3 papers
math.NA2026
An efficient compact splitting Fourier spectral methods for computing the dynamics of rotating spin-orbit coupled spin-2 Bose-Einstein condenstates
Xin Liu, Ziqing Xie, Yongjun Yuan +2
This paper investigates the dynamics of spin-2 Bose-Einstein condensates (BECs) with rotation and spin-orbit coupling (SOC). In order to better simulate the dynamics, we present an…
math.NA2026
Fast convolution solvers using moment-matching
Xin Liu, Qinglin Tang, Yong Zhang
We propose two easy-to-implement fast algorithms based on moment-matching to compute the nonlocal potential on bounded domain, where the ker…
math.NA2025
Fast convolution solver based on far-field smooth approximation
Xin Liu, Yong Zhang
The convolution potential arises in a wide variety of application areas, and its efficient and accurate evaluation encounters three challenges: singularity, nonlocality and anisotr…