Shan Zhao - RankMe

59 papers Journal 59

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A fourth-order Cartesian grid method for elliptic problems with sharp-edged interfaces. J. Comput. Phys. Yiming Ren, Chuan Li, Guangqing Long, Shan Zhao
2026	J	`jnl`	Accurate and Scalable Continuum Electrostatics for Large Biomolecular Systems: The J. Chem. Inf. Model. Shailesh Kumar Panday, Shan Zhao, Emil Alexov
2026	J	`jnl`	Numerical solution to the three-dimensional p-Laplace equation: Finite difference methods and biological applications. J. Comput. Appl. Math. Matthias Dogbatsey, Zhan Chen, Yuanzhen Shao, Shan Zhao
2026	J	`jnl`	On generalizing the induced surface charge method to heterogeneous Poisson-Boltzmann models for electrostatic free energy calculation. J. Comput. Phys. Idowu E. Ijaodoro, Yuanzhen Shao, Emil Alexov, Shan Zhao
2025	J	`jnl`	A High-Order Hybrid Approach Integrating Neural Networks and Fast Poisson Solvers for Elliptic Interface Problems. Comput. Yiming Ren, Shan Zhao
2025	J	`jnl`	A Spatially Fourth-Order Cartesian Grid Method for Fast Solutions of Elliptic and Parabolic Problems on Irregular Domains with Sharply Curved Boundaries. J. Sci. Comput. Chuan Li, Shan Zhao, Benjamin Pentecost, Yiming Ren, Zhen Guan
2025	J	`jnl`	A new boundary condition for the nonlinear Poisson-Boltzmann equation in electrostatic analysis of proteins. J. Comput. Phys. Sylvia Amihere, Yiming Ren, Weihua Geng, Shan Zhao
2025	J	`jnl`	An Augmented Fourth Order Domain-Decomposed Method with FFT-Poisson Solver for Parabolic Interface Problems. J. Sci. Comput. Huanfeng Yang, Guangqing Long, Yiming Ren, Shan Zhao
2025	J	`jnl`	An augmented fourth order domain-decomposed method with fast algebraic solvers for three-dimensional Helmholtz interface problems. J. Comput. Phys. Huanfeng Yang, Guangqing Long, Yiming Ren, Shan Zhao
2025	J	`jnl`	On delivering polar solvation free energy of proteins from energy minimized structures using a regularized super-Gaussian Poisson-Boltzmann model. J. Comput. Chem. Shailesh Kumar Panday, Arghya Chakravorty, Shan Zhao, Emil Alexov
2024	J	`jnl`	A $p$-Laplacian approach and its analysis for the calculation of ensemble average solvation energy. Commun. Inf. Syst. Zhan Chen, Shan Zhao, Yuanzhen Shao
2024	J	`jnl`	Bridging Eulerian and Lagrangian Poisson-Boltzmann solvers by ESES. J. Comput. Chem. Sheik Ahmed Ullah, Xin Yang, Benjamin Jones, Shan Zhao, Weihua Geng, Guo-Wei Wei
2024	J	`jnl`	Calculation of electrostatic free energy for the nonlinear Poisson-Boltzmann model based on the dimensionless potential. J. Comput. Phys. Shan Zhao, Idowu E. Ijaodoro, Mark McGowan, Emil Alexov
2024	J	`jnl`	Comparison of three matched interface and boundary (MIB) schemes for solving the nonlinear Poisson-Boltzmann equation. Commun. Inf. Syst. Yiming Ren, Sylvia Amihere, Weihua Geng, Shan Zhao
2023	J	`jnl`	A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems. J. Comput. Phys. Yiming Ren, Shan Zhao
2023	J	`jnl`	A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains. J. Sci. Comput. Chuan Li, Yiming Ren, Guangqing Long, Eric Boerman, Shan Zhao
2023	J	`jnl`	Convergence of a diffuse interface Poisson-Boltzmann (PB) model to the sharp interface PB model: A unified regularization formulation. Appl. Math. Comput. Yuanzhen Shao, Mark McGowan, Siwen Wang, Emil Alexov, Shan Zhao
2022	J	`jnl`	A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains. J. Comput. Phys. Yiming Ren, Hongsong Feng, Shan Zhao
2022	J	`jnl`	A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions. J. Comput. Phys. Siwen Wang, Yuanzhen Shao, Emil Alexov, Shan Zhao
2022	J	`jnl`	Benchmarking electrostatic free energy of the nonlinear Poisson-Boltzmann model for the Kirkwood sphere. Commun. Inf. Syst. Sylvia Amihere, Weihua Geng, Shan Zhao
2021	J	`jnl`	Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface. Commun. Inf. Syst. Benjamin Jones, Sheik Ahmed Ullah, Siwen Wang, Shan Zhao
2021	J	`jnl`	Alternating Direction Implicit (ADI) Methods for Solving Two-Dimensional Parabolic Interface Problems with Variable Coefficients. Comput. Chuan Li, Guangqing Long, Yiquan Li, Shan Zhao
2021	J	`jnl`	FFT-Based High Order Central Difference Schemes for Poisson's Equation with Staggered Boundaries. J. Sci. Comput. Hongsong Feng, Guangqing Long, Shan Zhao
2021	J	`jnl`	Regularization methods for the Poisson-Boltzmann equation: Comparison and accuracy recovery. J. Comput. Phys. Arum Lee, Weihua Geng, Shan Zhao
2020	J	`jnl`	A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration. J. Comput. Phys. Hongsong Feng, Shan Zhao
2020	J	`jnl`	A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces. Appl. Math. Lett. Siwen Wang, Arum Lee, Emil Alexov, Shan Zhao
2020	J	`jnl`	Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface. CoRR Benjamin Jones, Sheik Ahmed Ullah, Siwen Wang, Shan Zhao
2020	J	`jnl`	Alternating direction ghost-fluid methods for solving the heat equation with interfaces. Comput. Math. Appl. Chuan Li, Zhihan Wei, Guangqing Long, Cameron Campbell, Stacy Ashlyn, Shan Zhao
2020	J	`jnl`	Capturing the Effects of Explicit Waters in Implicit Electrostatics Modeling: Qualitative Justification of Gaussian-Based Dielectric Models in DelPhi. J. Chem. Inf. Model. Arghya Chakravorty, Shailesh Kumar Panday, Swagata Pahari, Shan Zhao, Emil Alexov
2020	J	`jnl`	FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions. J. Comput. Phys. Hongsong Feng, Shan Zhao
2020	J	`jnl`	Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization. Appl. Math. Comput. Sheik Ahmed Ullah, Shan Zhao
2019	J	`jnl`	A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces. CoRR Siwen Wang, Arum Lee, Emil Alexov, Shan Zhao
2019	J	`jnl`	An augmented matched interface and boundary (MIB) method for solving elliptic interface problem. J. Comput. Appl. Math. Hongsong Feng, Guangqing Long, Shan Zhao
2019	J	`jnl`	Reproducing ensemble averaged electrostatics with Super-Gaussian-based smooth dielectric function: application to electrostatic component of binding energy of protein complexes. Commun. Inf. Syst. Shailesh Kumar Panday, Mihiri H. B. Shashikala, Arghya Chakravorty, Shan Zhao, Emil Alexov
2018	J	`jnl`	A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems. Comput. Math. Appl. Zhihan Wei, Chuan Li, Shan Zhao
2018	J	`jnl`	On developing stable finite element methods for pseudo-time simulation of biomolecular electrostatics. J. Comput. Appl. Math. Weishan Deng, Jin Xu, Shan Zhao
2018	J	`jnl`	Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions. J. Comput. Appl. Math. Lunji Song, Shan Zhao
2017	J	`jnl`	A Weak Galerkin Method with an Over-Relaxed Stabilization for Low Regularity Elliptic Problems. J. Sci. Comput. Lunji Song, Kaifang Liu, Shan Zhao
2017	J	`jnl`	A matched Peaceman-Rachford ADI method for solving parabolic interface problems. Appl. Math. Comput. Chuan Li, Shan Zhao
2017	J	`jnl`	A two-component Matched Interface and Boundary (MIB) regularization for charge singularity in implicit solvation. J. Comput. Phys. Weihua Geng, Shan Zhao
2016	J	`jnl`	A new weak Galerkin finite element method for elliptic interface problems. J. Comput. Phys. Lin Mu, Junping Wang, Xiu Ye, Shan Zhao
2016	J	`jnl`	A second order dispersive FDTD algorithm for transverse electric Maxwell's equations with complex interfaces. Comput. Math. Appl. Duc Duy Nguyen, Shan Zhao
2016	J	`jnl`	Efficient numerical schemes for fractional water wave models. Comput. Math. Appl. Can Li, Shan Zhao
2015	J	`jnl`	A Matched Alternating Direction Implicit (ADI) Method for Solving the Heat Equation with Interfaces. J. Sci. Comput. Shan Zhao
2015	J	`jnl`	A new discontinuous Galerkin method for the nonlinear Poisson-Boltzmann equation. Appl. Math. Lett. Weishan Deng, Xiaohe Zhufu, Jin Xu, Shan Zhao
2015	J	`jnl`	A new high order dispersive FDTD method for Drude material with complex interfaces. J. Comput. Appl. Math. Duc Duy Nguyen, Shan Zhao
2014	J	`jnl`	High order FDTD methods for transverse magnetic modes with dispersive interfaces. Appl. Math. Comput. Duc Duy Nguyen, Shan Zhao
2014	J	`jnl`	Operator splitting ADI schemes for pseudo-time coupled nonlinear solvation simulations. J. Comput. Phys. Shan Zhao
2014	J	`jnl`	Time-domain matched interface and boundary (MIB) modeling of Debye dispersive media with curved interfaces. J. Comput. Phys. Duc Duy Nguyen, Shan Zhao
2013	J	`jnl`	Weak Galerkin methods for second order elliptic interface problems. J. Comput. Phys. Lin Mu, Junping Wang, Guowei Wei, Xiu Ye, Shan Zhao
2012	J	`jnl`	Mathematical Methods for Images and Surfaces 2011. Int. J. Biomed. Imaging Weihong Guo, Lalita Udpa, Yang Wang, Guowei Wei, Shan Zhao
2010	J	`jnl`	High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces. J. Comput. Phys. Shan Zhao
2010	J	`jnl`	Mathematical Methods for Images and Surfaces. Int. J. Biomed. Imaging Guowei Wei, Lalita Udpa, Yang Wang, Shan Zhao
2008	J	`jnl`	Minimal molecular surfaces and their applications. J. Comput. Chem. Peter W. Bates, Guo-Wei Wei, Shan Zhao
2007	J	`jnl`	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. Guo-Wei Wei, Shan Zhao
2006	J	`jnl`	High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources. J. Comput. Phys. Yongcheng Zhou, Shan Zhao, Michael Feig, Guo-Wei Wei
2005	J	`jnl`	Option valuation by using discrete singular convolution. Appl. Math. Comput. Shan Zhao, Guo-Wei Wei
2003	J	`jnl`	Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation. SIAM J. Sci. Comput. Shan Zhao, Guo-Wei Wei
2003	J	`jnl`	Jump process for the trend estimation of time series. Comput. Stat. Data Anal. Shan Zhao, Guo-Wei Wei