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Approximation of the spectrum of a manifold by discretization

Abstract : We approximate the spectral data (eigenvalues and eigenfunctions) of compact Riemannian manifold by the spectral data of a sequence of (computable) discrete Laplace operators associated to some graphs immersed in the manifold. We give an upper bound on the error that depends on upper bounds on the diameter and the sectional curvature and on a lower bound on the injectivity radius.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00776850
Contributor : Erwann Aubry <>
Submitted on : Wednesday, January 16, 2013 - 12:55:51 PM
Last modification on : Monday, October 12, 2020 - 10:27:31 AM
Long-term archiving on: : Saturday, April 1, 2017 - 5:58:15 AM

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  • HAL Id : hal-00776850, version 1

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Erwann Aubry. Approximation of the spectrum of a manifold by discretization. 2013. ⟨hal-00776850⟩

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