eprintid: 1405894
rev_number: 40
eprint_status: archive
userid: 608
dir: disk0/01/40/58/94
datestamp: 2013-09-15 18:44:10
lastmod: 2021-10-10 22:55:17
status_changed: 2017-02-27 12:06:21
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Burago, D
creators_name: Ivanov, S
creators_name: Kurylev, Y
title: A graph discretization of the Laplace-Beltrami operator
ispublished: pub
divisions: UCL
divisions: B04
divisions: C06
divisions: F59
keywords: Laplace, graph, discretization, Riemannian, RIEMANNIAN-MANIFOLDS, CONVERGENCE
note: © European Mathematical Society.
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.
date: 2014-01
publisher: EUROPEAN MATHEMATICAL SOC
official_url: http://dx.doi.org/10.4171/JST/83
vfaculties: VMPS
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_source: WoS-Lite
elements_id: 844405
doi: 10.4171/JST/83
lyricists_name: Kurylev, Yaroslav
lyricists_id: YKURL27
full_text_status: public
publication: Journal of Spectral Theory
volume: 4
number: 4
pagerange: 675-714
pages: 40
issn: 1664-039X
citation:        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 <https://doi.org/10.4171/JST%2F83>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/1405894/1/Kurylev_2014-004-004-02.pdf