Wei Liu (刘伟)
Associate Professor
Department of Mathematics, National University of Defense Technology
Education
- Ph.D. in Computational Mathematics, Hunan Normal University, 2020
- B.Sc. in Information and Computational Science, Hunan Normal University, 2014
Employment
- Associate Professor, Department of Mathematics, National University of Defense Technology, September 2024 — present
- Research Associate, School of Data Science, City University of Hong Kong, April 2024 — July 2024
- Research Fellow, Department of Mathematics, National University of Singapore, April 2023 — April 2024
- Visiting Scholar, Department of Mathematics, National University of Singapore, February 2022 — February 2023 (supported by the International Postdoctoral Exchange Fellowship Program)
- Postdoctoral Fellow, South China Research Center for Applied Mathematics and Interdisciplinary Studies (CAMIS), South China Normal University, July 2020 — March 2023
Research Area
- Computational and Applied Mathematics, Scientific Computing
- Numerical Methods for Partial Differential Equations (PDEs)
- Nonconvex Variational Problems, Multiple Solutions of Nonlinear PDEs
- Computational Quantum Physics, Bose-Einstein Condensation
- Nonlinear Schrödinger Equations, Nonlinear Dispersive PDEs
Representative Publications
- Wei Liu and Yongyong Cai*, Normalized gradient flow with Lagrange multiplier for computing ground states of Bose-Einstein condensates, SIAM Journal on Scientific Computing, Vol. 43 (2021), pp. B219–B242
—— This paper was recognized as a First-Class Youth Excellent Paper by Hunan Society of Computational Mathematics and Application Software in 2022. - Wei Liu, Yongjun Yuan*, and Xiaofei Zhao, Computing the action ground state for the rotating nonlinear Schrödinger equation, SIAM Journal on Scientific Computing, Vol. 45 (2023), pp. A397–A426
- Wei Liu, Ziqing Xie, and Yongjun Yuan*, A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates, Journal of Computational Physics, Vol. 473 (2023), article 111719
- Wei Liu, Ziqing Xie, and Wenfan Yi*, Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs, Science China Mathematics, Vol. 66 (2023), pp. 2361–2384
- Wei Liu, Chushan Wang*, and Xiaofei Zhao, On action ground states of defocusing nonlinear Schrödinger equations, Mathematical Models and Methods in Applied Sciences, Vol. 35 (2025), pp. 39–74
Funding
- International Postdoctoral Exchange Fellowship Program, No. PC2021024, 2021
- Principal Investigator, National Natural Science Foundation of China, No. 12101252, January 2022 — December 2024
- Principal Investigator, Guangdong Basic and Applied Basic Research Foundation, No. 2022A1515010351, January 2022 — December 2024
- Participant, National Natural Science Foundation of China, No. 12171148, January 2022 — December 2025 (PI: Ziqing Xie)
- Participant, National Natural Science Foundation of China, No. 11971007, January 2020 — December 2023 (PI: Yongjun Yuan)
Awards
- Excellent Doctoral Dissertation Award of Hunan Province, 2022
- First Prize of Youth Excellent Paper of Hunan Society of Computational Mathematics and Application Software, 2022
- National Scholarship for Graduate Students, 2015
- First Prize in National College Student Mathematics Contest (Hunan Division), 2013
- Second Prize in China Undergraduate Mathematical Contest in Modeling, 2012
Invited Talks
- International Conference on Scientific Computation and Differential Equations (SciCADE2024), National University of Singapore, Singapore, July 15 – 19, 2024 (Minisymposium Talk & Poster)
- Workshop on Scientific Computing and Data Science, The Chinese University of Hong Kong, Hong Kong, July 11 – 12, 2024
- The 10th International Congress on Industrial and Applied Mathematics (ICIAM2023), Waseda University, Tokyo, Japan, August 20 – 25, 2023 (Minisymposium Talk & Poster)
- International Conference on Spectral and High Order Methods (ICOSAHOM2023), Yonsei University, Seoul, Korea, August 14 – 18, 2023 (Minisymposium Talk)
- Workshop 2: Multiscale methods and analysis for dispersive PDEs and applications to quantum materials, in the program on “Multiscale Analysis and Methods for Quantum and Kinetic Problems”, Institute for Mathematical Sciences, National University of Singapore, Singapore, February 20 – 24, 2023 [slides] [video]