Wei Liu

Wei Liu

Associate Professor, NUDT

Publications of Wei Liu

Google Scholar, arXiv, ORCID, ResearchGate, MathSciNet, Web of Science, Scopus

  1. Wei Liu, Zhenye Wen*, Yongjun Yuan, and Xiaofei Zhao, Computing defocusing action ground state of rotating nonlinear Schrödinger equation: methods via various formulations and comparison, Journal of Computational Physics, Vol. 538 (2025), article 114193 [code]

  2. Zhaoxing Chen, Wei Liu, Ziqing Xie*, and Wenfan Yi, Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs, SIAM Journal on Scientific Computing, (2025), in press [code]

  3. Haifan Chen, Guozhi Dong*, José A. Iglesias, Wei Liu, and Ziqing Xie, Second-order flows for approaching stationary points of a class of nonconvex energies via convex-splitting schemes, SIAM Journal on Scientific Computing, Vol. 47 (2025), pp. A1604–A1627 (arXiv:2402.12173)

  4. 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 (arXiv:2311.02890)

  5. Wei Liu, Ziqing Xie*, and Wenfan Yi, Nonmonotone local minimax methods for finding multiple saddle points, Journal of Computational Mathematics, Vol. 42 (2024), pp. 851–884 (arXiv:2109.01865)

  6. 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 (arXiv:2108.05102)

  7. 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 (arXiv:2203.06383)

  8. Haifan Chen, Guozhi Dong*, Wei Liu, and Ziqing Xie, Second-order flows for computing the ground states of rotating Bose-Einstein condensates, Journal of Computational Physics, Vol. 475 (2023), article 111872 (arXiv:2205.00805)

  9. 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 (arXiv:2209.04684)

  10. Yongyong Cai and Wei Liu*, Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates, Journal of Computational Physics, Vol. 433 (2021), article 110183

  11. 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

  12. Wei Liu, Ziqing Xie*, and Wenfan Yi, Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs, Communications in Mathematical Sciences, Vol. 19 (2021), pp. 147–174

  13. Wei Liu, Ziqing Xie, and Yongjun Yuan*, Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions to semilinear problems (in Chinese), SCIENTIA SINICA Mathematica, Vol. 51 (2021), pp. 1407–1431 (arXiv:2308.06529 for English version)