3 papers
math.NA2026
An efficient and stable diffusion generated method for quadrilateral mesh generation in general domains
Jingwen Dai, Zhonghua Qiao, Dong Wang
This paper introduces a novel, robust, and computationally efficient framework for high-quality quadrilateral mesh generation on general two-dimensional domains. The core of the pr…
math.NA2024
A new randomized CholeskyQR based on LU decomposition with partial pivoting
Yuwei Fan, Haoran Guan, Zhonghua Qiao
CholeskyQR has received considerable attention in recent years for its efficiency and simplicity in computing QR decomposition of the tall-skinny wit…
math.NA2024
An improved Shifted CholeskyQR based on columns
Yuwei Fan, Haoran Guan, Zhonghua Qiao
Among all the deterministic CholeskyQR-type algorithms, Shifted CholeskyQR3 is specifically designed to address the QR factorization of ill-conditioned matrices. This algorithm int…