Xu, Jie

徐劼 Xu, Jie

Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences.

Email: xujie@lsec.cc.ac.cn



Research Interest


  1. (With Jeff Chen)General liquid-crystal theory for anisotropically shaped molecules: symmetry, orientational order parameters, and system's free energy, Physical Review E, to appear.
  2. Classifying local anisotropy formed by rigid molecules: symmetries and tensors, SIAM Journal on Applied Mathematics, to appear.
  3. (With Duo Cao and Jie Shen)Computing interface with quasiperiodicity, Journal of Computational Physics, 424, 109863(2021).
  4. (With Jie Shen)Unconditionally bound preserving and energy dissipative schemes for a class of Keller-Segel equations, SIAM Journal on Numerical Analysis, 58(3), 1674-1695(2020).
  5. (With Jie Shen and Jiang Yang) A new class of efficient and robust energy stable schemes for gradient flows, SIAM Review, 61(3), 474-506(2019).
  6. (With Fangfu Ye and Pingwen Zhang) A tensor model for nematic phases of bent-core molecules based on molecular theory, Multiscale Modeling and Simulation, 16(4), 1581-1602(2018).
  7. (With Jie Shen) Convergence and error analysis for the scalar auxiliary variable (SAV) schemes to gradient flows, SIAM Journal on Numerical Analysis, 56(5), 2895-2912(2018).
  8. (With Pingwen Zhang) Onsager-theory-based dynamic model for nematic phases of bent-core molecules and star molecules, Journal of Non-Newtonian Fluid Mechanics, 251, 43-55(2018).
  9. (With Jie Shen and Pingwen Zhang) Approximations on SO(3) by Wigner D-matrix and applications, Journal of Scientific Computing, 74(3), 1706-1724(2018).
  10. (With Yixiang Luo and Pingwen Zhang) A Fast Algorithm for the Moments of Bingham Distribution, Journal of Scientific Computing, 75(3), 1337-1350(2018).
  11. (With Pingwen Zhang) Calculating elastic constants of bent-core molecules from Onsager-theory-based tensor model, Liquid Crystals, 45(1), 22-31(2018).
  12. (With Jie Shen and Jiang Yang) The scalar auxiliary variable (SAV) approach for gradient flows, Journal of Computational Physics, 353, 407-416(2018).
  13. (With Jie Shen) Stabilized predictor-corrector schemes for gradient flows with strong anisotropic free energy, Communications in Computational Physics, 24(3), 635-654(2018).
  14. (With Chu Wang, An-Chang Shi and Pingwen Zhang) Computing Optimal Interfacial Structure of Modulated Phases, Communications in Computational Physics, 21, 1-15(2017).
  15. (With Pingwen Zhang) The transmission of symmetry in liquid crystals, Communications in Mathematical Sciences, 15(1), 185-195(2017).
  16. (With Pingwen Zhang) From microscopic theory to macroscopic theory: symmetries and order parameters of rigid molecules, Science China Mathematics, 57, 443-468(2014).


  1. Symmetry-consistent expansion of interaction kernels between rigid molecules, arXiv:2006.09688, submitted.
  2. (With Jie Shen)Unconditionally positivity preserving and energy dissipative schemes for Poisson--Nernst--Planck equations, arXiv:2007.06132, submitted.
  3. Quasi-entropy by log-determinant covariance matrix and application to liquid crystals, arXiv:2007.15786, submitted.


Past teaching