The expanded upwind-mixed multi-step method for the miscible displacement problem in three dimensions. - Huailing Song; Yirang Yuan (Appl. Math. Comput., 2008)

The expanded upwind-mixed method on changing meshes for positive semi-definite problem of two-phase miscible flow. - Huailing Song; Yirang Yuan; Gongjie Liu (Int. J. Comput. Math., 2008)

Convergence analysis of hybrid expanded mixed finite element method for elliptic equations. - Huailing Song; Lijian Jiang; Gaojie Chen (Comput. Math. Appl., 2014)

Energy stable and large time-stepping methods for the Cahn-Hilliard equation. - Huailing Song (Int. J. Comput. Math., 2015)

Energy SSP-IMEX Runge-Kutta methods for the Cahn-Hilliard equation. - Huailing Song (J. Comput. Appl. Math., 2016)

A reduced order method for Allen-Cahn equations. - Huailing Song; Lijian Jiang; Qiuqi Li (J. Comput. Appl. Math., 2016)

Unconditional Energy Stability Analysis of a Second Order Implicit-Explicit Local Discontinuous Galerkin Method for the Cahn-Hilliard Equation. - Huailing Song; Chi-Wang Shu (J. Sci. Comput., 2017)

A mixed volume element with upwind multistep mixed volume element and convergence analysis for numerical simulation of nuclear waste contaminant disposal. - Changfeng Li; Yirang Yuan; Huailing Song (J. Comput. Appl. Math., 2019)

The POD-DEIM reduced-order method for stochastic Allen-Cahn equations with multiplicative noise. - Dongqin Chen; Huailing Song (Comput. Math. Appl., 2020)

An upwind approximation combined with mixed volume element for a positive semi-definite contamination treatment from nuclear waste. - Changfeng Li; Yirang Yuan; Huailing Song (Eng. Comput., 2020)

Mixed finite volume element-upwind mixed volume element of compressible two-phase displacement and its numerical analysis. - Yirang Yuan; Changfeng Li; Huailing Song (J. Comput. Appl. Math., 2020)

The selection of feasible strategies based on consistency measurement of cliques. - Feng Xu 011; Mingjie Cai; Huailing Song; Jianhua Dai (Inf. Sci., 2022)

The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation. - Caixia Nan; Huailing Song (J. Comput. Phys., 2022)

An upwind-block-centered finite difference method for a semiconductor device of heat conduction and its numerical analysis. - Yirang Yuan; Changfeng Li; Huailing Song (J. Comput. Appl. Math., 2023)

An upwind-mixed volume element method on changing meshes for compressible miscible displacement problem. - Yirang Yuan; Changfeng Li; Huailing Song (J. Comput. Appl. Math., 2024)

A model reduction method for parametric dynamical systems defined on complex geometries. - Huailing Song; Yuming Ba; Dongqin Chen; Qiuqi Li (J. Comput. Phys., 2024)

A new high-order maximum-principle-preserving explicit Runge-Kutta method for the nonlocal Allen-Cahn equation. - Caixia Nan; Huailing Song (J. Comput. Appl. Math., 2024)

Improved Uniform Error Bounds on a Lawson-type Exponential Integrator Method for Long-Time Dynamics of the Nonlinear Double Sine-Gordon Equation. - Ling Zhang; Huailing Song; Wenfan Yi (J. Sci. Comput., 2025)