2 papers
math.NA2025
Provable Low-Rank Tensor-Train Approximations in the Inverse of Large-Scale Structured Matrices
Chuanfu Xiao, Kejun Tang, Zhitao Zhu
This paper studies the low-rank property of the inverse of a class of large-scale structured matrices in the tensor-train (TT) format, which is typically discretized from different…
math.NA2024
APTT: An accuracy-preserved tensor-train method for the Boltzmann-BGK equation
Zhitao Zhu, Chuanfu Xiao, Kejun Tang +2
Solving the Boltzmann-BGK equation with traditional numerical methods suffers from high computational and memory costs due to the curse of dimensionality. In this paper, we propose…