Cong Van

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20152017

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math.NA2017

Numerical results of solving 3D inverse scattering problem with non-over-determined data

C. Van

We consider the 3D inverse scattering problem with non-over-determined scattering data. The data are the scattering amplitude $A (β, α_{0}, k)$ for all $β \in S_{β}^{2}$ , where $S_{β}^{2}$ is…

cs.IT2017

Representation of big data by dimension reduction

A. G. Ramm, C. Van

Suppose the data consist of a set $S$ of points $x_{j}, 1 \leq j \leq J$ , distributed in a bounded domain $D \subset R^{N}$ , where $N$ and $J$ are large numbers. In this paper an algor…