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<p>The accurate computation of eigenfunctions corresponding to tightly clustered Laplacian eigenvalues remains an extremely difficult problem. Using the shape difference quotient of eigenvalues, we propose a stable computation method for the eigenfunctions of clustered eigenvalues caused by domain perturbation.</p>

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Stable computation of Laplacian eigenfunctions corresponding to clustered eigenvalues

  • 期刊论文

  • 发表日期：

    2025年10月30日

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  • Ryoki Endo,
  • Xuefeng Liu

摘要

The accurate computation of eigenfunctions corresponding to tightly clustered Laplacian eigenvalues remains an extremely difficult problem. Using the shape difference quotient of eigenvalues, we propose a stable computation method for the eigenfunctions of clustered eigenvalues caused by domain perturbation.