71 citations · 280 across the 32 of their papers we have counts for
8 papers · 1 filter
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…
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…
A frequency-dependent -adaptive technique for spectral methods
Mingtao Xia, Sihong Shao, Tom Chou
When using spectral methods, a question arises as how to determine the expansion order, especially for time-dependent problems in which emerging oscillations may require adjusting…
Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains
Mingtao Xia, Sihong Shao, Tom Chou
When using Laguerre and Hermite spectral methods to numerically solve PDEs in unbounded domains, the number of collocation points assigned inside the region of interest is often in…