We discuss inverse problems for the Helmholtz equation at fixed energy, specifically the
inverse source problem and the inverse scattering problem from a medium or an obstacle. We …

We describe a new scheme for determining the convex scattering support of an unknown
scatterer when the physical properties of the scatterers are not known. The convex scattering …

We discuss inverse problems for the Helmholtz equation at fixed energy, specifically the
inverse source problem and the inverse scattering problem from a medium or an obstacle. In [S. …

A monochromatic, ie, fixed-frequency, back-scattering kernel measured at all angles does
not uniquely determine the index of refraction in an inhomogeneous medium, nor can it …

In this paper, we propose three key requisites for practical multi-period portfolio selection
solutions that highlight the central challenges of managing portfolios across a multiperiod …

We consider an inverse scattering problem in a 3D homogeneous shallow ocean. Specifically,
we describe a simple and efficient inverse method which can compute an approximation …

We discuss an inverse source problem for a general parabolic differential equation in $\mathbb{R}^n
\times \mathbb{R}_+$ with constant coefficients and a source whose strength and …

In recent yean, the demand for passive investment products in hard-to-replicate asset classes,
or exotic betas, has grown faster than financial services firms' capacity to engineer such …

The inverse problem of reconstructing the support of an embedded scatterer within a non
uniform background with a single probing incident wave of a single frequency can be thought …

This report discusses a fundamental radar imaging problem for narrowband electromagnetic
waves that extends the recent results originally obtained in 1, 2 in the scalar, or acoustic, …