劉利斌 教授

文章來(lái)源: 作者: 發(fā)布時(shí)間:2022年03月04日 字號(hào):A- A+

     


劉利斌,博士,教授,碩士生導(dǎo)師。

【電子郵箱】 liulibin969@163.com

【研究方向】奇異攝動(dòng)問(wèn)題的自適應(yīng)算法、分?jǐn)?shù)階微分方程的數(shù)值解法和智能計(jì)算。

【主持項(xiàng)目】

[1]國(guó)家自然科學(xué)基金:幾類奇異攝動(dòng)問(wèn)題的自適應(yīng)移動(dòng)網(wǎng)格算法及應(yīng)用研究。

[2]國(guó)家自然科學(xué)基金:奇異攝動(dòng)對(duì)流擴(kuò)散方程的高階譜配置方法研究

[3] 廣西自然科學(xué)基金面上項(xiàng)目:奇異攝動(dòng) Volterra 積分微分方程及分?jǐn)?shù)階微分方程的自適應(yīng)網(wǎng)格算法

[4] 廣西自然科學(xué)基金青年項(xiàng)目:基于混合群智能計(jì)算的奇異攝動(dòng)問(wèn)題數(shù)值解法研究

【教育經(jīng)歷】

2001/09-2005/06, 東華理工大學(xué),理學(xué)院,學(xué)士

2006/09-2009/06, 廣西民族大學(xué),理學(xué)院,碩士

2012/09-2015/07,華南師范大學(xué),數(shù)學(xué)科學(xué)學(xué)院,博士

【工作研究經(jīng)歷】

2009/09-2016/12,池州學(xué)院,數(shù)學(xué)計(jì)算機(jī)科學(xué)系,助教。

2017/01-2017/11,南寧師范大學(xué),數(shù)學(xué)與統(tǒng)計(jì)學(xué)院,講師

2017/12-2022.12,南寧師范大學(xué),數(shù)學(xué)與統(tǒng)計(jì)學(xué)院,副教授

2023/01-至今,南寧師范大學(xué),數(shù)學(xué)與統(tǒng)計(jì)學(xué)院,教授

2019/11-2020/11,新加坡南洋理工大學(xué),訪問(wèn)學(xué)者

【近五年發(fā)表的主要論文】

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, 202097: 10581086.

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 Vulanovi?–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,劉利斌*,梁治芳, 基于混合有限差分格式的非線性奇異攝動(dòng)問(wèn)題的最大范數(shù)的后驗(yàn)誤差估計(jì),工程數(shù)學(xué)學(xué)報(bào),2022,39(3):428-438.

21. 包小兵, 劉利斌, 毛志, 奇異攝動(dòng)反應(yīng)擴(kuò)散方程的后驗(yàn)誤差估計(jì)及自適應(yīng)算法,應(yīng)用數(shù)學(xué)和力學(xué), 2021, 42(3): 323-330.

22. 劉利斌,方虹淋,一類帶參數(shù)的非線性奇異攝動(dòng)問(wèn)題的自適應(yīng)移動(dòng)網(wǎng)格算法,應(yīng)用數(shù)學(xué),2020, 33(2): 482-495.




 

 

 

 

     

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