An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models. - Zhonghua Qiao; Zhengru Zhang; Tao Tang 003 (SIAM J. Sci. Comput., 2011)

A Direct Eigenanalysis of Multibody System in Equilibrium. - Cheng Yang; Dazhi Cao; Zhihua Zhao; Zhengru Zhang; Gexue Ren (J. Appl. Math., 2012)

An adaptive time-stepping strategy for solving the phase field crystal model. - Zhengru Zhang; Yuan Ma; Zhonghua Qiao (J. Comput. Phys., 2013)

An energy-stable finite-difference scheme for the binary fluid-surfactant system. - Shuting Gu; Hui Zhang 021; Zhengru Zhang (J. Comput. Phys., 2014)

Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. - Zhonghua Qiao; Zhi-Zhong Sun; Zhengru Zhang (Math. Comput., 2015)

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)

On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient. - Zhilin Li 002; Xiao-hong Chen 001; Zhengru Zhang (Multiscale Model. Simul., 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 and convergent numerical scheme for the binary fluid-surfactant system. - Yuzhe Qin; Cheng Wang 015; Zhengru Zhang (CoRR, 2021)

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)

An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels. - Maoqin Yuan; Wenbin Chen 006; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Sci. Comput., 2021)

Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model. - Juan Zhang; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (SIAM J. Sci. Comput., 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)

High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow. - Zeyu Xia 001; Cheng Wang 015; Liwei Xu; Zhengru Zhang (J. Comput. Appl. Math., 2022)

Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. - Yunzhuo Guo; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (Math. Comput., 2023)

An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model. - Xiangjun Meng; Zhengru Zhang (Comput. Appl. Math., 2023)

A decoupled finite element scheme for simulating the dynamics of red blood cells in an L-shaped cavity. - Murad Ali Shah; Kejia Pan; Rui Chen 004; Zhengru Zhang; Dongdong He (Comput. Math. Appl., 2023)

Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions. - Xiangjun Meng; Xuelian Bao; Zhengru Zhang (J. Comput. Appl. Math., 2023)

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 Structure-preserving Implicit Exponential Time Differencing Scheme for Maxwell-Ampère Nernst-Planck Model. - Yunzhuo Guo; Qian Yin; Zhengru Zhang (J. Sci. Comput., 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)

A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. - Yunzhuo Guo; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Appl. Math., 2026)