Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues
Spectral Theory
2025-06-10 v1 Numerical Analysis
Numerical Analysis
Abstract
The accurate computation of eigenfunctions corresponding to tightly clustered Laplacian eigenvalues remains an extremely difficult problem. In this paper, using the shape difference quotient of eigenvalues, we propose a stable computation method for the eigenfunctions of clustered eigenvalues caused by domain perturbation.
Cite
@article{arxiv.2506.07340,
title = {Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues},
author = {Ryoki Endo and Xuefeng Liu},
journal= {arXiv preprint arXiv:2506.07340},
year = {2025}
}