A shape-difference-quotient based algorithm stably recovers eigenfunctions for clustered Laplacian eigenvalues caused by small domain perturbations, demonstrated on rectangles and equilateral triangles.
Liu, Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems, SpringerBriefs in Mathematics, Springer Nature Singapore, 2024
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Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues
A shape-difference-quotient based algorithm stably recovers eigenfunctions for clustered Laplacian eigenvalues caused by small domain perturbations, demonstrated on rectangles and equilateral triangles.