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 Duo Cao and Jie Shen)Computing interface with quasiperiodicity, Journal of Computational Physics, 424, 109863(2021).
  2. (With Jeff Z. Y. Chen)General liquid-crystal theory for anisotropically shaped molecules: symmetry, orientational order parameters, and system free energy, Physical Review E, 102(6), 062701(2020).
  3. Classifying local anisotropy formed by rigid molecules: symmetries and tensors, SIAM Journal on Applied Mathematics, 80(6), 2518-2546(2020).
  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