Numerical methods for nonlinear Dirac equation J Xu, S Shao, H Tang Journal of Computational Physics 245, 131-149, 2013 | 80 | 2013 |
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 | 60 | 2008 |
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 | 59 | 2011 |
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 | 48 | 2014 |
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 | 40 | 2006 |
Relativistic explicit correlation: Coalescence conditions and practical suggestions Z Li, S Shao, W Liu The Journal of Chemical Physics 136 (14), 2012 | 37 | 2012 |
The 1-Laplacian Cheeger cut: theory and algorithms KC Chang, S Shao, D Zhang Journal of Computational Mathematics, 443-467, 2015 | 32 | 2015 |
Interaction for the solitary waves of a nonlinear Dirac model S Shao, H Tang Physics Letters A 345 (1-3), 119-128, 2005 | 32 | 2005 |
Nodal domains of eigenvectors for 1-Laplacian on graphs KC Chang, S Shao, D Zhang Advances in Mathematics 308, 529-574, 2017 | 31 | 2017 |
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 | 31 | 2016 |
Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics† L Lin, J Lu, S Shao Entropy 16 (1), 110-137, 2013 | 28 | 2013 |
Interaction of solitary waves with a phase shift in a nonlinear Dirac model S Shao, H Tang Commun Comput Phys 3, 950-967, 2008 | 22 | 2008 |
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 | 21 | 2021 |
Multi-hump solitary waves of nonlinear Dirac equation J Xu, S Shao, H Tang, D Wei arXiv preprint arXiv:1311.7453, 2013 | 20 | 2013 |
Comparison of deterministic and stochastic methods for time-dependent Wigner simulations S Shao, JM Sellier Journal of Computational Physics 300, 167-185, 2015 | 19 | 2015 |
Adaptive Hermite spectral methods in unbounded domains T Chou, S Shao, M Xia Applied Numerical Mathematics 183, 201-220, 2023 | 15 | 2023 |
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 | 15 | 2017 |
A frequency-dependent p-adaptive technique for spectral methods M Xia, S Shao, T Chou Journal of Computational Physics 446, 110627, 2021 | 13 | 2021 |
Numerical methods for the Wigner equation with unbounded potential Z Chen, Y Xiong, S Shao Journal of Scientific Computing 79, 345-368, 2019 | 13 | 2019 |
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 | 13 | 2016 |