Lin Li

Lin Li (李林)
Doctor.

University of South China
University of South China

Address: 28 Changsheng West Road, Zhengxiang District, Hengyang, Hunan, China
News | Research Interest | Education | Publications | Teaching

Email: lilinmath@usc.edu.cn
[ ResearchGate ] [ ORCID ] [ Curriculum Vitae ]

News

[2025.4.9] I will hold an academic conference on scientific computing and applications at University of South China on May 23-25, 2025. [ PDF ] My report [ PDF ]
[2025.3.1] Our paper "An improved adaptive orthogonal basis method for multiple solutions of nonlinear elliptic equations in varying geometry" has been submitted.
[2025.1.14-2025.1.17] I am going to visit the group of Qingsong Zou in Sun Yat-Sen University, Guangzhou.
[2025.1.9] I am going to give a talk on the Hengyang Normal University in Hengyang, China. [ PDF ]
[2024.11.29-12.2] I am going to give a talk on the 第九届谱方法及其应用学术研讨会 in shenzhen, China. [ PDF ]
[2024.11.08-2024.11.15] I am going to visit the group of Jinqiao Duan in Great Bay University, shenzhen. Discuss researches: minimizing functionals, computing biological systems, neuroscience, brain diseases and so on.
[2024.10.21] Our paper "An efficient LM-EXCMG-Deflation method for multiple solutions of semilinear elliptic systems" has been submitted.
[2024.10.24-27] I am going to give a talk on the 22st Annual Meeting of CSIAM in Nanjing, China. [ PDF ]
[2024.07.21-2024.08.21] I am going to visit the group of Haijun Yu in institute of computational mathematics and scientific engineering computing, Beijing.
[2024.06.18-21] I am going to give a talk at Hunan Normal University, Changsha. [ PDF ]
[2024.06.1-3] I give a talk at Harbin Institute of Technology, Shenzhen. [ PDF ]
[2024.01.29] Our paper "An adaptive orthogonal basis method for computing multiple solutions of differential equations with polynomial nonlinearities" has been submitted. See [ PDF ].

Research Interest

Algorithms on multiple solutions
Partial differential equations and numerical analysis
Derivative-free and trust region methods
Optimization

Education and Visit

2013.09-2017.06 Ph.D in School of Mathmatics and Physics , University of Science and Technology Beijing . Supervisor: Prof. Ping Lin (林平)
2018.05-2018.06 Visit Department of Mathematics , National Central University, Taiwan . Visiting tutor: Prof. Suyu Yang (杨肃煜)
2019.10-2020.10 Visit Applied Mathematics , Illinois Institute of Technology, USA . Visiting tutor: Prof. Jinqiao Duan (段金桥)
2022.06-2022.08 Visit Division of Mathematical Sciences , Nanyang Technological University, Singapore . Visiting tutor: Prof. Lilian Wang (王立联)
2024.07-2024.08 Visit Academy of Mathematics and Systems Science, CAS . Visiting tutor: Prof. Haijun Yu (于海军)

Publications

[1] Lin Li, Pengcheng Xie and Li Zhang. "A novel numerical method tailored for unconstrained optimization problems". https://arxiv.org/abs/2504.02832.

[2] Lin Li, Yuheng Zhou, Pengcheng Xie and Huiyuan Li. "A spectral Levenberg-Marquardt-Deflation method for multiple solutions of semilinear elliptic systems". https://arxiv.org/abs/2503.01912.

[3] Yangyi Ye, Lin Li, Pengcheng Xie and Haijun Yu. "An improved adaptive orthogonal basis deflation method for multiple solutions with applications to nonlinear elliptic equations in varying domains". https://arxiv.org/abs/2503.07624.

[4] Lin Li, Yangyi Ye and Huiyuan Li. "An Adaptive Orthogonal Basis Method for Computing Multiple Solutions of Differential Equations with Polynomial Nonlinearities". Journal of Scientific Computing. 11(2024) 1-28. [ PDF ]

[5] Lin Li, Lilian Wang and Huiyuan Li. "An efficient spectral trust-region deflation method for multiple solutions". Journal of Scientific Computing. 32(2023) 1-23. [ PDF ]

[6] Yanxiao Sun, Ping Lin and Lin Li. "Temporal stability analysis for multiple similarity solutions of viscous incompressible flows in porous channels with moving walls". Applied Mathematical Modelling. 77(2020) 738-755. [ PDF ]

[7] Qizheng Huang, Lin Li and Zigen Ouyang. "Asymptotic solutions on multiple solutions arising from laminar flow in a uniformly porous channel with expanding or contracting walls". Boundary Value Problems. 3(2019) 1-15. [ PDF ]

[8] Hongxia Guo, Ping Lin and Lin Li. "Asymptotic solutions for the asymmetric flow in a channel with porous retractable walls under a transverse magnetic field", Applied Mathematics and Mechanics. 3(2019) 1-18. [ PDF ]

[9] Lin Li, Ping Lin, Xinhui Si and Liancun Zheng. "A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall". Journal of Computational and Applied Mathematics. 313(2017), 536-549. [ PDF ]

[10] Lin Li, Hong Zhang, Liancun Zheng and Xinhui Si. "Asymptotic solutions for laminar flow based on blood circulation through a uniformly porous channel with retractable walls and an applied transverse magnetic field". Powder Technology. 308(2017) 398-409. [ PDF ]

[11] Xinhui Si, Lin Li, Liancun Zheng, Xinxin Zhang and Baiyu Liu. "The exterior unsteady viscous flow and heat transfer due to a porous expanding stretching cylinder". Computers & Fluids. 105(2014) 280-284. [ PDF ]