317 Publications (Page 2 of 13)
2019
A regularization approach for solving Poisson’s equation with singular charge sources and diffuse interfaces
Applied Mathematics Letters. | Journal Article
 
A super-Gaussian Poisson–Boltzmann model for electrostatic free energy calculation: smooth dielectric distribution for protein cavities and in both water and vacuum states
Journal of Mathematical Biology. | Journal Article
2018
Accurate pKa Computation Using Matched Interface and Boundary (MIB) Method Based Poisson-Boltzmann Solver
Hu, Jingzhen⋅Zhao, Shan and Geng, Weihua
Communications in Computational Physics, vol. 23, pp. 520-539. | Journal Article
 
A relaxed weak Galerkin method for elliptic interface problems with low regularity
Song, Lunji⋅Zhao, Shan and Liu, Kaifang
Applied Numerical Mathematics, vol. 128, pp. 65-80. | Journal Article
 
A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems
Wei, Zhihan⋅Li, Chuan and Zhao, Shan
Computers & Mathematics with Applications, vol. 75, pp. 2173–2192. | Journal Article
 
On developing stable finite element methods for pseudo-time simulation of biomolecular electrostatics
Deng, Weishan⋅Xu, Jin and Zhao, Shan
Journal of Computational and Applied Mathematics, vol. 330, pp. 456-474. | Journal Article
 
Reproducing the Ensemble Average Polar Solvation Energy of a Protein from a Single Structure: Gaussian-Based Smooth Dielectric Function for Macromolecular Modeling
Chakravorty, Arghya⋅Chakravorty, Arghya⋅Jia, Zhe⋅Jia, Zhe⋅Li, Lin⋅Li, Lin⋅Zhao, Shan⋅Zhao, Shan⋅Alexov, Emil and Alexov, Emil
Journal of Chemical Theory and Computation, vol. 14, pp. 1020-1032. | Journal Article
 
Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions
Song, Lunji and Zhao, Shan
Journal of Computational and Applied Mathematics, vol. 330, pp. 356-379. | Journal Article
2017
A matched Peaceman–Rachford ADI method for solving parabolic interface problems
Li, Chuan and Zhao, Shan
Applied Mathematics and Computation, vol. 299, pp. 28–44. | Journal Article
 
A two-component Matched Interface and Boundary (MIB) regularization for charge singularity in implicit solvation
Geng, Weihua and Zhao, Shan
Journal of Computational Physics, vol. 351, pp. 25–39. | Journal Article
 
A Weak Galerkin Method with an Over-Relaxed Stabilization for Low Regularity Elliptic Problems
Song, Lunji⋅Liu, Kaifang and Zhao, Shan
Journal of Scientific Computing, vol. 71, pp. 195-218. | Journal Article
2016
A new weak Galerkin finite element method for elliptic interface problems
Mu, Lin⋅Wang, Junping⋅Ye, Xiu and Zhao, Shan
Journal of Computational Physics, vol. 325, pp. 157–173. | Journal Article
 
A second order dispersive FDTD algorithm for transverse electric Maxwell’s equations with complex interfaces
Nguyen, Duc Duy⋅Nguyen, D.D.⋅Zhao, S. and Zhao, Shan
Computers & Mathematics with Applications, vol. 71, pp. 1010–1035. | Journal Article
 
Efficient numerical schemes for fractional water wave models
Li, Can and Zhao, Shan
Computers & Mathematics With Applications, vol. 71, pp. 238-254. | Journal Article
 
Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves
Zhang, Ya⋅Zhang, Ya⋅Nguyen, Duc Duy⋅Nguyen, Duc Duy⋅Du, Kewei⋅Du, Kewei⋅Xu, Jin⋅Xu, Jin⋅Zhao, Shan and Zhao, Shan
Advances in Applied Mathematics and Mechanics, vol. 8, pp. 353-385. | Journal Article
 
UNCONDITIONALLY STABLE TIME SPLITTING METHODS FOR THE ELECTROSTATIC ANALYSIS OF SOLVATED BIOMOLECULES
Wilson, Leighton and Zhao, Shan
International Journal of Numerical Analysis and Modeling, vol. 13, pp. 852-878. | Journal Article
 
UNCONDITIONALLY STABLE TIME SPLITTING METHODS FOR THE ELECTROSTATIC ANALYSIS OF SOLVATED BIOMOLECULES
Wilson, Leighton and Zhao, Shan
(pp. 852-878)
2015
A Matched Alternating Direction Implicit (ADI) Method for Solving the Heat Equation with Interfaces
Zhao, Shan
Journal of Scientific Computing, vol. 63, pp. 118-137. | Journal Article
 
A new discontinuous Galerkin method for the nonlinear Poisson–Boltzmann equation
Deng, Weishan⋅Zhufu, Xiaohe⋅Xu, Jin and Zhao, Shan
Applied Mathematics Letters, vol. 49, pp. 126–132. | Journal Article
 
A new high order dispersive FDTD method for Drude material with complex interfaces
Nguyen, Duc Duy⋅Nguyen, D.D.⋅Zhao, S. and Zhao, Shan
Journal of Computational and Applied Mathematics, vol. 285, pp. 1-14. | Journal Article
 
Machine learning in intelligent video and automated monitoring.
Yuan, Yu-Bo⋅David, Gao Yang and Zhao, Shan
TheScientificWorldJournal, vol. 2015, pp. 570145, 2015. | Journal Article
2014
A fast alternating direction implicit algorithm for geometric flow equations in biomolecular surface generation.
Tian, Wufeng and Zhao, Shan
International journal for numerical methods in biomedical engineering, vol. 30, (no. 4), pp. 490-516, 2014/Apr. | Journal Article
 
A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation
Mu, Lin⋅Wang, Junping⋅Ye, Xiu and Zhao, Shan
Communications in Computational Physics, vol. 15, pp. 1461-1479. | Journal Article
 
A unified discontinuous Galerkin framework for time integration
Zhao, Shan and Wei, G. W.
Mathematical Methods in the Applied Sciences, vol. 37, pp. 1042-1071. | Journal Article
 
High order FDTD methods for transverse magnetic modes with dispersive interfaces
Nguyen, Duc Duy⋅Nguyen, D.D.⋅Zhao, S. and Zhao, Shan
Applied Mathematics and Computation, vol. 226, pp. 699-707. | Journal Article