Journal of Applied Mathematics and Statistical Applications

Research Article - Journal of Applied Mathematics and Statistical Applications (2018) Volume 2, Issue 1

A numerical solution of inverse scattering problem with non-over-determined data

The 3D inverse scattering problem with non-over-determined scattering data is considered. The data are the scattering amplitude A(β, α0, k) for all β ∈ S2β, where S2β is an open subset of the unit sphere S2 in R3, α∈ S2 is fixed, and K ∈ (a, b),0 ≤ a < b. In this paper, a numerical method is given for solving the inverse scattering problem with non-over-determined scattering data and the numerical results are presented.

Author(s): Alexander Ramm, Cong Van

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