Burago, D;
Ivanov, S;
Kurylev, Y;
(2014)
A graph discretization of the Laplace-Beltrami operator.
Journal of Spectral Theory
, 4
(4)
pp. 675-714.
10.4171/JST/83.
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Abstract
We show that eigenvalues and eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.
| Type: | Article |
|---|---|
| Title: | A graph discretization of the Laplace-Beltrami operator |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/JST/83 |
| Publisher version: | http://dx.doi.org/10.4171/JST/83 |
| Language: | English |
| Additional information: | © European Mathematical Society. |
| Keywords: | Laplace, graph, discretization, Riemannian, RIEMANNIAN-MANIFOLDS, CONVERGENCE |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1405894 |
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