Motivated by bioluminescent imaging needs for studies on gene therapy and other
applications in the mouse models, a bioluminescence tomography (BLT) system is being …

The generalized finite difference method (GFDM) is a relatively new domain-type meshless
method for the numerical solution of certain boundary value problems. This paper …

The inverse source problem for Maxwell's equations is considered. We show that the
problem of finding a volume current density from surface measurements does not have a …

The inverse source problem of the Helmholtz equation in an interior domain is investigated.
We show the uniqueness and local stability, where the source consists of multiple point …

An iterative/recursive algorithm is studied for recovering unknown sources of acoustic field
with multifrequency measurement data. Under additional regularity assumptions on source …

This paper presents the use of the method of fundamental solutions (MFS) for recovering the
heat source in steady‐state heat conduction problems from boundary temperature and heat …

We show that for a particular choice of gauge the vector potential of any nonradiating source
is spatially localized along with its electric and magnetic fields. Important on its own, this …

The paper is concerned with the solution of nonlinear ill-posed problems by methods that
utilize the second derivative. A general predictor-corrector approach is developed; one …

The scalar wave inverse source problem (ISP) of determining an unknown radiating source
from knowledge of the field it generates outside its region of localization is investigated for …

The inverse source problem where an unknown source is to be identified from knowledge of
its radiated wave is studied. The focus is placed on the effect that multi-frequency data have …