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Manting Xie
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Manting XIE (谢满庭)

Associate Professor

Center for Applied Mathematics, Tianjin University

Office: Room 313, Former Dormitory No. 27

Address: No.92 Weijin Road, Tianjin 300072, P. R. China

Email: mtxie@tju.edu.cn, xiemanting@lsec.cc.ac.cn

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Brief CV

Education

  • 2012/09-2017/06   Institute of Computational Mathematics, University of Chinese Academy of Sciences,   Ph.D.,   Supervisor: Academician Qun Lin and Prof. Hehu Xie

  • 2008/09-2012/06   School of Mathematical Sciences, Shandong Normal University,   BSc

  • 2005/09-2008/06   Hebei Changli No.1 Middle School

    Work Experience

  • 2023/07-Now       Associate Professor,   Center for Applied Mathematics, Tianjin University,   China.
  • 2017/07-2023/06   Assistant Professor,   Center for Applied Mathematics, Tianjin University,   China.

    • Research

  • Mathematics and numerics in Bose-Einstein Condensates

  • Numerical methods for Eigenvalue problems in PDE

  • Finite element method, approximation theory and applications

  • Scientific computing, numerical analysis and applied mathematics in general

    • Publications

    Preparation

    1. A structure-preserving Fourier spectral method for computing the Bogoliubov-de Gennes excitations of spin-1 Bose-Einstein Condensates
      Li, Yu; Li, Zhixuan; Xie, Manting*; Zhang, Yong

    2. Augmented subspace adaptive finite element method for computing band gaps of photonic crystals
      Yue, Meiling; Xie, Hehu; Xie, Manting*

    Published

      Bogoliubov-de Gennes excitations

    1. A spectrally accurate numerical method for computing the Bogoliubov-de Gennes excitations of dipolar Bose-Einstein condensates
      Tang, Qinglin; Xie, Manting; Zhang, Yong; Zhang, Yuqing
      SIAM J. Sci. Comput., 44 (2022), no. 1, B100-B121.

    2. Efficient and accurate computation of the Bogoliubov-de Gennes excitations for the quasi-2D dipolar Bose-Einstein condensates
      Zhang, Yuqing; Liu, Xin; Xie, Manting*
      East Asian J. Appl. Math., 11 (2021), no. 4, 686-707.


      The ground states of Bose-Einstein condensates

    3. An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates
      Xie, Hehu; Xie, Manting*; Yin, Xiaobo; Zhao, Gang
      J. Sci. Comput., 94 (2023), no. 2, Paper No. 37, 20 pp.

    4. A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration
      Xu, Fei; Xie, Hehu; Xie, Manting; Yue, Meiling
      BIT, 61 (2021), no. 2, 645-663.

    5. Computable error estimates for ground state solution of Bose-Einstein condensates
      Xie, Hehu; Xie, Manting*
      J. Sci. Comput., 81 (2019), no. 2, 1072-1087.

    6. A multigrid method for ground state solution of Bose-Einstein condensates
      Xie, Hehu; Xie, Manting
      Commun. Comput. Phys., 19 (2016), no. 3, 648-662.


      Eigenvalue problems and nonlinear problems

    7. Local and parallel multigrid method for semilinear Neumann problem with nonlinear boundary condition
      Xu, Fei; Wang, Bingyi; Xie, Manting*
      Numer. Algorithms, doi: https://doi.org/10.1007/s11075-023-01643-5.

    8. A posteriori and superconvergence error analysis for finite element approximation of the Steklov eigenvalue problem
      Xiong, Chunguang; Xie, Manting*; Luo, Fusheng; Su, Hongling
      Comput. Math. Appl., 144 (2023), 90-99.

    9. Multigrid method for nonlinear eigenvalue problems based on Newton iteration
      Xu, Fei; Xie, Manting; Yue, Meiling
      J. Sci. Comput., 94 (2023), no. 2, Paper No. 42, 21 pp.

    10. An efficient adaptive multigrid method for the elasticity eigenvalue problem
      Xu, Fei; Huang, Qiumei; Xie, Manting*
      BIT, 62 (2022), no. 4, 2005-2033.

    11. A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type
      Li, Yu; Xie, Manting; Xiong, Chunguang
      J. Sci. Comput., 93 (2022), no. 3, Paper No. 66, 23 pp.

    12. Convergence and optimality of adaptive multigrid method for multiple eigenvalue problems
      Xu, Fei; Xie, Manting; Huang, Qiumei; Yue, Meiling; Ma, Hongkun
      J. Comput. Appl. Math., 415 (2022), Paper No. 114450, 20 pp.

    13. A multilevel Newton's method for the Steklov eigenvalue problem
      Yue, Meiling; Xu, Fei; Xie, Manting*
      Adv. Comput. Math., 48 (2022), no. 3, Paper No. 33, 29 pp.

    14. A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering
      Xie, Manting; Xu, Fei; Yue, Meiling
      ESAIM Math. Model. Numer. Anal. , 55 (2021), no. 5, 1779-1802.

    15. Adaptive time-stepping algorithms for molecular beam epitaxy: based on energy or roughness
      Luo, Fusheng; Xie, Hehu; Xie, Manting; Xu, Fei
      Appl. Math. Lett., 99 (2020), 105991, 8 pp.

    16. An efficient multigrid method for semilinear elliptic problems (in Chinese)
      Xie, Hehu; Xie, Manting; Zhang, Ning
      J. Numer. Methods Comput. Appl., 146 (2019), 55-72.

    17. Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
      Xie, Manting; Xie, Hehu; Liu, Xuefeng
      Jpn. J. Ind. Appl. Math., 35 (2018), no. 1, 335-354.

    18. Computable error estimates for a nonsymmetric eigenvalue problem
      Xie, Hehu; Xie, Manting; Yin, Xiaobo; Yue, Meiling
      East Asian J. Appl. Math., 7 (2017), no. 3, 583-602.

    19. A full multigrid method for nonlinear eigenvalue problems
      Jia, Shanghui; Xie, Hehu; Xie, Manting; Xu, Fei
      Sci. China Math., 59 (2016), no. 10, 2037-2048.


    Grants

  • 2023/01-2026/12, Mathematical analysis and numerical methods for the droplet dipolar Bose-Einstein Condensates, NSFC, No.12271400, (Co-PI)

  • 2021/01-2023/12, Research on the efficient finite element methods for steady states of rotating dipolar Bose-Einstein Condensates, NSFC, No.12001402, (PI)

  • 2021/01-2024/12, Operator Splitting Methods for Several Classes of Inverse Coefficients of Partial Differential Equations, NSFC, No.12071343, (Co-PI)

    • Conferences

  • ICIAM2023, Computations of the ground states and collective excitations of Bose-Einstein condensates, Tokyo, 2023.08

  • 第十三届中国数学会计算数学年会青年学者论坛, Computing the Bogoliubov-de gennes excitations of dipolar Bose-Einstein condensates, Nanjing, 2023.07

  • The 26th International Domain Decomposition Conference, A Multigrid Method for Ground State Solution of the Bose-Einstein Condensates, Hong Kong, 2020.12

  • IMG2019, Adaptive Multigrid Methods for the Ground State Solution of Bose-Einstein Condensates, Kunming, 2019.08

  • 第三届京津冀计算数学学术交流会, Bose-Einstein凝聚的多重网格方法及可计算误差估计, Hengshui, 2018.08

  • International Conference Applications of Mathematics 2018, Computable error estimates for a nonsymmetric eigenvalue problem, Prague, 2018.07

    • Teaching

    Undergraduate

    Postgraduate

    Undergraduate theses


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