In the last two decades, the field of inverse problems has certainly been one of the fastest
growing areas in applied mathematics. This growth has largely been driven by the needs of
applications both in other sciences and in industry. In Chapter 1, we will give a short …

This book is aimed at postgraduate students in applied mathematics as well as at
engineering and physics students with a? rm background in mathem-ics. The? rst four
chapters can be used as the material for a? rst course on inverse problems with a focus on …

Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at
New Mexico Tech and is designed to be accessible to typical graduate students in the
physical sciences who do not have an extensive mathematical background. The book is …

This is a graduate textbook on the principles of linear inverse problems, methods of their
approximate solution, and practical application in imaging. The level of mathematical
treatment is kept as low as possible to make the book suitable for a wide range of readers …

The field of inverse problems has experienced explosive growth in the last few decades.
This is due in part to the importance of applications, like biomedical and seismic imaging,
that require the practical solution of inverse problems. It is also due to the recent …

We examine the general non-linear inverse problem with a finite number of parameters. In
order to permit the incorporation of any a priori information about parameters and any
distribution of data (not only of gaussian type) we propose to formulate the problem not …

This article concerns infinitesimal free vibrations of undamped elastic systems of finite
extent. A review is made of the literature relating to the unique reconstruction of a vibrating
system from natural frequency data. The literature is divided into two groups—those papers …

The normal business of physicists may be schematically thought of as predic ting the
motions of particles on the basis of known forces, or the propagation of radiation on the
basis of a known constitution of matter. The inverse problem is to conclude what the forces …

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
on Ω×{0}, the Neumann lateral data (8.0. 3) aν·∇ u= g1 on γ1×(0, T), and the additional …

Iconical equations, rays, and fronts Boundary rays; waveguides: a sufficient condition for the
absence of waveguides and boundary rays—ray regularity One-dimensional inverse
kinematic problems Linearized three-dimensional inverse problems Nonlinear three …