Associate Professor、Doctoral Supervisor
Contact Information:
Email: sihong@pku.edu.cn
Tel: 15010272376
Homepage: http://scholar.pku.edu.cn/ssh/
Work experience:
Associate professor, School of Mathematical Sciences, PKU, 8/2012-present
Assistant professor, School of Mathematical Sciences, PKU, 5/2010-7/2012
Visiting research scholar, Instituto de Matemáticas Universidad de Sevilla, Universidad de Sevilla, Spain, 10/2014-11/2014
Visiting research scholar, Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong, 1/2014-3/2014
Visiting research scholar, Program in Applied and Computational Mathematics, Princeton University, USA, 2/2012-6/2012
Post-doctoral fellow, Department of Mathematics, The Hong Kong University of Science and Technology, Hong Kong, 2/2009-4/2010
Visiting research scholar, Department of Mathematics and Statistics, UNC Charlotte, USA, 8/2007-7/2008
Education:
Ph.D. in Computational Mathematics, School of Mathematical Sciences, Peking University (PKU), 9/2003-1/2009
B.S. in Information and Computing Science, School of Mathematical Sciences, PKU, 9/1999-7/2003
Research Areas:
Computational Quantum Mechanics，Spectral Graph Theory and Combinatorial Optimization， Brain Sciences，Numerical PDEs
Interested Research Areas in CAPT：
Boltzmann equation；Wigner equation；Numerical Simulations in Phase Space
Grants and Awards：
Procter & Gamble Teaching Award, PKU, 2015
Annual Excellent Class Tutor, PKU, 2013, 2017
Excellent Ph. D. Thesis Award (Third Prize), PKU, 2011
First Prize of the 2nd Paper Competition for Young Computational Mathematicians, China Society for Computational Mathematics, 2005
Selected Publications：
1. Sihong Shao, Yunfeng Xiong, Branching random walk solutions to the Wigner equation, SIAM Journal on Numerical Analysis 58 (2020) 2589.
2. Sihong Shao, Yunfeng Xiong, A branching random walk method for many-body Wigner quantum dynamics, Numerical Mathematics: Theory, Methods and Applications 12 (2019) 21.
3. Jian Xu, Sihong Shao, Huazhong Tang, Numerical methods for nonlinear Dirac equation, Journal of Computational Physics 245 (2013) 131.
4. Kung Ching Chang, Sihong Shao, Dong Zhang, Nodal domains of eigenvectors for 1-Laplacian on graphs, Advances in Mathematics 308 (2017) 529.
5. 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.
6. Sihong Shao, Niurka R. Quintero, Franz G. Mertens, Fred Cooper, Avinash Khare, Avadh Saxena, Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity, Physical Review E 90 (2014) 032915.
7. Zhendong Li,Sihong Shao, Wenjian Liu, Relativistic explicit correlation: Coalescence conditions and practical suggestions, Journal of Chemical Physics 136 (2012) 144117.
8. Yunfeng Xiong, Zhenzhu Chen, Sihong Shao An advective-spectral-mixed method for time-dependent many-body Wigner simulations, SIAM Journal on Scientific Computing 38 (2016) B491.
9. Sihong Shao, Tiao Lu, Wei Cai, Adaptive conservative cell average spectral element methods for transient Wigner equation in quantum transport, Communications in Computational Physics 9 (2011) 711.
10. Jian Xu, Sihong Shao, Huazhong Tang, Dongyi Wei, Multihump solitary waves of a nonlinear Dirac equation, Communications in Mathematical Sciences 13 (2015) 1219.
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