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2020 – today
- 2024
[j18]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: 115784 (2024)- [j17]Yunzhuo Guo, Qian Yin, Zhengru Zhang:
A Structure-preserving Implicit Exponential Time Differencing Scheme for Maxwell-Ampère Nernst-Planck Model. J. Sci. Comput. 101(2): 51 (2024) - [i8]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 abs/2407.13453 (2024) - 2023
- [j16]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) - [j15]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: 169-182 (2023) - [j14]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: 115145 (2023) - [j13]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): 2185-2214 (2023) - [i7]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 abs/2303.11609 (2023) - 2022
- [j12]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: 113766 (2022) - [j11]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: 114474 (2022) - [i6]Xiangjun Meng, Xuelian Bao, Zhengru Zhang:
Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions. CoRR abs/2206.07325 (2022) - 2021
- [j10]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: 110451 (2021) - [j9]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): 78 (2021) - [j8]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): A1248-A1272 (2021) - [i5]Yuzhe Qin, Cheng Wang, Zhengru Zhang:
A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. CoRR abs/2102.08105 (2021) - [i4]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 abs/2104.09042 (2021) - [i3]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 abs/2104.14053 (2021) - 2020
- [i2]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 abs/2004.03371 (2020) - [i1]Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang:
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. CoRR abs/2012.11802 (2020)
2010 – 2019
- 2018
- [j7]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): 1912-1928 (2018) - [j6]Zhilin Li, Xiaohong Chen, Zhengru Zhang:
On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient. Multiscale Model. Simul. 16(4): 1623-1647 (2018) - 2015
- [j5]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): 653-674 (2015) - 2014
- [j4]Shuting Gu, Hui Zhang, Zhengru Zhang:
An energy-stable finite-difference scheme for the binary fluid-surfactant system. J. Comput. Phys. 270: 416-431 (2014) - 2013
- [j3]Zhengru Zhang, Yuan Ma, Zhonghua Qiao:
An adaptive time-stepping strategy for solving the phase field crystal model. J. Comput. Phys. 249: 204-215 (2013) - 2012
- [j2]Cheng Yang, Dazhi Cao, Zhihua Zhao, Zhengru Zhang, Gexue Ren:
A Direct Eigenanalysis of Multibody System in Equilibrium. J. Appl. Math. 2012: 638546:1-638546:12 (2012) - 2011
- [j1]Zhonghua Qiao, Zhengru Zhang, Tao Tang:
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models. SIAM J. Sci. Comput. 33(3): 1395-1414 (2011)
Coauthor Index
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