Neumann nodal domains

As an alternative to nodal domains in the usual sense, we propose a partition of the domain of a real-valued eigenfunction in by trajectories of the gradient, linking saddle points to extrema. Its most elementary properties are listed and exemplified. The main point is that the problem of avoided cr...

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Bibliographic Details
Published in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2014-01, Vol.372 (2007), p.20120505-20120505
Main Authors: McDonald, Ross B., Fulling, Stephen A.
Format: Article
Language:English
Subjects:
Eigenfunction
Node
Saddle Point
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Summary:As an alternative to nodal domains in the usual sense, we propose a partition of the domain of a real-valued eigenfunction in by trajectories of the gradient, linking saddle points to extrema. Its most elementary properties are listed and exemplified. The main point is that the problem of avoided crossings is largely eliminated.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2012.0505