Professor | Sihong Shao | Asia Growth Partners

Name	Sihong Shao
Contact Information	sihong at math dot pku dot edu dot cn
Language ability	Chinese, English
Province	Beijing

Name

Sihong Shao

Contact Information

sihong at math dot pku dot edu dot cn

Language ability

Chinese, English

Province

Beijing

University/Lab Affiliation and Title	Peking University
Faculty	Mathematical Sciences
Academic Background & Achievements	2009 PhD: Peking University 2003 Bachelor: Peking University
Work Experience	2024- Professor, Peking University 2012-2023 Associate Professor, Peking University 2010-2012 Assistant Professor, Peking University 2014 Visiting Research Scholar, University of Seville 2014 Visiting Research Scholar, Chinese University of Hong Kong 2012 Visiting Research Scholar, Princeton University 2009-2010 Postdoctoral Fellow, Hong Kong University of Science and Technology 2007-2008 Visiting Research Scholar, University of North Carolina
Awards	2021 Peking University Huang Tingfang/Xinhe Young Outstanding Scholar Award 2020 Peking University Outstanding PhD Thesis Advisor 2019 Beijing Institute for Artificial Intelligence 'Zhiyuan Young Scientist' 2015 Procter & Gamble Teaching Award 2013, 2017 Peking University Outstanding Class Teacher (twice) 2011 Peking University Outstanding PhD Thesis Third Prize 2008 Peking University Los Angeles Scholarship 2007 Peking University May Fourth Scholarship 2006 Peking University Huawei Scholarship 2005, 2006, 2008 Peking University Academic Innovation Award (three times) 2005 Peking University Samsung Scholarship 2005 Chinese Society for Computational Mathematics Outstanding Young Paper Competition First Prize 2004, 2007 Peking University Academic Excellence Award (twice)

University/Lab Affiliation and Title

Peking University

Faculty

Mathematical Sciences

Academic Background & Achievements

2009 PhD: Peking University
2003 Bachelor: Peking University

Work Experience

2024- Professor, Peking University
2012-2023 Associate Professor, Peking University
2010-2012 Assistant Professor, Peking University
2014 Visiting Research Scholar, University of Seville
2014 Visiting Research Scholar, Chinese University of Hong Kong
2012 Visiting Research Scholar, Princeton University
2009-2010 Postdoctoral Fellow, Hong Kong University of Science and Technology
2007-2008 Visiting Research Scholar, University of North Carolina

Awards

2021 Peking University Huang Tingfang/Xinhe Young Outstanding Scholar Award
2020 Peking University Outstanding PhD Thesis Advisor
2019 Beijing Institute for Artificial Intelligence 'Zhiyuan Young Scientist'
2015 Procter & Gamble Teaching Award
2013, 2017 Peking University Outstanding Class Teacher (twice)
2011 Peking University Outstanding PhD Thesis Third Prize
2008 Peking University Los Angeles Scholarship
2007 Peking University May Fourth Scholarship
2006 Peking University Huawei Scholarship
2005, 2006, 2008 Peking University Academic Innovation Award (three times)
2005 Peking University Samsung Scholarship
2005 Chinese Society for Computational Mathematics Outstanding Young Paper Competition First Prize
2004, 2007 Peking University Academic Excellence Award (twice)

Areas of Focus	High-dimensional numerical methods Discrete modeling and combinatorial optimization Computational quantum mechanics Spectral theory and algorithms Numerical solutions of differential equations Computational complexity
Publications	A characteristic-spectral-mixed scheme for six-dimensional Wigner-Coulomb dynamics, Yunfeng Xiong, Yong Zhang, Sihong Shao, 2023 Nonlocalization of singular potentials in quantum dynamics, Sihong Shao, Lili Su, 2023 Adaptive Hermite spectral methods in unbounded domains, Tom Chou, Sihong Shao, Mingtao Xia, 2023 Noncollinear density functional theory, Zhichen Pu, Hao Li, Ning Zhang, Hong Jiang, Yiqin Gao, Yunlong Xiao, Qiming Sun, Yong Zhang, Sihong Shao, 2023 A higher-order accurate operator splitting spectral method for the Wigner-Poisson system, Zhenzhu Chen, Haiyan Jiang, Sihong Shao, 2022 A frequency-dependent p-adaptive technique for spectral methods, Mingtao Xia, Sihong Shao, Tom Chou, 2021 Efficient scaling and moving techniques for spectral methods in unbounded domains, Mingtao Xia, Sihong Shao, Tom Chou, 2021 Lovász extension and graph cut, Kung-Ching Chang, Sihong Shao, Dong Zhang, Weixi Zhang, 2021 Nonsmooth critical point theory and applications to the spectral graph theory, Kung-Ching Chang, Sihong Shao, Dong Zhang, Weixi Zhang, 2021 Branching random walk solutions to the Wigner equation, Sihong Shao, Yunfeng Xiong, 2020 A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences, Zhenzhu Chen, Sihong Shao, Wei Cai, 2019 Externally driven nonlinear Dirac equation revisited: theory and simulations, Niurka R. Quintero, Sihong Shao, Renato Alvarez-Nodarse, Franz G. Mertens, 2019 Numerical methods for the Wigner equation with unbounded potential, Zhenzhu Chen, Yunfeng Xiong, Sihong Shao, 2019 The Wigner branching random walk: Efficient implementation and performance evaluation, Yunfeng Xiong, Sihong Shao, 2019 A branching random walk method for many-body Wigner quantum dynamics, Sihong Shao, Yunfeng Xiong, 2019 Cheeger's cut, maxcut and the spectral theory of 1-Laplacian on graphs, Kung-Ching Chang, Sihong Shao, Dong Zhang, 2017 Nonlinear Dirac equation solitary waves under a spinor force with different components, Franz G. Mertens, Fred Cooper, Sihong Shao, Niurka R. Quintero, Avadh Saxena, A. R. Bishop, 2017 Nodal domains of eigenvectors for 1-Laplacian on graphs, Kung-Ching Chang, Sihong Shao, Dong Zhang, 2017 Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs, Wei Cai, Haiyan Jiang, Pingwen Zhang, Sihong Shao, 2008 A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media, Wei Cai, Xia Ji, Jiguang Sun, Sihong Shao, 2008 Nonlinear Dirac equation solitary waves under a spinor force with different components, A.R. Bishop, Fred Cooper, Franz G. Mertens, Niurka R. Quintero, Avadh Saxena, Sihong Shao, 2017 A variational model for two-phase immiscible electro-osmotic flows, Tiezheng Qian, Sihong Shao, 2012 Relativistic explicit correlation: Coalescence conditions and practical suggestions, Zhendong Li, Wenjian Liu, Sihong Shao, 2012 Adaptive conservative cell average spectral element methods for transient Wigner equation in quantum transport, Wei Cai, Tiao Lu, Sihong Shao, 2011 Efficient iterative method for solving the Dirac-Kohn-Sham density functional theory, Weinan E, Lin Lin, Sihong Shao, 2013 Interaction of solitary waves with a phase shift in a nonlinear Dirac model, Huazhong Tang, Sihong Shao, 2008 Accurate calculation of Green's function of the Schroedinger equation in a block layered potential, Wei Cai, Huazhong Tang, Sihong Shao, 2006 Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model, Huazhong Tang, Sihong Shao, 2006 Interaction for the solitary waves of a nonlinear Dirac model, Huazhong Tang, Sihong Shao, 2005 Numerical methods for nonlinear Dirac equation, Huazhong Tang, Jian Xu, Sihong Shao, 2013 Analysis of the time reversible Born-Oppenheimer molecular dynamics, Lin Lin, Jianfeng Lu, Sihong Shao, 2014 The 1-Laplacian Cheeger Cut: Theory and Algorithms, K.C. Chang, Dong Zhang, Sihong Shao, 2015 Multi-hump solitary waves of a nonlinear Dirac equation, Huazhong Tang, Dongyi Wei, Jian Xu, Sihong Shao, 2015 Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity, Fred Cooper, Avinash Khare, Franz G. Mertens, Niurka R. Quintero, Avadh Saxena, Sihong Shao, 2014 Feature-scale simulations of particulate slurry flows in chemical mechanical polishing by smoothed particle hydrodynamics, Wei Cai, Dong Wang, Changhao Yan, Xuan Zeng, Sihong Shao

Areas of Focus

High-dimensional numerical methods
Discrete modeling and combinatorial optimization
Computational quantum mechanics
Spectral theory and algorithms
Numerical solutions of differential equations
Computational complexity

Publications

A characteristic-spectral-mixed scheme for six-dimensional Wigner-Coulomb dynamics, Yunfeng Xiong, Yong Zhang, Sihong Shao, 2023
Nonlocalization of singular potentials in quantum dynamics, Sihong Shao, Lili Su, 2023
Adaptive Hermite spectral methods in unbounded domains, Tom Chou, Sihong Shao, Mingtao Xia, 2023
Noncollinear density functional theory, Zhichen Pu, Hao Li, Ning Zhang, Hong Jiang, Yiqin Gao, Yunlong Xiao, Qiming Sun, Yong Zhang, Sihong Shao, 2023
A higher-order accurate operator splitting spectral method for the Wigner-Poisson system, Zhenzhu Chen, Haiyan Jiang, Sihong Shao, 2022
A frequency-dependent p-adaptive technique for spectral methods, Mingtao Xia, Sihong Shao, Tom Chou, 2021
Efficient scaling and moving techniques for spectral methods in unbounded domains, Mingtao Xia, Sihong Shao, Tom Chou, 2021
Lovász extension and graph cut, Kung-Ching Chang, Sihong Shao, Dong Zhang, Weixi Zhang, 2021
Nonsmooth critical point theory and applications to the spectral graph theory, Kung-Ching Chang, Sihong Shao, Dong Zhang, Weixi Zhang, 2021
Branching random walk solutions to the Wigner equation, Sihong Shao, Yunfeng Xiong, 2020
A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences, Zhenzhu Chen, Sihong Shao, Wei Cai, 2019
Externally driven nonlinear Dirac equation revisited: theory and simulations, Niurka R. Quintero, Sihong Shao, Renato Alvarez-Nodarse, Franz G. Mertens, 2019
Numerical methods for the Wigner equation with unbounded potential, Zhenzhu Chen, Yunfeng Xiong, Sihong Shao, 2019
The Wigner branching random walk: Efficient implementation and performance evaluation, Yunfeng Xiong, Sihong Shao, 2019
A branching random walk method for many-body Wigner quantum dynamics, Sihong Shao, Yunfeng Xiong, 2019
Cheeger's cut, maxcut and the spectral theory of 1-Laplacian on graphs, Kung-Ching Chang, Sihong Shao, Dong Zhang, 2017
Nonlinear Dirac equation solitary waves under a spinor force with different components, Franz G. Mertens, Fred Cooper, Sihong Shao, Niurka R. Quintero, Avadh Saxena, A. R. Bishop, 2017
Nodal domains of eigenvectors for 1-Laplacian on graphs, Kung-Ching Chang, Sihong Shao, Dong Zhang, 2017
Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs, Wei Cai, Haiyan Jiang, Pingwen Zhang, Sihong Shao, 2008
A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media, Wei Cai, Xia Ji, Jiguang Sun, Sihong Shao, 2008
Nonlinear Dirac equation solitary waves under a spinor force with different components, A.R. Bishop, Fred Cooper, Franz G. Mertens, Niurka R. Quintero, Avadh Saxena, Sihong Shao, 2017
A variational model for two-phase immiscible electro-osmotic flows, Tiezheng Qian, Sihong Shao, 2012
Relativistic explicit correlation: Coalescence conditions and practical suggestions, Zhendong Li, Wenjian Liu, Sihong Shao, 2012
Adaptive conservative cell average spectral element methods for transient Wigner equation in quantum transport, Wei Cai, Tiao Lu, Sihong Shao, 2011
Efficient iterative method for solving the Dirac-Kohn-Sham density functional theory, Weinan E, Lin Lin, Sihong Shao, 2013
Interaction of solitary waves with a phase shift in a nonlinear Dirac model, Huazhong Tang, Sihong Shao, 2008
Accurate calculation of Green's function of the Schroedinger equation in a block layered potential, Wei Cai, Huazhong Tang, Sihong Shao, 2006
Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model, Huazhong Tang, Sihong Shao, 2006
Interaction for the solitary waves of a nonlinear Dirac model, Huazhong Tang, Sihong Shao, 2005
Numerical methods for nonlinear Dirac equation, Huazhong Tang, Jian Xu, Sihong Shao, 2013
Analysis of the time reversible Born-Oppenheimer molecular dynamics, Lin Lin, Jianfeng Lu, Sihong Shao, 2014
The 1-Laplacian Cheeger Cut: Theory and Algorithms, K.C. Chang, Dong Zhang, Sihong Shao, 2015
Multi-hump solitary waves of a nonlinear Dirac equation, Huazhong Tang, Dongyi Wei, Jian Xu, Sihong Shao, 2015
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity, Fred Cooper, Avinash Khare, Franz G. Mertens, Niurka R. Quintero, Avadh Saxena, Sihong Shao, 2014
Feature-scale simulations of particulate slurry flows in chemical mechanical polishing by smoothed particle hydrodynamics, Wei Cai, Dong Wang, Changhao Yan, Xuan Zeng, Sihong Shao

High-Dimensional Numerical Methods Discrete Modeling Combinatorial Optimization Quantum Mechanics Spectral Theory Algorithms Differential Equations Numerical Solutions Computational Complexity

Zhou Tie - Peking University

Hui Feng - Wuhan University

Li Yinan - Wuhan University

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