李玉萍(Yuping Li)

Contact Information:
Postal address: Shenzhen MSU-BIT University, 1 International University Park Road, Longgang District, 518172 Shenzhen, Guangdong Province, P.R. China.
Office: Room 333, Main Building.
Email: 6420240112@smbu.edu.cn liyuping_math@163.com
Educational Background:
·2020.09 – 2024.06, Ph.D. in Mathematics, School of Science, Harbin Institute of Technology, Shenzhen, Supervisor: Prof. Hui Liang.
·2018.09 – 2020.06, M.S. in Computational Mathematics, School of Mathematics, Harbin Institute of Technology, Supervisor: Prof. Chiping Zhang.
·2014.09 – 2018.06, B.S. in Information and Computing Sciences, School of Science and Mathematics, Heilongjiang University.
Working Experience:
·2024.09 – Present, Postdoctoral Fellowship, MSU-BIT-SMBU Joint Research Centre of Applied Mathematics, Shenzhen MSU-BIT University, Supervisor: Prof. Ye Zhang.
Research interests:
·Numerical methods for Volterra integral equations and integro-differential equations, Ill-posed inverse problems
Publications and Preprints:
[1].Yuping Li, Hui Liang, Huifang Yuan. Discontinuous Galerkin methods for the generalized auto-convolution Volterra integral equations. Advances in Applied Mathematics and Mechanics, 2024, accepted.
[2].Yuping Li, Hui Liang, Huifang Yuan. On the convergence of Galerkin methods for auto-convolution Volterra integro-differential equations. Numerical Algorithms, 2024, online.
DOI: https://doi.org/10.1007/s11075-024-01874-0
[3].Yuping Li, Hui Liang. Continuous piecewise polynomial collocation methods for generalized auto-convolution Volterra integral equations. Journal of Integral Equations and Applications, 2023. 35(1): 41-59. DOI:10.1216/jie.2023.35.41
[4].Yuping Li, Zhanwen Yang, Hui Liang. Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations. Mathematics and Computers in Simulation, 2022, 199: 341-358. DOI: 10.1016/j.matcom.2022.03.026
[5].Yuping Li, Zhanwen Yang, Chiping Zhang. Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations. Computational & Applied Mathematics, 2019, 38(4) : 170, 1-17. DOI:10.1007/s40314-019-0954-x