Cen, A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations, Computational and Applied Mathematics, 2020, 39: 255.
6. Li-Bin Liu, Zhifang Liang, Guangqing Long, Ying Liang, Convergence analysis of a finite difference scheme for a Riemann-Liouville fractional derivative two-point boundary value problem on an adaptive grid, Journal of Computational and Applied Mathematics, 2020, 375: 112809.
7. Zhongdi Cen,Li-Bin Liu*,Jian Huang, A posteriori error estimation in maximum norm for a two-point boundary value problem with a Riemann–Liouville fractional derivative, Applied Mathematics Letters, 2020, 102: 106086.
8. Jian Huang, Zhongdi Cen, Li-Bin Liu, Jialiang Zhao, An efficient numerical method for a Riemann-Liouville two-point boundary value problem, Applied Mathematics Letters, 2020, 103: 106201.
9. Jian Huang, Zhongdi Cen*, Aimin Xu, Li-Bin Liu, A posteriori error estimation for a singularly perturbed Volterra integro-differential equation, Numerical Algorithms, 2020, 83: 549~563.
10. Zhongdi Cen,Aimin Xu,Anbo Le, Li-Bin Liu, A uniformly convergent hybrid difference scheme for a system of singularly perturbed initial value problems, International Journal of Computer Mathematics, 2020,97: 1058~1086.
11. Li-Bin Liu, Ying Liang, Jian Zhang, et.al., A robust adaptive grid method for singularly perturbed Burger-Huxley equations, Electronic Research Archive, 2020, 28(4):1439~1457.
12. Zhongdi Cen, Li-Bin Liu*, Aimin Xu, A second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition, Journal of Computational and Applied Mathematics, 2021, 385: 113205.
13. Li-Bin Liu, Xiu Yang, Convergence analysis of Richardson extrapolation for a quasilinear singularly perturbed problem with an integral boundary condition on an adaptive grid, Applied Mathematics Letters, 2021, 115: 106976.
14. Libin Liu, Yanping Chen, Ying Liang, Numerical analysis of a nonlinear singularly perturbed delay Volterra integro-differential equation on an adaptive grid, Journal of Computational Mathematics, 2022, 40(2): 259-275.
15. Li-Bin Liu, Ciwen Zhu, Guangqing Long, Numerical analysis of a system of semi-linear singularly perturbed first-order differential equations on an adaptive grid, Mathematical Methods in the Applied Sciences, 2022, 45(2): 2042-2057.
16. Li-Bin Liu, Yanping Chen, A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation, International Journal of Computer Mathematics, 2022, 99(2): 240-246.
17. Li-Bin Liu, Lei Xu, Yong Zhang, High-order finite element method on a Vulanović–Bakhvalov mesh for a singularly perturbed convection–diffusion problem, Applied Mathematics Letters, 2023, 136: 108457.
18. Li-Bin Liu, Lei Xu, Yong Zhang, Error analysis of a finite difference scheme on a modified graded mesh for a time-fractional diffusion equation, Mathematics and Computers in Simulation, 2023, 209: 87-101.
19. Li-Bin Liu, Yige Liao, Guagnqing Long, A novel parameter-uniform numerical method for a singularly perturbed Volterra-differential equation, Computational and Applied Mathematics, 2023, 42: 12.
20. 包小兵,刘利斌*,梁治芳, 基于混合有限差分格式的非线性奇异摄动问题的最大范数的后验误差估计,工程数学学报,2022,39(3):428-438.
21. 包小兵, 刘利斌, 毛志, 奇异摄动反应扩散方程的后验误差估计及自适应算法,应用数学和力学, 2021, 42(3): 323-330.
22. 刘利斌,方虹淋,一类带参数的非线性奇异摄动问题的自适应移动网格算法,应用数学,2020, 33(2): 482-495.