Accurate calculation of Green's function of the Schrödinger equation in a block layered potential. - Sihong Shao; Wei Cai; Huazhong Tang (J. Comput. Phys., 2006)

A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media. - Wei Cai; Xia Ji 001; Jiguang Sun; Sihong Shao (J. Comput. Phys., 2008)

Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs. - Haiyan Jiang; Sihong Shao; Wei Cai; Pingwen Zhang (J. Comput. Phys., 2008)

Efficient iterative method for solving the Dirac-Kohn-Sham density functional theory. - Lin Lin 001; Sihong Shao; Weinan E (J. Comput. Phys., 2013)

Numerical methods for nonlinear Dirac equation. - Jian Xu; Sihong Shao; Huazhong Tang (J. Comput. Phys., 2013)

Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics. - Lin Lin 001; Jianfeng Lu 001; Sihong Shao (Entropy, 2014)

Comparison of deterministic and stochastic methods for time-dependent Wigner simulations. - Sihong Shao; Jean Michel D. Sellier (J. Comput. Phys., 2015)

An Advective-Spectral-Mixed Method for Time-Dependent Many-Body Wigner Simulations. - Yunfeng Xiong; Zhenzhu Chen; Sihong Shao (SIAM J. Sci. Comput., 2016)

A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences. - Zhenzhu Chen; Sihong Shao; Wei Cai (J. Comput. Phys., 2019)

Numerical Methods for the Wigner Equation with Unbounded Potential. - Zhenzhu Chen; Yunfeng Xiong; Sihong Shao (J. Sci. Comput., 2019)

SPADE: Sequential-clustering Particle Annihilation via Discrepancy Estimation. - Sihong Shao; Yunfeng Xiong (CoRR, 2020)

A frequency-dependent p-adaptive technique for spectral methods. - Mingtao Xia; Sihong Shao; Tom Chou (CoRR, 2020)

Branching Random Walk Solutions to the Wigner Equation. - Sihong Shao; Yunfeng Xiong (SIAM J. Numer. Anal., 2020)

Continuous iterative algorithms for anti-Cheeger cut. - Sihong Shao; Chuan Yang (CoRR, 2021)

A frequency-dependent p-adaptive technique for spectral methods. - Mingtao Xia; Sihong Shao; Tom Chou (J. Comput. Phys., 2021)

Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains. - Mingtao Xia; Sihong Shao; Tom Chou (SIAM J. Sci. Comput., 2021)

Adaptive Hermite Spectral Methods in Unbounded Domains. - Tom Chou; Sihong Shao; Mingtao Xia (CoRR, 2022)

Performance evaluations on the parallel CHAracteristic-Spectral-Mixed (CHASM) scheme. - Yunfeng Xiong; Yong Zhang; Sihong Shao (CoRR, 2022)

Nonlocalization of singular potentials in quantum dynamics. - Sihong Shao; Lili Su (CoRR, 2023)

An efficient stochastic particle method for high-dimensional nonlinear PDEs. - Zhengyang Lei; Sihong Shao; Yunfeng Xiong (CoRR, 2023)

A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner-Coulomb Dynamics. - Yunfeng Xiong; Yong Zhang; Sihong Shao (SIAM J. Sci. Comput., 2023)

A simple inverse power method for balanced graph cut. - Sihong Shao; Chuan Yang (CoRR, 2024)

Adaptive sampling accelerates the hybrid deviational particle simulations. - Zhengyang Lei; Sihong Shao (CoRR, 2024)

Overcoming the Numerical Sign Problem in the Wigner Dynamics via Adaptive Particle Annihilation. - Yunfeng Xiong; Sihong Shao (SIAM J. Sci. Comput., 2024)

Adaptive hyperbolic-cross-space mapped Jacobi method on unbounded domains with applications to solving multidimensional spatiotemporal integrodifferential equations. - Yunhong Deng; Sihong Shao; Alex Mogilner; Mingtao Xia (J. Comput. Phys., 2025)

An efficient stochastic particle method for moderately high-dimensional nonlinear PDEs. - Zhengyang Lei; Sihong Shao; Yunfeng Xiong (J. Comput. Phys., 2025)

Density estimation via mixture discrepancy and moments. - Zhengyang Lei; Sihong Shao (CoRR, 2025)

Stochastic particle method with birth-death dynamics. - Zhengyang Lei; Sihong Shao (CoRR, 2025)