3 papers
math.NA2026
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…
math.NA2026
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…
math.SP2025
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…