Shan Zhao

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 31

Top Topics

Finite Element Methods

Regularization Method

Boundary Conditions

Top Venues

J. Comput. Phys.

J. Comput. Appl. Math.

Comput. Math. Appl.

Appl. Math. Comput.

Publications

Sheik Ahmed Ullah, Xin Yang, Benjamin Jones, Shan Zhao, Weihua Geng, Guo-Wei Wei
Bridging Eulerian and Lagrangian Poisson-Boltzmann solvers by ESES. J. Comput. Chem. 45 (6) (2024)
Shan Zhao, Idowu E. Ijaodoro, Mark McGowan, Emil Alexov
Calculation of electrostatic free energy for the nonlinear Poisson-Boltzmann model based on the dimensionless potential. J. Comput. Phys. 497 (2024)
Yuanzhen Shao, Mark McGowan, Siwen Wang, Emil Alexov, Shan Zhao
Convergence of a diffuse interface Poisson-Boltzmann (PB) model to the sharp interface PB model: A unified regularization formulation. Appl. Math. Comput. 436 (2023)
Yiming Ren, Shan Zhao
A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems. J. Comput. Phys. 477 (2023)
Chuan Li, Yiming Ren, Guangqing Long, Eric Boerman, Shan Zhao
A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains. J. Sci. Comput. 95 (2) (2023)
Sylvia Amihere, Weihua Geng, Shan Zhao
Benchmarking electrostatic free energy of the nonlinear Poisson-Boltzmann model for the Kirkwood sphere. Commun. Inf. Syst. 22 (3) (2022)
Siwen Wang, Yuanzhen Shao, Emil Alexov, Shan Zhao
A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions. J. Comput. Phys. 464 (2022)
Yiming Ren, Hongsong Feng, Shan Zhao
A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains. J. Comput. Phys. 448 (2022)
Benjamin Jones, Sheik Ahmed Ullah, Siwen Wang, Shan Zhao
Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface. Commun. Inf. Syst. 21 (1) (2021)
Chuan Li, Guangqing Long, Yiquan Li, Shan Zhao
Alternating Direction Implicit (ADI) Methods for Solving Two-Dimensional Parabolic Interface Problems with Variable Coefficients. Comput. 9 (7) (2021)
Hongsong Feng, Guangqing Long, Shan Zhao
FFT-Based High Order Central Difference Schemes for Poisson's Equation with Staggered Boundaries. J. Sci. Comput. 86 (1) (2021)
Arum Lee, Weihua Geng, Shan Zhao
Regularization methods for the Poisson-Boltzmann equation: Comparison and accuracy recovery. J. Comput. Phys. 426 (2021)
Benjamin Jones, Sheik Ahmed Ullah, Siwen Wang, Shan Zhao
Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface. CoRR (2020)
Hongsong Feng, Shan Zhao
FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions. J. Comput. Phys. 410 (2020)
Chuan Li, Zhihan Wei, Guangqing Long, Cameron Campbell, Stacy Ashlyn, Shan Zhao
Alternating direction ghost-fluid methods for solving the heat equation with interfaces. Comput. Math. Appl. 80 (5) (2020)
Sheik Ahmed Ullah, Shan Zhao
Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization. Appl. Math. Comput. 380 (2020)
Hongsong Feng, Shan Zhao
A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration. J. Comput. Phys. 419 (2020)
Arghya Chakravorty, Shailesh Kumar Panday, Swagata Pahari, Shan Zhao, Emil Alexov
Capturing the Effects of Explicit Waters in Implicit Electrostatics Modeling: Qualitative Justification of Gaussian-Based Dielectric Models in DelPhi. J. Chem. Inf. Model. 60 (4) (2020)
Siwen Wang, Arum Lee, Emil Alexov, Shan Zhao
A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces. Appl. Math. Lett. 102 (2020)
Siwen Wang, Arum Lee, Emil Alexov, Shan Zhao
A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces. CoRR (2019)
Hongsong Feng, Guangqing Long, Shan Zhao
An augmented matched interface and boundary (MIB) method for solving elliptic interface problem. J. Comput. Appl. Math. 361 (2019)
Shailesh Kumar Panday, Mihiri H. B. Shashikala, Arghya Chakravorty, Shan Zhao, Emil Alexov
Reproducing ensemble averaged electrostatics with Super-Gaussian-based smooth dielectric function: application to electrostatic component of binding energy of protein complexes. Commun. Inf. Syst. 19 (4) (2019)
Lunji Song, Shan Zhao
Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions. J. Comput. Appl. Math. 330 (2018)
Weishan Deng, Jin Xu, Shan Zhao
On developing stable finite element methods for pseudo-time simulation of biomolecular electrostatics. J. Comput. Appl. Math. 330 (2018)
Zhihan Wei, Chuan Li, Shan Zhao
A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems. Comput. Math. Appl. 75 (6) (2018)
Weihua Geng, Shan Zhao
A two-component Matched Interface and Boundary (MIB) regularization for charge singularity in implicit solvation. J. Comput. Phys. 351 (2017)
Lunji Song, Kaifang Liu, Shan Zhao
A Weak Galerkin Method with an Over-Relaxed Stabilization for Low Regularity Elliptic Problems. J. Sci. Comput. 71 (1) (2017)
Chuan Li, Shan Zhao
A matched Peaceman-Rachford ADI method for solving parabolic interface problems. Appl. Math. Comput. 299 (2017)
Can Li, Shan Zhao
Efficient numerical schemes for fractional water wave models. Comput. Math. Appl. 71 (1) (2016)
Duc Duy Nguyen, Shan Zhao
A second order dispersive FDTD algorithm for transverse electric Maxwell's equations with complex interfaces. Comput. Math. Appl. 71 (4) (2016)
Lin Mu, Junping Wang, Xiu Ye, Shan Zhao
A new weak Galerkin finite element method for elliptic interface problems. J. Comput. Phys. 325 (2016)
Weishan Deng, Xiaohe Zhufu, Jin Xu, Shan Zhao
A new discontinuous Galerkin method for the nonlinear Poisson-Boltzmann equation. Appl. Math. Lett. 49 (2015)
Shan Zhao
A Matched Alternating Direction Implicit (ADI) Method for Solving the Heat Equation with Interfaces. J. Sci. Comput. 63 (1) (2015)
Duc Duy Nguyen, Shan Zhao
A new high order dispersive FDTD method for Drude material with complex interfaces. J. Comput. Appl. Math. 285 (2015)
Duc Duy Nguyen, Shan Zhao
High order FDTD methods for transverse magnetic modes with dispersive interfaces. Appl. Math. Comput. 226 (2014)
Shan Zhao
Operator splitting ADI schemes for pseudo-time coupled nonlinear solvation simulations. J. Comput. Phys. 257 (2014)
Duc Duy Nguyen, Shan Zhao
Time-domain matched interface and boundary (MIB) modeling of Debye dispersive media with curved interfaces. J. Comput. Phys. 278 (2014)
Lin Mu, Junping Wang, Guowei Wei, Xiu Ye, Shan Zhao
Weak Galerkin methods for second order elliptic interface problems. J. Comput. Phys. 250 (2013)
Weihong Guo, Lalita Udpa, Yang Wang, Guowei Wei, Shan Zhao
Mathematical Methods for Images and Surfaces 2011. Int. J. Biomed. Imaging 2012 (2012)
Guowei Wei, Lalita Udpa, Yang Wang, Shan Zhao
Mathematical Methods for Images and Surfaces. Int. J. Biomed. Imaging 2010 (2010)
Shan Zhao
High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces. J. Comput. Phys. 229 (9) (2010)
Peter W. Bates, Guo-Wei Wei, Shan Zhao
Minimal molecular surfaces and their applications. J. Comput. Chem. 29 (3) (2008)
Guo-Wei Wei, Shan Zhao
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. 226 (2) (2007)
Yongcheng Zhou, Shan Zhao, Michael Feig, Guo-Wei Wei
High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources. J. Comput. Phys. 213 (1) (2006)
Shan Zhao, Guo-Wei Wei
Option valuation by using discrete singular convolution. Appl. Math. Comput. 167 (1) (2005)
Shan Zhao, Guo-Wei Wei
Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation. SIAM J. Sci. Comput. 25 (1) (2003)
Shan Zhao, Guo-Wei Wei
Jump process for the trend estimation of time series. Comput. Stat. Data Anal. 42 (1-2) (2003)