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Strongly elliptic pseudodifferential equations on the sphere with radial basis functions

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 Added by Thanh Tran
 Publication date 2013
  fields
and research's language is English




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Spherical radial basis functions are used to define approximate solutions to strongly elliptic pseudodifferential equations on the unit sphere. These equations arise from geodesy. The approximate solutions are found by the Galerkin and collocation methods. A salient feature of the paper is a {em unified theory} for error analysis of both approximation methods.



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