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A fast algorithm for solving the dirichlet problem on hexagonal templet for the poisson equation in a rectangle

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Abstract

Using an explicit form of eigenvalues of the Laplacian on a hexagonal molecule, an economical method based on a fast Fourier transform is constructed for solving the Dirichlet problem in a rectangle. Bibliography:8 titles.

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References

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Authors
  1. V. L. Makarov
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  2. S. V. Makarov
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  3. M. M. Moskal’kov
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Additional information

Translated fromObchyslyuval’na ta Prykladna Matematyka, No. 77, 1993, pp. 19–26

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Makarov, V.L., Makarov, S.V. & Moskal’kov, M.M. A fast algorithm for solving the dirichlet problem on hexagonal templet for the poisson equation in a rectangle. J Math Sci 77, 3410–3414 (1995). https://doi.org/10.1007/BF02367986

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  • DOI: https://doi.org/10.1007/BF02367986

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