Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues

Ryoki Endo; Xuefeng Liu

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arXiv · 2506.07340

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues

Ryoki Endo·Xuefeng Liu

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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.

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Ryoki Endo, Xuefeng Liu. 2025-06-09. Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues. https://arxiv.org/abs/2506.07340

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