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The direct linearizing transform for the τ function in three-dimensional lattice equations

✍ Scribed by F.W. Nijhoff

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
396 KB
Volume
110
Category
Article
ISSN
0375-9601

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One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation
✍ C.M. Linton; I. Thompson 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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