We consider quantum and acoustic wave propagation at fixed frequency for compactly
supported scatterers in dimension d≥ 2. In these framework we give explicit formulas for …

We develop the∂¯-approach to inverse scattering at fixed energy in dimensions d≥ 3 of
Beals and Coifman (1984) and Henkin and Novikov (1987). As a result, we propose a stable …

In this paper, we consider the Gelfand–Levitan–Marchenko–Krein approach. It is used for
solving a variety of inverse problems, like inverse scattering or inverse problems for wave …

In this work the numerical solution of acoustic tomography problem based on the iterative
and functional-analytical algorithms is considered. The mathematical properties of these …

We consider two inverse problems for the multi-channel two-dimensional Schrödinger
equation at fixed positive energy, ie, the equation− Δψ+ V (x) ψ= Eψ at fixed positive E …

Two variants of a functional-analytical algorithm intended for solving inverse tomography
problems are discussed and numerically carried out. The acoustic fields that are transmitted …

Riemann–Hilbert problem approach for two-dimensional flow inverse scatteringa) | Journal of
Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt …

Inverse scattering without phase information Page 1 Séminaire Laurent Schwartz EDP et
applications Année 2014-2015 RG Novikov Inverse scattering without phase information …

We give a short review of old and recent results on the multidimensional inverse scattering
problem for the Schrödinger equation. A special attention is paid to efficient reconstructions …

We discuss a method for monochromatic inverse scattering in three dimensions of Novikov
in Int. Math. Res. Papers 2005 (6): 287–349, 2005 and implemented numerically in …