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ORCIDShenggao Zhou
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2020 – today
- 2024
[j25]Tian Qiao, Zhonghua Qiao, Shuyu Sun
, Shenggao Zhou:
An unconditionally energy stable linear scheme for Poisson-Nernst-Planck equations. J. Comput. Appl. Math. 443: 115759 (2024)- [j24]Jie Ding, Shenggao Zhou:
Second-order, positive, and unconditional energy dissipative scheme for modified Poisson-Nernst-Planck equations. J. Comput. Phys. 510: 113094 (2024) - [j23]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
Local Structure-Preserving Relaxation Method for Equilibrium of Charged Systems on Unstructured Meshes. SIAM J. Sci. Comput. 46(4): 2248- (2024) - [i15]Jie Ding, Cheng Wang, Shenggao Zhou:
A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis. CoRR abs/2406.03761 (2024) - [i14]Jie Ding, Xiang Ji, Shenggao Zhou:
Entropy Increasing Numerical Methods for Prediction of Reversible and Irreversible Heating in Supercapacitors. CoRR abs/2407.10050 (2024) - [i13]Bo Li, Qian Yin, Shenggao Zhou:
Finite-Difference Approximations and Local Algorithm for the Poisson and Poisson-Boltzmann Electrostatics. CoRR abs/2409.15796 (2024) - 2023
- [j22]Wei Dou, Minhong Chen, Shenggao Zhou:
Fast iterative method for local steric Poisson-Boltzmann theories in biomolecular solvation. Comput. Phys. Commun. 291: 108808 (2023) - [j21]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. J. Comput. Phys. 475: 111845 (2023) - [j20]Jie Ding, Zhongming Wang, Shenggao Zhou:
Energy dissipative and positivity preserving schemes for large-convection ion transport with steric and solvation effects. J. Comput. Phys. 488: 112206 (2023) - [j19]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis. J. Sci. Comput. 97(1): 23 (2023) - [j18]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
A Maxwell-Ampère Nernst-Planck Framework for Modeling Charge Dynamics. SIAM J. Appl. Math. 83(2): 374-393 (2023) - [i12]Jie Ding, Shenggao Zhou:
Second-order, Positive, and Unconditional Energy Dissipative Scheme for Modified Poisson-Nernst-Planck Equations. CoRR abs/2309.03459 (2023) - [i11]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
Local Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes. CoRR abs/2310.05411 (2023) - 2022
- [j17]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. J. Comput. Appl. Math. 406: 114017 (2022) - [i10]Jie Ding, Cheng Wang, Shenggao Zhou:
Convergence Analysis of Structure-Preserving Numerical Methods Based on Slotboom Transformation for the Poisson-Nernst-Planck Equations. CoRR abs/2202.10931 (2022) - [i9]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
Structure-preserving numerical method for Ampere-Nernst-Planck model. CoRR abs/2204.11743 (2022) - [i8]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation. CoRR abs/2208.06123 (2022) - [i7]Lijie Ji, Zhenli Xu, Shenggao Zhou:
Asymptotic Derivation of Equivalent Circuit Model for the Stack-Electrode Supercapacitors. CoRR abs/2212.02214 (2022) - 2021
- [j16]Yiran Qian, Cheng Wang, Shenggao Zhou:
A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions. J. Comput. Phys. 426: 109908 (2021) - [j15]Bo Li, Zhengfang Zhang, Shenggao Zhou:
The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson-Boltzmann Theory for Molecular Solvation. J. Nonlinear Sci. 31(5): 89 (2021) - [j14]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. Math. Comput. 90(331): 2071-2106 (2021) - [j13]Chenghua Duan, Wenbin Chen, Chun Liu, Xingye Yue, Shenggao Zhou:
Structure-Preserving Numerical Methods for Nonlinear Fokker-Planck Equations with Nonlocal Interactions by an Energetic Variational Approach. SIAM J. Sci. Comput. 43(1): B82-B107 (2021) - [i6]Minhong Chen, Wei Dou, Shenggao Zhou:
Fast Newton Iterative Method for Local Steric Poisson-Boltzmann Theories in Biomolecular Solvation. CoRR abs/2111.00834 (2021) - 2020
- [j12]Jie Ding, Zhongming Wang, Shenggao Zhou:
Structure-preserving and efficient numerical methods for ion transport. J. Comput. Phys. 418: 109597 (2020) - [i5]Jie Ding, Zhongming Wang, Shenggao Zhou:
Structure-Preserving and Efficient Numerical Methods for Ion Transport. CoRR abs/2002.09563 (2020) - [i4]Yiran Qian, Cheng Wang, Shenggao Zhou:
A Positive and Energy Stable Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard Equations with Steric Interactions. CoRR abs/2002.09690 (2020) - [i3]Chenghua Duan, Wenbin Chen, Chun Liu, Xingye Yue, Shenggao Zhou:
Structure-Preserving Numerical Methods for Nonlinear Fokker-Planck Equations with Nonlocal Interactions by an Energetic Variational Approach. CoRR abs/2008.06903 (2020) - [i2]Jie Ding, Hui Sun, Shenggao Zhou:
Hysteresis and Linear Stability Analysis on Multiple Steady-State Solutions to the Poisson-Nernst-Planck equations with Steric Interactions. CoRR abs/2009.08074 (2020) - [i1]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. CoRR abs/2009.08076 (2020)
2010 – 2019
- 2019
- [j11]Yiran Qian, Zhongming Wang, Shenggao Zhou:
A conservative, free energy dissipating, and positivity preserving finite difference scheme for multi-dimensional nonlocal Fokker-Planck equation. J. Comput. Phys. 386: 22-36 (2019) - [j10]Jie Ding, Zhongming Wang, Shenggao Zhou:
Positivity preserving finite difference methods for Poisson-Nernst-Planck equations with steric interactions: Application to slit-shaped nanopore conductance. J. Comput. Phys. 397 (2019) - 2018
- [j9]Hui Sun, Shenggao Zhou, Li-Tien Cheng, Bo Li:
Numerical methods for solvent Stokes flow and solute-solvent interfacial dynamics of charged molecules. J. Comput. Phys. 374: 533-549 (2018) - [j8]Shenggao Zhou, Yu Wang, Xingye Yue, Cheng Wang:
A second order numerical scheme for the annealing of metal-intermetallic laminate composite: A ternary reaction system. J. Comput. Phys. 374: 1044-1060 (2018) - [j7]Lijie Ji, Pei Liu, Zhenli Xu, Shenggao Zhou:
Asymptotic Analysis on Dielectric Boundary Effects of Modified Poisson-Nernst-Planck Equations. SIAM J. Appl. Math. 78(3): 1802-1822 (2018) - 2016
- [j6]Hui Sun, Shenggao Zhou, David K. Moore, Li-Tien Cheng, Bo Li:
Numerical Treatment of Stokes Solvent Flow and Solute-Solvent Interfacial Dynamics for Nonpolar Molecules. J. Sci. Comput. 67(2): 705-723 (2016) - 2015
- [j5]Shenggao Zhou, Li-Tien Cheng, Hui Sun, Jianwei Che, Joachim Dzubiella, Bo Li, James Andrew McCammon:
LS-VISM: A software package for analysis of biomolecular solvation. J. Comput. Chem. 36(14): 1047-1059 (2015) - [j4]Bo Li, Hui Sun, Shenggao Zhou:
Stability of a Cylindrical Solute-Solvent Interface: Effect of Geometry, Electrostatics, and Hydrodynamics. SIAM J. Appl. Math. 75(3): 907-928 (2015) - 2013
- [j3]Li-Tien Cheng, Bo Li, Michael White, Shenggao Zhou:
Motion of a Cylindrical Dielectric Boundary. SIAM J. Appl. Math. 73(1): 594-616 (2013) - 2011
- [j2]Shenggao Zhou, Xiaoliang Cheng:
A linearly semi-implicit compact scheme for the Burgers-Huxley equation. Int. J. Comput. Math. 88(4): 795-804 (2011) - 2010
- [j1]Shenggao Zhou, Xiaoliang Cheng:
Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains. Math. Comput. Simul. 80(12): 2362-2373 (2010)
Coauthor Index
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