Fast and accurate identification of unknown pollution sources is a crucial and challenging
task in water resources management, in which the characteristics of unknown pollution …

We consider the problem of identification of a pollution source in a river. The mathematical
model is a one-dimensional linear advection–dispersion–reaction equation with the right …

The task of locating a source based on the measurements of the signal emitted/emanating
from it is called the source-seeking problem. In the past few years, there has been a lot of …

We propose a new numerical method for the solution of the problem of the reconstruction of
the initial condition of a quasilinear parabolic equation from the measurements of both …

In this paper, we show the uniqueness of the identification of unknown source locations in
two-dimensional heat equations from scattered measurements. Based on the assumption …

We consider the problem of spatiotemporal sampling in which an initial state of an evolution
process is to be recovered from a set of samples at different time levels. We are particularly …

We consider an inverse source problem of determining a source term in the Helmholtz
equation from multi-frequency far-field measurements. Based on the Fourier series …

We consider an inverse source problem for the Helmholtz equation. This is concerned with
the reconstruction of an unknown source from multi-frequency data obtained from the …

We consider the acoustic source imaging problems in using multiple frequency data at
sparse directions/points. Using at most n observation directions/points, we show that the size …

We study the spatiotemporal sampling of a diffusion field generated by K point sources,
aiming to fully reconstruct the unknown initial field distribution from the sample …