Publications
Yanqing He, Qi Li*, Xiaofeng Yang. Global constraints preserving lagrange multiplier approach for the incompressible flow-coupled phase-field vesicle membrane models. Submitted, 2025.
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.
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. Submitted, 2025.
Mengchun Yuan, Qi Li*. Structure-Preserving Numerical Methods for Phase Field Surfactant Models Based on the Supplemental Variable Method (SVM). Submitted, 2024.
Jingjing Song, Yanqing He, Qi Li*. Global constraints preserving Lagrange multiplier approach for the phase-field vesicle membrane model. Submitted, 2024.
Linlin Bu, Qi Li*, Liquan Mei, Ying Wang. A new Lagrange multiplier approach for the fractional-in-space modified phase field crystal equation. Submitted, 2024.
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.
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.
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.
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.
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.
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),, 2024.
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),, 2023.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Qi Li, Liquan Mei*. Local momentum-preserving algorithms for the GRLW equation. Applied Mathematics and Computation, 330, 77-92, 2018.