Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation. - Lixiu Dong; Wenqiang Feng; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (Comput. Math. Appl., 2018)

A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. - Lixiu Dong; Cheng Wang 015; Hui Zhang; Zhengru Zhang (CoRR, 2020)

A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters. - Lixiu Dong; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Phys., 2021)

Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. - Lixiu Dong; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Appl. Math., 2022)

A positivity-preserving, linear, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck (PNP) system. - Lixiu Dong; Dongdong He; Yuzhe Qin; Zhengru Zhang (J. Comput. Appl. Math., 2024)

A positivity-preserving, second-order energy stable and convergent numerical scheme for a ternary system of macromolecular microsphere composite hydrogels. - Lixiu Dong; Cheng Wang; Zhengru Zhang (J. Comput. Appl. Math., 2025)