Shan Zhao
Orcid: 0000-0002-3023-2107Affiliations:
- University of Alabama, Tuscaloosa, AL, USA
According to our database1,
Shan Zhao
authored at least 45 papers
between 2003 and 2024.
Collaborative distances:
Collaborative distances:
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Bibliography
2024
Calculation of electrostatic free energy for the nonlinear Poisson-Boltzmann model based on the dimensionless potential.
J. Comput. Phys., January, 2024
J. Comput. Chem., 2024
2023
A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains.
J. Sci. Comput., May, 2023
A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems.
J. Comput. Phys., March, 2023
Convergence of a diffuse interface Poisson-Boltzmann (PB) model to the sharp interface PB model: A unified regularization formulation.
Appl. Math. Comput., 2023
2022
A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions.
J. Comput. Phys., 2022
A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains.
J. Comput. Phys., 2022
Benchmarking electrostatic free energy of the nonlinear Poisson-Boltzmann model for the Kirkwood sphere.
Commun. Inf. Syst., 2022
2021
FFT-Based High Order Central Difference Schemes for Poisson's Equation with Staggered Boundaries.
J. Sci. Comput., 2021
Regularization methods for the Poisson-Boltzmann equation: Comparison and accuracy recovery.
J. Comput. Phys., 2021
Alternating Direction Implicit (ADI) Methods for Solving Two-Dimensional Parabolic Interface Problems with Variable Coefficients.
Comput., 2021
Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface.
Commun. Inf. Syst., 2021
2020
A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration.
J. Comput. Phys., 2020
FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions.
J. Comput. Phys., 2020
Capturing the Effects of Explicit Waters in Implicit Electrostatics Modeling: Qualitative Justification of Gaussian-Based Dielectric Models in DelPhi.
J. Chem. Inf. Model., 2020
Alternating direction ghost-fluid methods for solving the heat equation with interfaces.
Comput. Math. Appl., 2020
A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces.
Appl. Math. Lett., 2020
Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization.
Appl. Math. Comput., 2020
2019
An augmented matched interface and boundary (MIB) method for solving elliptic interface problem.
J. Comput. Appl. Math., 2019
Reproducing ensemble averaged electrostatics with Super-Gaussian-based smooth dielectric function: application to electrostatic component of binding energy of protein complexes.
Commun. Inf. Syst., 2019
2018
Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions.
J. Comput. Appl. Math., 2018
On developing stable finite element methods for pseudo-time simulation of biomolecular electrostatics.
J. Comput. Appl. Math., 2018
A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems.
Comput. Math. Appl., 2018
2017
A Weak Galerkin Method with an Over-Relaxed Stabilization for Low Regularity Elliptic Problems.
J. Sci. Comput., 2017
A two-component Matched Interface and Boundary (MIB) regularization for charge singularity in implicit solvation.
J. Comput. Phys., 2017
Appl. Math. Comput., 2017
2016
J. Comput. Phys., 2016
A second order dispersive FDTD algorithm for transverse electric Maxwell's equations with complex interfaces.
Comput. Math. Appl., 2016
Comput. Math. Appl., 2016
2015
A Matched Alternating Direction Implicit (ADI) Method for Solving the Heat Equation with Interfaces.
J. Sci. Comput., 2015
J. Comput. Appl. Math., 2015
Appl. Math. Lett., 2015
2014
Operator splitting ADI schemes for pseudo-time coupled nonlinear solvation simulations.
J. Comput. Phys., 2014
Time-domain matched interface and boundary (MIB) modeling of Debye dispersive media with curved interfaces.
J. Comput. Phys., 2014
Appl. Math. Comput., 2014
2013
J. Comput. Phys., 2013
2012
2010
High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces.
J. Comput. Phys., 2010
2008
2007
On the validity of "A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximation function (LDAF) method is inferior to high order finite differences".
J. Comput. Phys., 2007
2006
High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources.
J. Comput. Phys., 2006
2005
2003
Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation.
SIAM J. Sci. Comput., 2003