代表作
Yunfeng Xiong, Yong Zhang, Sihong Shao, A characteristic-spectral-mixed scheme for six-dimensional Wigner-Coulomb dynamics, SIAM Journal on Scientific Computing 45 (2023) B906.
Sihong Shao, Lili Su, Nonlocalization of singular potentials in quantum dynamics, Journal of Computational Electronics 22 (2023) 930.
Tom Chou, Sihong Shao, Mingtao Xia, Adaptive Hermite spectral methods in unbounded domains, Applied Numerical Mathematics 183 (2023) 201.
Zhichen Pu, Hao Li, Ning Zhang, Hong Jiang, Yiqin Gao, Yunlong Xiao, Qiming Sun, Yong Zhang, Sihong Shao, Noncollinear density functional theory, Physical Review Research 5 (2023) 013036.
Zhenzhu Chen, Haiyan Jiang, Sihong Shao, A higher-order accurate operator splitting spectral method for the Wigner-Poisson system, Journal of Computational Electronics 21 (2022) 756.
Mingtao Xia, Sihong Shao, Tom Chou, A frequency-dependent p-adaptive technique for spectral methods, Journal of Computational Physics 446 (2021) 110627.
Mingtao Xia, Sihong Shao, Tom Chou, Efficient scaling and moving techniques for spectral methods in unbounded domains, SIAM Journal on Scientific Computing 43 (2021) A3244.
Kung-Ching Chang, Sihong Shao, Dong Zhang, Weixi Zhang, Lovász extension and graph cut, Communications in Mathematical Sciences 19 (2021) 761.
Kung-Ching Chang, Sihong Shao, Dong Zhang, Weixi Zhang, Nonsmooth critical point theory and applications to the spectral graph theory, SCIENCE CHINA Mathematics 64 (2021) 1.
Sihong Shao, Yunfeng Xiong, Branching random walk solutions to the Wigner equation, SIAM Journal on Numerical Analysis 58 (2020) 2589.
Zhenzhu Chen, Sihong Shao*, Wei Cai, A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences, Journal of Computational Physics 396 (2019) 54.
Niurka R. Quintero, Sihong Shao*, Renato Alvarez-Nodarse, Franz G. Mertens, Externally driven nonlinear Dirac equation revisited: theory and simulations, Journal of Physics A: Mathematical and Theoretical 52 (2019) 155401.
Zhenzhu Chen, Yunfeng Xiong, Sihong Shao*, Numerical methods for the Wigner equation with unbounded potential, Journal of Scientific Computing 79 (2019) 345.
Yunfeng Xiong, Sihong Shao*, The Wigner branching random walk: Efficient implementation and performance evaluation, Communications in Computational Physics 25 (2019) 871.
Sihong Shao*, Yunfeng Xiong, A branching random walk method for many-body Wigner quantum dynamics, Numerical Mathematics: Theory, Methods and Applications 12 (2019) 21.
Kung-Ching Chang*, Sihong Shao, Dong Zhang, Cheeger's cut, maxcut and the spectral theory of 1-Laplacian on graphs, SCIENCE CHINA Mathematics 60 (2017) 1963.
Franz G. Mertens, Fred Cooper, Sihong Shao, Niurka R. Quintero, Avadh Saxena*, A. R. Bishop, Nonlinear Dirac equation solitary waves under a spinor force with different components, Journal of Physics A: Mathematical and Theoretical 50 (2017) 145201.
Kung-Ching Chang, Sihong Shao*, Dong Zhang, Nodal domains of eigenvectors for 1-Laplacian on graphs, Advances in Mathematics 308 (2017) 529.
With Wei Cai (蔡伟), Haiyan Jiang (姜海燕), Pingwen Zhang (张平文), Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs, Journal of Computational Physics 227 (2008) 6553.
With Wei Cai (蔡伟), Xia Ji (季霞), Jiguang Sun (孙继广), A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media, Journal of Computational Physics 227 (2008) 9933.
With A.R. Bishop, Fred Cooper, Franz G. Mertens, Niurka R. Quintero, Avadh Saxena, Nonlinear Dirac equation solitary waves under a spinor force with different components, Journal of Physics A: Mathematical and Theoretical 50 (2017) 145201.
With Tiezheng Qian (钱铁铮), A variational model for two-phase immiscible electro-osmotic flows, Communications in Computational Physics 11 (2012) 831.
With Zhendong Li (李振东), Wenjian Liu (刘文剑), Relativistic explicit correlation: Coalescence conditions and practical suggestions, Journal of Chemical Physics 136 (2012) 144117.
With Wei Cai (蔡伟), Tiao Lu (卢朓), Adaptive conservative cell average spectral element methods for transient Wigner equation in quantum transport, Communications in Computational Physics 9 (2011) 711.
With Weinan E (鄂维南), Lin Lin (林霖), Efficient iterative method for solving the Dirac-Kohn-Sham density functional theory, Journal of Computational Physics 245 (2013) 205.
With Zhendong Li (李振东), Wenjian Liu (刘文剑), Coalescence conditions of relativistic wave functions, DOI 10.1007/978-3-642-41611-8_8-1, Handbook of Relativistic Quantum Chemistry, Springer-Verlag Berlin Heidelberg 2015.
With Huazhong Tang (汤华中), Interaction of solitary waves with a phase shift in a nonlinear Dirac model, Communications in Computational Physics 3 (2008) 950.
With Wei Cai (蔡伟), Huazhong Tang (汤华中), Accurate calculation of Green's function of the Schroedinger equation in a block layered potential, Journal of Computational Physics 219 (2006) 733.
With Huazhong Tang (汤华中), Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model, Discrete and Continuous Dynamical Systems-Series B 6 (2006) 623.
With Huazhong Tang (汤华中), Interaction for the solitary waves of a nonlinear Dirac model, Physics Letters A 345 (2005) 119.
With Huazhong Tang (汤华中), Jian Xu (徐健), Numerical methods for nonlinear Dirac equation, Journal of Computational Physics 245 (2013) 131.
With Lin Lin (林霖), Jianfeng Lu (鲁剑锋), Analysis of the time reversible Born-Oppenheimer molecular dynamics, Entropy 16 (2014) 110.
With K.C. Chang (张恭庆), Dong Zhang (张栋), The 1-Laplacian Cheeger Cut: Theory and Algorithms, Journal of Computational Mathematics 33 (2015) 443. [arXiv:1603.01687]. http://arxiv.org/abs/1603.01687
With Huazhong Tang (汤华中), Dongyi Wei (韦东奕), Jian Xu (徐健), Multi-hump solitary waves of a nonlinear Dirac equation, Communications in Mathematical Sciences 13 (2015), 1219. (arXiv:1311.7453)
With Fred Cooper, Avinash Khare, Franz G. Mertens, Niurka R. Quintero, Avadh Saxena, Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity, Physical Review E 90 (2014) 032915.
With Wei Cai (蔡伟), Dong Wang (王冬), Changhao Yan (严昌浩), Xuan Zeng (曾璇), Feature-scale simulations of particulate slurry flows in chemical mechanical polishing by smoothed particle hydrodynamics, Communications in Computational Physics 16 (2014) 1389.
With Dong Wang (王冬), Yisong Zhou (周逸松), Efficient implementation of smoothed particle hydrodynamics (SPH) with plane sweep algorithm, Communications in Computational Physics 19 (2016) 770.
With K.C. Chang (张恭庆), Dong Zhang (张栋), Nodal Domains of Eigenvectors for 1-Laplacian on Graphs, Advances in Mathematics 308 (2017) 529 [arXiv:1602.07472].
With Zhendong Li (李振东), Wenjian Liu (刘文剑), Basic structures of relativistic wave functions, DOI 10.1007/978-3-642-41611-8_7-1, Handbook of Relativistic Quantum Chemistry, Springer-Verlag Berlin Heidelberg 2015.
With Zhendong Li (李振东), Wenjian Liu (刘文剑), Relativistic explicit correlation: Problems and solutions, DOI 10.1007/978-3-642-41611-8_9-1, Handbook of Relativistic Quantum Chemistry, Springer-Verlag Berlin Heidelberg 2015.
With Fred Cooper, Avinash Khare, Franz G. Mertens, Niurka R. Quintero, Avadh Saxena, Nonlinear Dirac equation solitary waves in the presence of external driving forces, Journal of Physics A: Mathematical and Theoretical 49 (2016) 065402.
With Jean Michel Sellier, Comparison of Deterministic and Stochastic Methods for Time-Dependent Wigner Simulations, Journal of Computational Physics 300 (2015) 167.
With Zhenzhu Chen (陈珍珠), Yunfeng Xiong (熊云丰), An advective-spectral-mixed method for time-dependent many-body Wigner simulations, SIAM Journal on Scientific Computing 38 (2016) B491 [arXiv:1602.08853].
With Zhendong Li (李振东), Wenjian Liu (刘文剑), Classifications and canonical forms of tensor product expressions in the presence of permutation symmetries, arXiv:1604.06156, April, 2016.
With K.C. Chang (张恭庆), Dong Zhang (张栋), Spectrum of the signless 1-Laplacian and the dual Cheeger constant on graphs, Submitted, Jul. 2016 [arXiv:1607.00489].
