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Stability of ice rises and uncoupled marine ice sheets

Hindmarsh, R.C.A. ORCID: https://orcid.org/0000-0003-1633-2416. 1996 Stability of ice rises and uncoupled marine ice sheets. Annals of Glaciology, 23. 105-115. https://doi.org/10.3189/S0260305500013318

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Abstract/Summary

An analysis of the linear stability of marine ice sheets uncoupled from associated ice shelves is presented. The principal feature is a zero eigenvalue associated with infinitesimal shifts along the line of neutral equilibrium in phase space, termed the "equilibrium manifold". A finite-difference scheme is constructed which respects this stability property. The zero eigenvalue appears to allow modelling errors to accumulate rather than dissipate as occurs in land-based ice sheets. The practical significance of this is that even rather fine spatial grids may allow substantial numerical error to accumulate.

Item Type: Publication - Article
Digital Object Identifier (DOI): https://doi.org/10.3189/S0260305500013318
Programmes: BAS Programmes > Pre 2000 programme
ISSN: 0260-3055
Date made live: 15 Nov 2016 11:33 +0 (UTC)
URI: https://nora.nerc.ac.uk/id/eprint/515148

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