Sihong Shao
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Citeras av
Numerical methods for nonlinear Dirac equation
J Xu, S Shao, H Tang
Journal of Computational Physics 245, 131-149, 2013
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
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
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
Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model
S Shao, H Tang
Discrete & Continuous Dynamical Systems-B 6 (3), 623, 2006
Relativistic explicit correlation: Coalescence conditions and practical suggestions
Z Li, S Shao, W Liu
The Journal of Chemical Physics 136 (14), 144117, 2012
Interaction for the solitary waves of a nonlinear Dirac model
S Shao, H Tang
Physics Letters A 345 (1-3), 119-128, 2005
The 1-Laplacian Cheeger cut: theory and algorithms
KC Chang, S Shao, D Zhang
Journal of Computational Mathematics, 443-467, 2015
Nodal domains of eigenvectors for 1-Laplacian on graphs
KC Chang, S Shao, D Zhang
Advances in Mathematics 308, 529-574, 2017
Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics
L Lin, J Lu, S Shao
Entropy 16 (1), 110-137, 2013
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
Interaction of solitary waves with a phase shift in a nonlinear Dirac model
S Shao, H Tang
Commun Comput Phys 3, 950-967, 2008
Multi-hump solitary waves of nonlinear Dirac equation
J Xu, S Shao, H Tang, D Wei
arXiv preprint arXiv:1311.7453, 2013
Comparison of deterministic and stochastic methods for time-dependent Wigner simulations
S Shao, JM Sellier
Journal of Computational Physics 300, 167-185, 2015
Cheeger’s cut, maxcut and the spectral theory of 1-Laplacian on graphs
KC Chang, SH Shao, D Zhang
Science China Mathematics 60 (11), 1963-1980, 2017
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
A computable branching random walk for the many-body Wigner quantum dynamics
S Shao, Y Xiong
arXiv preprint arXiv:1603.00159, 2016
Numerical methods for the Wigner equation with unbounded potential
Z Chen, Y Xiong, S Shao
Journal of Scientific Computing 79 (1), 345-368, 2019
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces
FG Mertens, F Cooper, NR Quintero, S Shao, A Khare, A Saxena
Journal of Physics A: Mathematical and Theoretical 49 (6), 065402, 2016
Accurate calculation of Green’s function of the Schrödinger equation in a block layered potential
S Shao, W Cai, H Tang
Journal of Computational Physics 219 (2), 733-748, 2006
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