Stability of piecewise flat Ricci flow in three dimensions

For a recently developed piecewise flat approximation of the Ricci flow, numerical instabilities are seen to arise for a particularly useful class of mesh-types. Here, a geometrically motivated adaptation to these meshes is introduced, and a linear stability analysis and numerical simulations used t...

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Bibliographic Details

Published in:	Journal of numerical analysis and approximation theory Vol. 54; no. 1; pp. 42 - 61
Main Author:	Conboye, Rory
Format:	Journal Article
Language:	English
Published:	Publishing House of the Romanian Academy 30.06.2025
Subjects:	Numerical Ricci flow, piecewise flat, linear stability
ISSN:	2457-6794, 2501-059X
Online Access:	Get full text
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