Xu, Jie
Office: MATH 439
Education
- 09/2010 -- 07/2015: Ph.D, supervised by Prof. Pingwen Zhang,
School of Mathematical Science, Peking University.
- 09/2006 -- 07/2010: B.S.,
School of Mathematical Science, Peking University.
Experiences
- 04/2016 -- now: Postdoc, Department of Mathematics, Purdue University. With Prof. Jie Shen.
- 08/2015 -- 03/2016: Visiting Scholar, School of Mathematical Science, Peking University.
Teaching
- Spring 2017/2018/2019, MA 266, Ordinary Differential Equations
Research Interest
- Modeling and simulation of liquid crystals
- Simulation of interface
- Numerical methods of gradient flows.
Publications
- (With Pingwen Zhang) From microscopic theory to macroscopic theory: symmetries and order parameters of rigid molecules, Science China Mathematics, 57, 443-468(2014).
- (With Chu Wang, An-Chang Shi and Pingwen Zhang) Computing Optimal Interfacial Structure of Modulated Phases, Communications in Computational Physics, 21, 1-15(2017).
- (With Pingwen Zhang) The transmission of symmetry in liquid crystals, Communications in Mathematical Sciences, 15(1), 185-195(2017).
- (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).
- (With Jie Shen and Pingwen Zhang) Approximating functions on SO(3) by Wigner D-matrix and applications, Journal of Scientific Computing, 74(3), 1706-1724(2018).
- (With Pingwen Zhang) Calculating elastic constants of bent-core molecules from Onsager-theory-based tensor model, Liquid Crystals, 45(1), 22-31(2018).
- (With Yixiang Luo and Pingwen Zhang) A Fast Algorithm for the Moments of Bingham Distribution, Journal of Scientific Computing, 75(3), 1337-1350(2018).
- (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).
- (With Jie Shen and Jiang Yang) The scalar auxiliary variable (SAV) approach for gradient flows, Journal of Computational Physics, 353, 407-416(2018).
- (With Jie Shen) Stabilized predictor-corrector schemes for gradient flows with strong anisotropic free energy, Communications in Computational Physics, 24(3), 635-654(2018).
- (With Jie Shen and Jiang Yang) A new class of efficient and robust energy stable schemes for gradient flows, SIAM Review, accepted.
- (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).
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