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2020 – today
- 2025
[j17]Yunhong Deng, Sihong Shao, Alex Mogilner, Mingtao Xia
:
Adaptive hyperbolic-cross-space mapped Jacobi method on unbounded domains with applications to solving multidimensional spatiotemporal integrodifferential equations. J. Comput. Phys. 520: 113492 (2025)- [j16]Zhengyang Lei, Sihong Shao, Yunfeng Xiong:
An efficient stochastic particle method for moderately high-dimensional nonlinear PDEs. J. Comput. Phys. 527: 113818 (2025) - 2024
- [j15]Yunfeng Xiong, Sihong Shao:
Overcoming the Numerical Sign Problem in the Wigner Dynamics via Adaptive Particle Annihilation. SIAM J. Sci. Comput. 46(2): 107- (2024) - [i11]Yunhong Deng, Sihong Shao, Alex Mogilner, Mingtao Xia:
Adaptive Hyperbolic-cross-space Mapped Jacobi Method on Unbounded Domains with Applications to Solving Multidimensional Spatiotemporal Integrodifferential Equations. CoRR abs/2404.07844 (2024) - [i10]Sihong Shao, Chuan Yang:
A simple inverse power method for balanced graph cut. CoRR abs/2405.18705 (2024) - [i9]Zhengyang Lei, Sihong Shao:
Adaptive sampling accelerates the hybrid deviational particle simulations. CoRR abs/2409.19584 (2024) - 2023
- [j14]Yunfeng Xiong, Yong Zhang, Sihong Shao:
A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner-Coulomb Dynamics. SIAM J. Sci. Comput. 45(3): 906-931 (2023) - [i8]Sihong Shao, Lili Su:
Nonlocalization of singular potentials in quantum dynamics. CoRR abs/2301.07298 (2023) - [i7]Zhengyang Lei, Sihong Shao, Yunfeng Xiong:
An efficient stochastic particle method for high-dimensional nonlinear PDEs. CoRR abs/2310.18666 (2023) - 2022
- [i6]Tom Chou, Sihong Shao, Mingtao Xia:
Adaptive Hermite Spectral Methods in Unbounded Domains. CoRR abs/2203.15630 (2022) - [i5]Yunfeng Xiong, Yong Zhang, Sihong Shao:
Performance evaluations on the parallel CHAracteristic-Spectral-Mixed (CHASM) scheme. CoRR abs/2205.01922 (2022) - 2021
- [j13]Mingtao Xia, Sihong Shao, Tom Chou:
A frequency-dependent p-adaptive technique for spectral methods. J. Comput. Phys. 446: 110627 (2021) - [j12]Mingtao Xia, Sihong Shao, Tom Chou:
Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains. SIAM J. Sci. Comput. 43(5): A3244-A3268 (2021) - [i4]Sihong Shao, Chuan Yang:
Continuous iterative algorithms for anti-Cheeger cut. CoRR abs/2103.10705 (2021) - 2020
- [j11]Sihong Shao, Yunfeng Xiong:
Branching Random Walk Solutions to the Wigner Equation. SIAM J. Numer. Anal. 58(5): 2589-2608 (2020) - [i3]Sihong Shao, Yunfeng Xiong:
SPADE: Sequential-clustering Particle Annihilation via Discrepancy Estimation. CoRR abs/2005.05129 (2020) - [i2]Mingtao Xia, Sihong Shao, Tom Chou:
Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains. CoRR abs/2009.13170 (2020) - [i1]Mingtao Xia, Sihong Shao, Tom Chou:
A frequency-dependent p-adaptive technique for spectral methods. CoRR abs/2010.02008 (2020)
2010 – 2019
- 2019
- [j10]Zhenzhu Chen, Sihong Shao, Wei Cai:
A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences. J. Comput. Phys. 396: 54-71 (2019) - [j9]Zhenzhu Chen, Yunfeng Xiong, Sihong Shao:
Numerical Methods for the Wigner Equation with Unbounded Potential. J. Sci. Comput. 79(1): 345-368 (2019) - 2016
- [j8]Yunfeng Xiong, Zhenzhu Chen, Sihong Shao:
An Advective-Spectral-Mixed Method for Time-Dependent Many-Body Wigner Simulations. SIAM J. Sci. Comput. 38(4) (2016) - 2015
- [j7]Sihong Shao, Jean Michel D. Sellier:
Comparison of deterministic and stochastic methods for time-dependent Wigner simulations. J. Comput. Phys. 300: 167-185 (2015) - 2014
- [j6]Lin Lin, Jianfeng Lu, Sihong Shao:
Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics. Entropy 16(1): 110-137 (2014) - 2013
- [j5]Jian Xu, Sihong Shao, Huazhong Tang:
Numerical methods for nonlinear Dirac equation. J. Comput. Phys. 245: 131-149 (2013) - [j4]Lin Lin, Sihong Shao, Weinan E:
Efficient iterative method for solving the Dirac-Kohn-Sham density functional theory. J. Comput. Phys. 245: 205-217 (2013)
2000 – 2009
- 2008
- [j3]Haiyan Jiang, Sihong Shao, Wei Cai, Pingwen Zhang:
Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs. J. Comput. Phys. 227(13): 6553-6573 (2008) - [j2]Wei Cai, Xia Ji, Jiguang Sun, Sihong Shao:
A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media. J. Comput. Phys. 227(23): 9933-9954 (2008) - 2006
- [j1]Sihong Shao, Wei Cai, Huazhong Tang:
Accurate calculation of Green's function of the Schrödinger equation in a block layered potential. J. Comput. Phys. 219(2): 733-748 (2006)
Coauthor Index
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