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 …

Determining the shape of a perfectly conducting inclusion within a conducting medium from
voltage and current measurements on the accessible boundary of the medium can be …

We consider an inverse problem for Laplace equation by recovering the boundary value on
an inaccessible part of a circle from an overdetermined data on an accessible part of that …

We study the convergence of an iterative projection/reflection algorithm originally proposed
for solving what are known as phase retrieval problems in optics. There are two features that …

In this paper, the inverse Cauchy problem for Laplace equation defined in an arbitrary plane
domain is investigated by using the collocation Trefftz method (CTM) with a better …

We present a hybrid method to numerically solve the inverse scattering problem for shape
and impedance, given the far-field pattern for one incident direction. This method combines …

In the paper a nonlinear inverse Cauchy problem of nonlinear elliptic type partial differential
equation in an arbitrary doubly-connected plane domain is solved using a novel meshless …

We present a new method for solving the time-harmonic inverse scattering problem for
sound-soft or perfectly conducting cracks in two dimensions. Our approach extends a …

We consider the inverse Cauchy problems for Laplace equation in simply and doubly
connected plane domains by recoverning the unknown boundary value on an inaccessible …

For the problem to determine the shape of a perfectly conducting inclusion within a
conducting homogeneous host medium from overdetermined Cauchy data on the …