71 citations · 280 across the 32 of their papers we have counts for
7 papers · 1 filter
Nonlinear Dirac equation solitary waves under a spinor force with different components
Franz G. Mertens, Fred Cooper, Sihong Shao +3
We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar self-interaction in the presence of external forces as well as damping of the form $γ^0 f(x,t) -…
Dual Cheeger Constants, Signless 1-Laplacians and Maxcut
Sihong Shao, Chuan Yang, Dong Zhang
The first nontrivial lower bound of the worst-case approximation ratio for the maxcut problem was achieved via the dual Cheeger problem, whose optimal value is referred to the dual…
Classifications and canonical forms of tensor product expressions in the presence of permutation symmetries
Zhendong Li, Sihong Shao, Wenjian Liu
Complicated mathematical equations involving products of tensors with permutation symmetries, frequently encountered in fields such as general relativity and quantum chemistry (e.g…
The -Laplacian Cheeger Cut: Theory and Algorithms
K. C. Chang, Sihong Shao, Dong Zhang
This paper presents a detailed review of both theory and algorithms for the Cheeger cut based on the graph -Laplacian. In virtue of the cell structure of the feasible set, we pr…
A computable branching random walk for the many-body Wigner quantum dynamics
Sihong Shao, Yunfeng Xiong
A branching random walk algorithm for the many-body Wigner equation and its numerical applications for quantum dynamics in phase space are proposed and analyzed. After introducing…
An advective-spectral-mixed method for time-dependent many-body Wigner simulations
Yunfeng Xiong, Zhenzhu Chen, Sihong Shao
As a phase space language for quantum mechanics, the Wigner function approach bears a close analogy to classical mechanics and has been drawing growing attention, especially in sim…