Faculty: Professor; Associate Professor; Lecturer

Jiayin Li

Associate professor of Institute of Computational Mathematics.

Email：lijiayin@lzu.edu.cn

Ph.D.Xiamen University, China, 2023, Computational Mathematics

Biography

Dr. Jiayin Li is an associate professor at Lanzhou University. She completed her undergraduate studies in Mathematics and Applied Mathematics at China University of Geosciences (Wuhan) in 2018. And then, she was directly admitted to the School of Mathematical Sciences at Xiamen University for a doctoral degree in Computational Mathematics. Her doctoral supervisor was Professor Jianxian Qiu, and she was also co-supervised by Professor Chi-Wang Shu. After obtaining her Ph.D. in 2023, she worked as a joint postdoctoral fellow at Peking University and Peking University Chongqing Big Data Research Institution, focusing on the development of the finite element industrial software BEFEM. Her main responsibility was to build a fast algorithm framework for multigrid method, under the supervision of Professor Jun Hu. She has presided over one general project and one special project of the Postdoctoral Science Foundation of China, and published several articles in international journals such as Journal of Computational Physics and Communications in Computational Physics.

Work experience
2023.7-2025.6 School of Mathematical Sciences, Peking University and Peking University Chongqing Big Data Research Institution, Joint Postdoctor, Advisor: Prof. Jun Hu
2025.7-Present School of Mathematics and Statistics, Lanzhou University, Associate Professor

Education experience
2014.9-2018.6 School of Mathematics and Physics, China University of Geosciences (Wuhan), China
Mathematics and Applied Mathematics, Bachelor’s degree
2018.9-2023.6 School of Mathematical Sciences, Xiamen University, China
Computational Mathematics, Doctor's degree, Advisor: Prof. Jianxian Qiu, Joint training advisor: Prof. Chi-Wang Shu

Social experience

Teaching and guiding the situation of graduate students

Project results

Research interests

1. Computational fluid dynamics
2. Research on numerical solutions for hyperbolic conservation laws (Weighted essentially non-oscillatory (WENO)，Hermite weighted essentially non-oscillatory (HWENO))
3. Research on quick methods for large sparse linear equations (Multigrid (MG))

Publications

1. Jiayin Li, Chi-Wang Shu and Jianxian Qiu, Multi-resolution HWENO schemes for hyperbolic conservation laws, J. Comput. Phys., 446 (2021), 110653. (T1) 
2. Jiayin Li, Chi-Wang Shu and Jianxian Qiu, Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws, Comm. Comput. Phys., 32 (2022), 364-400. (T1) 
3. Jiayin Li, Chi-Wang Shu and Jianxian Qiu, Derivative-based finite-volume MR-HWENO scheme for steady-state problems, Comm. Comput. Phys., 36(2024), 877-907. (T1) 
4. Jiayin Li, Jingwei Li and Fenghua Tong, Maximum bound principle preserving and mass conservative projection method for the conservative Allen-Cahn equation, Appl. Math. Lett., 156 (2024), 109151. (T3) 
5. Jiayin Li and Jingwei Li, Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen-Cahn equations, Commun. Nonlinear Sci. Numer. Simul., 139 (2024), 108271. (T3)

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