Zhengru Zhang

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 20

Top Topics

Numerical Scheme

Finite Difference

Top Venues

J. Comput. Appl. Math.

J. Comput. Phys.

Comput. Math. Appl.

Publications

Lixiu Dong, Dongdong He, Yuzhe Qin, Zhengru Zhang
A positivity-preserving, linear, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck (PNP) system. J. Comput. Appl. Math. 444 (2024)
Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. CoRR (2024)
Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. Math. Comput. 93 (349) (2023)
Xiangjun Meng, Zhengru Zhang
An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model. Comput. Appl. Math. 42 (3) (2023)
Xiangjun Meng, Xuelian Bao, Zhengru Zhang
Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions. J. Comput. Appl. Math. 428 (2023)
Murad Ali Shah, Kejia Pan, Rui Chen, Zhengru Zhang, Dongdong He
A decoupled finite element scheme for simulating the dynamics of red blood cells in an L-shaped cavity. Comput. Math. Appl. 140 (2023)
Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. CoRR (2023)
Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang
Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. J. Comput. Appl. Math. 415 (2022)
Zeyu Xia, Cheng Wang, Liwei Xu, Zhengru Zhang
High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow. J. Comput. Appl. Math. 401 (2022)
Xiangjun Meng, Xuelian Bao, Zhengru Zhang
Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions. CoRR (2022)
Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang
A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters. J. Comput. Phys. 442 (2021)
Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels. J. Sci. Comput. 87 (3) (2021)
Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang
Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model. SIAM J. Sci. Comput. 43 (2) (2021)
Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang
A positivity-preserving, energy stable scheme for a Ternary Cahn-Hilliard system with the singular interfacial parameters. CoRR (2021)
Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels. CoRR (2021)
Yuzhe Qin, Cheng Wang, Zhengru Zhang
A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. CoRR (2021)
Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. CoRR (2020)
Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. CoRR (2020)
Zhilin Li, Xiaohong Chen, Zhengru Zhang
On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient. Multiscale Model. Simul. 16 (4) (2018)
Lixiu Dong, Wenqiang Feng, Cheng Wang, Steven M. Wise, Zhengru Zhang
Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation. Comput. Math. Appl. 75 (6) (2018)
Zhonghua Qiao, Zhi-Zhong Sun, Zhengru Zhang
Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. Math. Comput. 84 (292) (2015)
Shuting Gu, Hui Zhang, Zhengru Zhang
An energy-stable finite-difference scheme for the binary fluid-surfactant system. J. Comput. Phys. 270 (2014)
Zhengru Zhang, Yuan Ma, Zhonghua Qiao
An adaptive time-stepping strategy for solving the phase field crystal model. J. Comput. Phys. 249 (2013)
Cheng Yang, Dazhi Cao, Zhihua Zhao, Zhengru Zhang, Gexue Ren
A Direct Eigenanalysis of Multibody System in Equilibrium. J. Appl. Math. 2012 (2012)
Zhonghua Qiao, Zhengru Zhang, Tao Tang
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models. SIAM J. Sci. Comput. 33 (3) (2011)