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Convergence, Stability, and Discrete Approximation of Laplace Spectra

Convergence, Stability, and Discrete Approximation of Laplace Spectra

Spectral methods have been widely used in a broad range of applications fields. One important object involved in such methods is the Laplace-Beltrami operator of a manifold. Indeed, a variety of work in graphics and geometric optimization uses the eigen-structures (i.e, the eigenvalues and eigenfunctions) of the Laplace operator. Applications …