3 papers
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 kerne…
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…
math.NA2022
On optimal zero-padding of kernel truncation method
Xin Liu, Qinglin Tang, Shaobo Zhang +1
The kernel truncation method (KTM) is a commonly-used algorithm to compute the convolution-type nonlocal potential , where the convolution…