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Energy Thresholds for Discrete Breathers in One-, Two-, and Three-Dimensional Lattices

✍ Scribed by Flach, S.; Kladko, K.; MacKay, R. S.


Book ID
120592362
Publisher
The American Physical Society
Year
1997
Tongue
English
Weight
173 KB
Volume
78
Category
Article
ISSN
0031-9007

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✍ C.M. Linton; I. Thompson πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 365 KB

The accurate and efficient computation of lattice sums for the three-dimensional Helmholtz equation is considered for the cases where the underlying lattice is one-or twodimensional. We demonstrate, using careful numerical computations, that the reduction method, in which the sums for a two-dimensio