I am currently a Research Associate at the School of Data Science, City University of Hong Kong (CityU). Before joining CityU in April 2024, I worked as a postdoc at National University of Singapore and South China Normal University. I received my PhD and BSc from Hunan Normal University in 2020 and 2014 respectively. For more details please refer to my CV.

My research is at computational and applied mathematics with a main focus on scientific computing and numerical analysis. I am interested in combining analysis, partial differential equations, dynamical systems, algorithm design, numerical analysis and optimization techniques to solve nonlinear problems with applications in quantum physics and materials science.

News

• (01 May 2024) I have been invited to be a minisymposium speaker at the 22nd Annual Meeting of China Society for Industrial and Applied Mathematics (CSIAM2024), Nanjing, China, October 24 – 27, 2024.
• (25 Apr 2024) I have moved to the School of Data Science at City University of Hong Kong as a Research Associate.
• (15 Apr 2024) Our paper Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs (joint with Zhaoxing Chen, Ziqing Xie and Wenfan Yi) is available at arXiv: http://arxiv.org/abs/2404.09892.
• (19 Feb 2024) Our paper Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes (joint with Haifan Chen, Guozhi Dong, José A. Iglesias and Ziqing Xie) is available at arXiv: https://arxiv.org/abs/2402.12173.
• (20 Dec 2023) I have been invited to be a minisymposium speaker at the International Conference on Scientific Computation and Differential Equations (SciCADE2024), National University of Singapore, Singapore, July 15 – 19, 2024.
• (28 Nov 2023) It is my pleasure to be an invited speaker at the workshop on High Order Numerical Methods for PDEs in Applied Sciences, Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China, January 29 – February 2, 2024.
• (06 Nov 2023) Our paper On action ground states of defocusing nonlinear Schrödinger equations, a joint work with Chushan Wang and Xiaofei Zhao, is available at arXiv: https://arxiv.org/abs/2311.02890.
• (25 May 2023) Joint with Prof Weizhu Bao, we are organizing a one-day Workshop on Modeling and Simulation for Materials Science on 8 June 2023 (Thursday) at the Department of Mathematics at NUS.
• (04 May 2023) It is my pleasure to be an invited speaker at the EASIAM workshop on Applied and Computational Mathematics, National University of Singapore, Singapore, 17 – 19 May 2023.
• (17 Apr 2023) I will give invited minisymposium talks at the 10th International Congress on Industrial and Applied Mathematics (ICIAM2023) (Waseda University, Tokyo, Japan, 20 – 25 August 2023) and the International Conference on Spectral and High Order Methods (ICOSAHOM2023) (Yonsei University, Seoul, Korea, 14 – 18 August 2023).
• (15 Apr 2023) I have been awarded the First Prize of Youth Excellent Paper of Hunan Society of Computational Mathematics and Application Software (2022) for the paper “Normalized gradient flow with Lagrange multiplier for computing ground states of Bose-Einstein condensates” (published in SIAM J. Sci. Comput., 2021, 43: B219–B242, joint with Yongyong Cai).
• (11 Apr 2023) Excited to start my new position as a Research Fellow in the Department of Mathematics at National University of Singapore.
• (16 Mar 2023) I have been invited to give a seminar talk in the School of Mathematics at Hunan University.
• (23 Feb 2023) It’s a great pleasure to give a presentation in Workshop 2: Multiscale methods and analysis for dispersive PDEs and applications to quantum materials (20 – 24 February 2023), at the program on “Multiscale Analysis and Methods for Quantum and Kinetic Problems” (30 January 2023 – 10 March 2023), Institute for Mathematical Sciences, National University of Singapore, Singapore.
• (17 Jan 2023) Our paper Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs has been accepted in Science China Mathematics. This is a joint work with Ziqing Xie (Hunan Normal University) and Wenfan Yi (Hunan University).
• (03 Jan 2023) Our paper Nonmonotone local minimax methods for finding multiple saddle points has been accepted in Journal of Computational Mathematics. This is a joint work with Ziqing Xie (Hunan Normal University) and Wenfan Yi (Hunan University).
• (19 Dec 2022) Our paper Second-order flows for computing the ground states of rotating Bose-Einstein condensates has been accepted in Journal of Computational Physics. This is a joint work with Haifan Chen (Hunan Normal University), Guozhi Dong (Central South University), and Ziqing Xie (Hunan Normal University).
• (06 Dec 2022) I have been awarded the 2022 Excellent Doctoral Dissertation Award of Hunan Province by the Hunan Provincial Department of Education.
• (18 Oct 2022) Our paper A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates has been accepted in Journal of Computational Physics. This is a joint work with Ziqing Xie (Hunan Normal University) and Yongjun Yuan (Hunan Normal University).
• (12 Oct 2022) I have been invited to visit the Institute for Mathematical Sciences at NUS from 30 January to 28 February 2023 (concurrent with my visit to the Department of Mathematics at NUS). During this visit, I will attend the scientific program on Multiscale Analysis and Methods for Quantum and Kinetic Problems (30 January 2023 – 10 March 2023).
• (03 Oct 2022) Our paper Computing the action ground state for the rotating nonlinear Schrödinger equation has been accepted in SIAM Journal on Scientific Computing. This is a joint work with Yongjun Yuan (Hunan Normal University) and Xiaofei Zhao (Wuhan University).
• (26 Feb 2022) I am a one-year visiting scholar in the Department of Mathematics at National University of Singapore from February 2022 until February 2023. This visiting program is funded by the Office of China Postdoc Council (OCPC).
• (17 Dec 2021) I have been awarded the 2021 Excellent Doctoral Dissertation Award of Hunan Normal University.
• (04 Sep 2021) I have been invited by Dr Xiaofei Zhao to visit the School of Mathematics and Statistics at Wuhan University from September to October 2021.
• (17 Jul 2021) I will give an invited talk at the Workshop on “Modern Numerics for Quantum Mechanics and Related Problems”, Sichuan University, Chengdu, China, 20 – 22 July 2021.
• (30 May 2021) I have been invited to give a minisymposium talk at the 13th Annual Meeting of the Chinese Computational Mathematics (CSCM2021), Nanjing, China, 15 -- 19 August 2021 15 – 19 July 2023.
• (25 May 2021) I have been invited to be a minisymposium speaker at the 10th National Conference on Finite Element Methods, Urumqi, China, 25 – 28 July 2021.
• (29 Jan 2021) Our paper Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates, a joint work with Yongyong Cai (Beijing Normal University), has been accepted in Journal of Computational Physics.
• (23 Nov 2020) Our paper Normalized gradient flow with Lagrange multiplier for computing ground states of Bose-Einstein condensates, a joint work with Yongyong Cai (Beijing Normal University), has been accepted in SIAM Journal on Scientific Computing.
• (31 Oct 2020) I am pleased to give an invited minisymposium talk at the 18th Annual Meeting of the China Society for Industrial and Applied Mathematics (CSIAM2020), Changsha, China, 29 October 2020 – 1 November 2020.
• (12 Aug 2020) Our paper Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs, a joint work with Ziqing Xie and Wenfan Yi, has been accepted in Communications in Mathematical Sciences.
• (22 Jul 2020) I have been hired as a Postdoctoral Fellow in Mathematics at South China Normal University and completed the filing in the Office of China Postdoc Council (OCPC).
• (22 Jul 2020) I have been invited by Prof Qinglin Tang to visit the School of Mathematics at Sichuan University from 25 July to 24 September 2020.
• (22 Jun 2020) I have received my PhD degree at Hunan Normal University.
• (23 Mar 2020) Our paper Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions of semilinear problems, a joint work with Ziqing Xie and Yongjun Yuan, has been accepted in SCIENTIA SINICA Mathematica (in Chinese).