In this paper, we propose and analyze two new direct factorization methods for solving
inverse scattering problems. Both direct factorization methods are built upon the …

We consider the inverse backscattering problem for a biharmonic operator with two lower
order perturbations in two and three dimensions. The inverse Born approximation is used to …

In this paper, we propose an extended direct factorization method for solving inverse
scattering problems with limited aperture data. It assembles and generalizes two recently …

We consider an inverse scattering problem for the Schrödinger operator in two dimensions.
The aim of this work is to discuss some first numerical results on Saito's formula. Saito's …

The subject of this work concerns the classical direct and inverse scattering problems for
quasi-linear perturbations of the two-dimensional biharmonic operator. The quasi-linear …

We propose a novel adaptive algorithm, which generates nonuniform sampling points that
automatically concentrate near the boundary of an unknown scatterer, to dramatically speed …

The inverse fixed angle problem for operator $\Delta^ 2 u+ V (x,| u|) u $ is considered in
dimensions $ n= 2, 3$. We prove that the difference between an inverse fixed angle Born …

The inverse backscattering Born approximation for two-dimensional quasi-linear biharmonic
operator is studied. We prove the precise formulae for the first nonlinear term of the Born …

We prove the existence of scattering solutions for multidimensional magnetic Schrödinger
equation such that the scattered field belongs to the weighted Lebesgue space L-δ 2 (R …

In this work we study the inverse quantum scattering via deep learning regression, which is
implemented via a Multilayer Perceptron. A step-by-step method is provided in order to …