Shenggao Zhou

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 34

Top Topics

Numerical Methods

Partial Differential Equations

Structure Preserving

Top Venues

J. Comput. Phys.

SIAM J. Appl. Math.

J. Comput. Appl. Math.

Publications

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) (2024)
Jie Ding, Xiang Ji, Shenggao Zhou
Entropy Increasing Numerical Methods for Prediction of Reversible and Irreversible Heating in Supercapacitors. CoRR (2024)
Tian Qiao, Zhonghua Qiao, Shuyu Sun, Shenggao Zhou
An unconditionally energy stable linear scheme for Poisson-Nernst-Planck equations. J. Comput. Appl. Math. 443 (2024)
Jie Ding, Shenggao Zhou
Second-order, positive, and unconditional energy dissipative scheme for modified Poisson-Nernst-Planck equations. J. Comput. Phys. 510 (2024)
Jie Ding, Cheng Wang, Shenggao Zhou
A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis. CoRR (2024)
Wei Dou, Minhong Chen, Shenggao Zhou
Fast iterative method for local steric Poisson-Boltzmann theories in biomolecular solvation. Comput. Phys. Commun. 291 (2023)
Jie Ding, Shenggao Zhou
Second-order, Positive, and Unconditional Energy Dissipative Scheme for Modified Poisson-Nernst-Planck Equations. CoRR (2023)
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
Local Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes. CoRR (2023)
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
A Maxwell-Ampère Nernst-Planck Framework for Modeling Charge Dynamics. SIAM J. Appl. Math. 83 (2) (2023)
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) (2023)
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 (2023)
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. J. Comput. Phys. 475 (2023)
Lijie Ji, Zhenli Xu, Shenggao Zhou
Asymptotic Derivation of Equivalent Circuit Model for the Stack-Electrode Supercapacitors. CoRR (2022)
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
Structure-preserving numerical method for Ampere-Nernst-Planck model. CoRR (2022)
Jie Ding, Cheng Wang, Shenggao Zhou
Convergence Analysis of Structure-Preserving Numerical Methods Based on Slotboom Transformation for the Poisson-Nernst-Planck Equations. CoRR (2022)
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 (2022)
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 (2022)
Minhong Chen, Wei Dou, Shenggao Zhou
Fast Newton Iterative Method for Local Steric Poisson-Boltzmann Theories in Biomolecular Solvation. CoRR (2021)
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) (2021)
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 (2021)
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) (2021)
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) (2021)
Jie Ding, Zhongming Wang, Shenggao Zhou
Structure-Preserving and Efficient Numerical Methods for Ion Transport. CoRR (2020)
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 (2020)
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 (2020)
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 (2020)
Jie Ding, Zhongming Wang, Shenggao Zhou
Structure-preserving and efficient numerical methods for ion transport. J. Comput. Phys. 418 (2020)
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 (2020)
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 (2019)
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)
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 (2018)
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) (2018)
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 (2018)
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) (2016)
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) (2015)
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) (2015)
Li-Tien Cheng, Bo Li, Michael White, Shenggao Zhou
Motion of a Cylindrical Dielectric Boundary. SIAM J. Appl. Math. 73 (1) (2013)
Shenggao Zhou, Xiaoliang Cheng
A linearly semi-implicit compact scheme for the Burgers-Huxley equation. Int. J. Comput. Math. 88 (4) (2011)
Shenggao Zhou, Xiaoliang Cheng
Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains. Math. Comput. Simul. 80 (12) (2010)