The goal of the review is to provide a state-of-the-art survey on sampling and probe methods
for the solution of inverse problems. Further, a configuration approach to some of the …

Inverse problems arise from the need to interpret indirect and incomplete measurements. As
an area of contemporary mathematics, the field of inverse problems is strongly driven by …

The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

In the fourteen years since the second edition of this book appeared, linear integral
equations have continued to be an active area of mathematics and they have revealed more …

Since the middle of the last century, computing power has increased sufficiently that the
direct numerical approximation of Maxwell's equations is now an increasingly important tool …

In this chapter, we are interested in finding coefficients of the second-order hyperbolic
operator:(8.0. 1) a0∂ 2 t u+ Au= f in Q= Ω×(0, T) given the initial data (8.0. 2) u= u0,∂ tu= u1 …

We provide a brief description of recent results in inverse scattering theory having as a
common mathematical framework the exploitation of the behaviour of the fundamental …

The factorization method is a relatively new method for solving certain types of inverse
scattering problems and problems in tomography. Aimed at students and researchers in …

Inverse scattering theory has been a particularly active and successful field in applied
mathematics and engineering for the past twenty years. The increasing demands of imaging …

The field of inverse scattering theory has been a particularly active field in applied
mathematics for the past 25 years. The aim of research in this field has been to not only …