Liqi Associate professor

School of Science
  • The personal data
  • Resume
  • Research Field
  • Open Course
  • Research project
  • Thesis
  • Technological Achievements
  • Honor Reward
  • Work experience
头像

Degree: Ph.D.

Graduate School: Xi’an Jiaotong University

Email: liqihao@chd.edu.cn

Tel:

BirthDate: 1990-10-27

Office Location:

The personal data

  • Department: School of Science
  • Gender: male
  • BirthDate: 1990-10-27
  • Career: Associate professor
  • Degree: Ph.D.
  • Academic Credentials:
  • Graduate School: Xi’an Jiaotong University
  • Tel:
  • Email: liqihao@chd.edu.cn
  • Address School:
  • PostCode School: 710064
  • Fax School:
  • Office Location:
  • Education experience:

    • Ph.D. Xi'an Jiaotong University, Sept. 2016 --- Jul. 2020.

    • Ph.D. joint student(CSC), University of South Carolina, Columbia, SC, USA. Sep. 2018 --- May. 2020.

    • M. S. Lanzhou University, Sept. 2013 --- Jul. 2016.  

    • B. S. Lanzhou University, Aug. 2009 --- Jul. 2013.

Resume

Li Qi, a male born in October 1990 in Jiuquan, Gansu province, currently serves as an associate professor and master's supervisor. He has been a member of the faculty in the School of Science at Chang'an University since August 2020. He earned his Bachelor's and Master's degrees in Mathematics from Lanzhou University in June 2013 and June 2016 respectively. Additionally, he achieved a Ph.D. in Mathematics from Xi'an Jiaotong University in June 2020.


Qi's research focuses on numerical solutions of partial differential equations and their applications in scientific and engineering computations. His current primary research area involves efficient numerical algorithms for phase-field models (diffusion interface models) and two-phase flow problems. He has published over 10 papers in journals such as Computer Physics Communications, Journal of Computational and Applied Mathematics, Advances in Computational Mathematics, Applied Mathematics Letters, and Journal of Scientific Computing.


Social position

Since May 2022, reviewer for Mathematical Reviews

Research

1. Numerical analysis and scientific computing;

2. Efficient numerical algorithms phase field model (diffusion interface model) and two-phase flow problem;

3. Structure preserving algorithm for nonlinear dispersion equation;

4. Finite element method, spectral method, and structure preserving method.


Open Course




秋季学期春季学期
2023-2024Graduate: Numerical analysis
2022-2023Graduate: Numerical analysis Undergraduate: Linear AlgebraGraduate: Finite element method  Undergraduate: Numerical method
2021-2022Graduate: Numerical analysisGraduate: Finite element method  Undergraduate: Numerical analysis
2020-2021Graduate: Numerical analysis(TA)Graduate: Finite element method  Undergraduate: Numerical method



Research project

Thesis

 Google Scholar ResearchGate

 Publications
Last Updated: July 5, 2025

First Author/Corresponding Author

  1. Qi Li, Ning Cui, Yanqing He, Yingying Xie, Xiaoli Lu.
    Global constraints preserving schemes for the phase-field elastic bending energy model of lipid vesicles.
    Submitted, 2025
  2. Yanqing He, Qi Li, Xiaofeng Yang.
    Global constraints preserving Lagrange multiplier approach for the incompressible flow-coupled phase-field vesicle membrane models.
    Submitted, 2025
  3. Mengchun Yuan, Qi Li.
    Efficient numerical schemes for the flow-coupled binary phase-field surfactant system based on supplementary variable method.
    Submitted, 2025
  4. Mengchun Yuan, Qi Li.
    Structure-preserving numerical methods for phase field surfactant models based on the supplemental variable method (SVM).
    Submitted, 2025
  5. Jingjing Song, Yanqing He, Qi Li.
    Global constraints preserving Lagrange multiplier approach for the phase-field vesicle membrane model.
    Submitted, 2025
  6. 陈荟奕, 罗锦仪, 李琦, 任晶磊, 杨奕.
    脂质囊泡流动耦合模型的无条件能量稳定解耦算法.
    工程数学学报, Accepted, 2024
  7. Mengchun Yuan, Qi Li, Liquan Mei.
    Efficient numerical schemes for the conserved Allen-Cahn phase-field surfactant system based on high order supplementary variable method.
    Communications in Nonlinear Science and Numerical Simulation, 151:109094, 2025
  8. 李琦, 陈荟奕, 李玉超.
    流动耦合脂质囊泡模型的基于校正技术的线性能量稳定格式.
    浙江大学学报（理学版）, 52(2):238–251, 2025
  9. Qi Li, Supei Zheng, Liquan Mei.
    Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn type block copolymer (BCP) model.
    Numerical Algorithms, 92(2):1233–1259, 2023
  10. Qi Li, Ning Cui, Supei Zheng, Liquan Mei.
    A new Allen-Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation.
    Applied Mathematics Letters, 132:108211, 2022
  11. Ning Cui, Pei Wang, Qi Li.
    A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential.
    Computational and Applied Mathematics, 41(2):58, 2022
  12. Qi Li, Liquan Mei.
    Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes.
    Journal of Scientific Computing, 88(3):60, 2021
  13. Qi Li, Xiaofeng Yang, Liquan Mei.
    Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential.
    Communications in Mathematical Sciences, 19(2):355-381, 2021
  14. Qi Li, Liquan Mei, Yibao Li.
    Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction.
    Journal of Computational and Applied Mathematics, 389:113335, 2021
  15. Qi Li, Liquan Mei.
    Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures.
    Computer Physics Communications, 260:107290, 2021
  16. Qi Li, Xi Li, Xiaofeng Yang, Liquan Mei.
    Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model.
    Journal of Computational and Applied Mathematics, 383:113122, 2021
  17. Qi Li, Liquan Mei, Xiaofeng Yang, Yibao Li.
    Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation.
    Advances in Computational Mathematics, 45(3):1551-1580, 2019
  18. Qi Li, Liquan Mei, Bo You.
    A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model.
    Applied Numerical Mathematics, 134:46-65, 2018
  19. Qi Li, Liquan Mei.
    Local momentum-preserving algorithms for the GRLW equation.
    Applied Mathematics and Computation, 330:77-92, 2018

Others

  1. Yingying Xie, Qi Li, Liquan Mei, Weilong Wang.
    A variable-step, structure-preserving and linear fully discrete scheme for the two-mode phase-field crystal model with face-centered-cubic ordering.
    Communications in Nonlinear Science and Numerical Simulation, 146:108766, 2025
  2. Yingying Xie, Qi Li, Liquan Mei.
    An unconditionally energy stable method for the anisotropic phase-field crystal model in two dimension.
    Journal of Scientific Computing, 100:12, 2024
  3. Yingying Xie, Qi Li, Liquan Mei.
    A new Lagrange multiplier method for the mass-conserved Allen-Cahn type square phase-field crystal model.
    Applied Mathematics Letters, 141:108612, 2023
  4. Shuaichao Pei, Yanren Hou, Qi Li.
    A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation.
    Computers & Mathematics with Applications, 103:104–126, 2021
  5. Ying Wang, Qi Li, Liquan Mei.
    A linear, symmetric and energy-conservative scheme for the space-fractional Klein–Gordon–Schrödinger equations.
    Applied Mathematics Letters, 95:104-113, 2019
  6. Ying Wang, Liquan Mei, Qi Li, Linlin Bu.
    Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation.
    Applied Numerical Mathematics, 136:257-278, 2019

Technological Achievements

Honor Reward

Work experience

2022/12—Present, Associate professor, School of Science, Chang'an University, Xi'an, 710064, Shaanxi, China.

2020/08—2022/12, Lecture, School of Science, Chang'an University, Xi'an, 710064, Shaanxi, China.