Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere
Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere
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Publisher
New York: Springer US
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Language
English
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New York: Springer US
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Contents
We present a method of solving partial differential equations on the
n
-dimensional unit sphere using methods based on the continuous wavelet transform derived from approximate identities. We give an explicit analytical solution to the Poisson equation and to the Helmholtz equations. For the first one and for some special values of the parame...
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Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere
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TN_cdi_proquest_journals_2811673147
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2811673147
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ISSN
1069-5869
E-ISSN
1531-5851
DOI
10.1007/s00041-023-10008-4