Paper


  1. Mengchun Yuan, Qi Li*, Xiaofeng Yang. Efficient numerical schemes for the flow-coupled binary phase-field surfactant system based on supplementary variable method. Submitted, 2026.

  2. 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.

  3. Linlin Bu, Qi Li*, Liquan Mei, Ying Wang. A new Lagrange multiplier approach for the fractional-in-space modified phase field crystal equation. Submitted, 2025.

  4. Jingjing Song, Yanqing He, Qi Li*. Efficient energy-stable numerical methods for phase-field vesicle membrane models with strict volume and surface area constraints. Mathematics and Computers in Simulation, 242:36–53, 2026.

  5. Mengchun Yuan, Qi Li*. Structure-preserving numerical methods for phase-field surfactant models based on the supplemental variable method (SVM). Applied Numerical Mathematics, 220:123-143, 2026.

  6. 李琦, 刘俊杰, 赵安旭, 李玉超*. 三元Cahn-Hilliard相场模型的无条件能量稳定Galerkin有限元格式. 浙江大学学报(理学版), Accepted, 2026.

  7. 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.

  8. Yanqing He, Qi Li*, Xiaofeng Yang. Global constraints preserving Lagrange multiplier approach for the incompressible flow-coupled phase-field vesicle membrane models. Computer Physics Communications, 316:109773, 2025.

  9. 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.

  10. 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.

  11. 李琦, 陈荟奕, 李玉超*. 基于校正技术的流动耦合脂质囊泡模型的线性能量稳定格式. 浙江大学学报(理学版), 52(2):238-251, 2025.

  12. 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.

  13. 徐霞, 李彬彬, 李琦*, 郑素佩. 任意阶保号熵稳定格式. 高等学校计算数学学报, 46(01):65-82, 2024.

  14. 郑素佩, 翟梦情*, 李琦, 建芒芒. 二维磁流体方程的高分辨率旋转通量格式. 浙江大学学报(理学版), 51(1):29-40, 2024.

  15. 翟梦情, 李琦*, 郑素佩. 求解一维理想磁流体方程的移动网格熵稳定格式. 计算力学学报, 40(2):229-236, 2023.

  16. Yingying Xie, Qi Li, Liquan Mei*. A new Lagrange multiplier method for the mass-conserved Allen\textendash Cahn type square phase-field crystal model. Applied Mathematics Letters, 141:108612, 2023.

  17. 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.

  18. 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.

  19. 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.

  20. 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.

  21. 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, 88:60, 2021.

  22. 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.

  23. 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.

  24. 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.

  25. 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.

  26. 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.

  27. 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.

  28. 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.

  29. 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.

  30. Qi Li, Liquan Mei*. Local momentum-preserving algorithms for the GRLW equation. Applied Mathematics and Computation, 330:77-92, 2018.