Suivre
Sihong Shao
Titre
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Numerical methods for nonlinear Dirac equation
J Xu, S Shao, H Tang
Journal of Computational Physics 245, 131-149, 2013
792013
Boundary treatments in non-equilibrium Green’s function (NEGF) methods for quantum transport in nano-MOSFETs
H Jiang, S Shao, W Cai, P Zhang
Journal of Computational Physics 227 (13), 6553-6573, 2008
582008
Adaptive conservative cell average spectral element methods for transient Wigner equation in quantum transport
S Shao, T Lu, W Cai
Communications in Computational Physics 9 (3), 711-739, 2011
562011
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
S Shao, NR Quintero, FG Mertens, F Cooper, A Khare, A Saxena
Physical Review E 90 (3), 032915, 2014
482014
Higher-order accurate Runge-Kutta discontinuous Galerkin methods fora nonlinear Dirac model
S Shao, H Tang
Discrete and Continuous Dynamical Systems-B 6 (3), 623-640, 2006
402006
Relativistic explicit correlation: Coalescence conditions and practical suggestions
Z Li, S Shao, W Liu
The Journal of Chemical Physics 136 (14), 2012
362012
Interaction for the solitary waves of a nonlinear Dirac model
S Shao, H Tang
Physics Letters A 345 (1-3), 119-128, 2005
322005
The 1-Laplacian Cheeger cut: theory and algorithms
KC Chang, S Shao, D Zhang
Journal of Computational Mathematics, 443-467, 2015
312015
Nodal domains of eigenvectors for 1-Laplacian on graphs
KC Chang, S Shao, D Zhang
Advances in Mathematics 308, 529-574, 2017
302017
An advective-spectral-mixed method for time-dependent many-body Wigner simulations
Y Xiong, Z Chen, S Shao
SIAM Journal on Scientific Computing 38 (4), B491-B520, 2016
302016
Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics
L Lin, J Lu, S Shao
Entropy 16 (1), 110-137, 2013
282013
Interaction of solitary waves with a phase shift in a nonlinear Dirac model
S Shao, H Tang
Commun Comput Phys 3, 950-967, 2008
222008
Multi-hump solitary waves of nonlinear Dirac equation
J Xu, S Shao, H Tang, D Wei
arXiv preprint arXiv:1311.7453, 2013
202013
Efficient scaling and moving techniques for spectral methods in unbounded domains
M Xia, S Shao, T Chou
SIAM Journal on Scientific Computing 43 (5), A3244-A3268, 2021
192021
Comparison of deterministic and stochastic methods for time-dependent Wigner simulations
S Shao, JM Sellier
Journal of Computational Physics 300, 167-185, 2015
192015
Cheeger’s cut, maxcut and the spectral theory of 1-Laplacian on graphs
KC Chang, SH Shao, D Zhang
Science China Mathematics 60, 1963-1980, 2017
152017
Adaptive Hermite spectral methods in unbounded domains
T Chou, S Shao, M Xia
Applied Numerical Mathematics 183, 201-220, 2023
132023
Spectrum of the signless 1-Laplacian and the dual Cheeger constant on graphs
KC Chang, S Shao, D Zhang
arXiv preprint arXiv:1607.00489, 2016
132016
Numerical methods for the Wigner equation with unbounded potential
Z Chen, Y Xiong, S Shao
Journal of Scientific Computing 79, 345-368, 2019
122019
A computable branching random walk for the many-body Wigner quantum dynamics
S Shao, Y Xiong
arXiv preprint arXiv:1603.00159, 2016
122016
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