Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915333197004800 |
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| author | Endo, Ryoki Liu, Xuefeng |
| author_facet | Endo, Ryoki Liu, Xuefeng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07340 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues Endo, Ryoki Liu, Xuefeng Spectral Theory Numerical Analysis 65N25, 65N30 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. |
| title | Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues |
| topic | Spectral Theory Numerical Analysis 65N25, 65N30 |
| url | https://arxiv.org/abs/2506.07340 |