71 citations · 280 across the 32 of their papers we have counts for
32 papers
Asymptotic Recovery in Fourier Spectral Methods for the Schrödinger Equation with Point Singularities
Yanjie Li, Sihong Shao
This paper studies the Fourier spectral method (FSM) for the Schrödinger equation with singular potentials , where and denotes the spatial d…
An Adaptive Log-Laguerre Spectral Method for the Radial Dirac Equation: Resolving Asymptotic Decay and Core Singularities in Atomic Calculations
Sheng Chen, Sihong Shao, Shuai Wu
The high-precision solution of the radial Dirac equation is fundamental to relativistic quantum chemistry, essential for reliable pseudopotential generation and all-electron electr…
Nonlocalization of singular potentials in quantum dynamics
Sihong Shao, Lili Su
Nonlocal modeling has drawn more and more attention and becomes steadily more powerful in scientific computing. In this paper, we demonstrate the superiority of a first-principle n…
An ODE approach to multiple choice polynomial programming
Sihong Shao, Yishan Wu
We propose an ODE approach to solving multiple choice polynomial programming (MCPP) after assuming that the optimum point can be approximated by the expected value of so-called the…
Performance evaluations on the parallel CHAracteristic-Spectral-Mixed (CHASM) scheme
Yunfeng Xiong, Yong Zhang, Sihong Shao
Performance evaluations on the deterministic algorithms for 6-D problems are rarely found in literatures except some recent advances in the Vlasov and Boltzmann community [Dimarco…
Adaptive Hermite Spectral Methods in Unbounded Domains
Tom Chou, Sihong Shao, Mingtao Xia
Recently, new adaptive techniques were developed that greatly improved the efficiency of solving PDEs using spectral methods. These adaptive spectral techniques are especially suit…