Shenggao Zhou

Orcid: 0000-0001-9097-8392

According to our database1, Shenggao Zhou authored at least 31 papers between 2010 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
An unconditionally energy stable linear scheme for Poisson-Nernst-Planck equations.
J. Comput. Appl. Math., June, 2024

2023
A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis.
J. Sci. Comput., October, 2023

Fast iterative method for local steric Poisson-Boltzmann theories in biomolecular solvation.
Comput. Phys. Commun., October, 2023

Energy dissipative and positivity preserving schemes for large-convection ion transport with steric and solvation effects.
J. Comput. Phys., September, 2023

A Maxwell-Ampère Nernst-Planck Framework for Modeling Charge Dynamics.
SIAM J. Appl. Math., April, 2023

Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model.
J. Comput. Phys., February, 2023

Local Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes.
CoRR, 2023

Second-order, Positive, and Unconditional Energy Dissipative Scheme for Modified Poisson-Nernst-Planck Equations.
CoRR, 2023

2022
An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis.
J. Comput. Appl. Math., 2022

Asymptotic Derivation of Equivalent Circuit Model for the Stack-Electrode Supercapacitors.
CoRR, 2022

A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation.
CoRR, 2022

Structure-preserving numerical method for Ampere-Nernst-Planck model.
CoRR, 2022

Convergence Analysis of Structure-Preserving Numerical Methods Based on Slotboom Transformation for the Poisson-Nernst-Planck Equations.
CoRR, 2022

2021
Structure-Preserving Numerical Methods for Nonlinear Fokker-Planck Equations with Nonlocal Interactions by an Energetic Variational Approach.
SIAM J. Sci. Comput., 2021

A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system.
Math. Comput., 2021

The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson-Boltzmann Theory for Molecular Solvation.
J. Nonlinear Sci., 2021

A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions.
J. Comput. Phys., 2021

Fast Newton Iterative Method for Local Steric Poisson-Boltzmann Theories in Biomolecular Solvation.
CoRR, 2021

2020
Structure-preserving and efficient numerical methods for ion transport.
J. Comput. Phys., 2020

Hysteresis and Linear Stability Analysis on Multiple Steady-State Solutions to the Poisson-Nernst-Planck equations with Steric Interactions.
CoRR, 2020

2019
A conservative, free energy dissipating, and positivity preserving finite difference scheme for multi-dimensional nonlocal Fokker-Planck equation.
J. Comput. Phys., 2019

Positivity preserving finite difference methods for Poisson-Nernst-Planck equations with steric interactions: Application to slit-shaped nanopore conductance.
J. Comput. Phys., 2019

2018
Asymptotic Analysis on Dielectric Boundary Effects of Modified Poisson-Nernst-Planck Equations.
SIAM J. Appl. Math., 2018

A second order numerical scheme for the annealing of metal-intermetallic laminate composite: A ternary reaction system.
J. Comput. Phys., 2018

Numerical methods for solvent Stokes flow and solute-solvent interfacial dynamics of charged molecules.
J. Comput. Phys., 2018

2016
Numerical Treatment of Stokes Solvent Flow and Solute-Solvent Interfacial Dynamics for Nonpolar Molecules.
J. Sci. Comput., 2016

2015
Stability of a Cylindrical Solute-Solvent Interface: Effect of Geometry, Electrostatics, and Hydrodynamics.
SIAM J. Appl. Math., 2015

LS-VISM: A software package for analysis of biomolecular solvation.
J. Comput. Chem., 2015

2013
Motion of a Cylindrical Dielectric Boundary.
SIAM J. Appl. Math., 2013

2011
A linearly semi-implicit compact scheme for the Burgers-Huxley equation.
Int. J. Comput. Math., 2011

2010
Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains.
Math. Comput. Simul., 2010


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