Alex Timonov Publishes Two Articles in Mathematics Journals

September 17, 2012 at 10:35 am

Imaging from coupled physics, a new phenomenon, has become of increasing interest to the applied mathematics community. The key idea is that contrast induced by one type of radiation is read by another type, so that both resolution and high contrast are obtained simultaneously. Alex Timonov, associate professor of mathematics, is among scientists pioneered in this area. His recently awarded sabbatical is devoted to further developments within the national/international collaborative projects on the cutting edge of medical, geophysics and industrial imaging research. This is on-going collaboration with the University of Central Florida, University of North Carolina at Charlotte, University of Toronto (Canada) and Swedish Defence Research Agency (Stockholm, Sweden). Recognizing a collaborative effort, two key articles were recently published in the prestigious national and international mathematics journals.

The first article titled “Current Density Impedance Imaging” (with A.Nachman and A.Tamasan) was published in Contemporary Mathematics of the American Mathematical Society, 559 (2011), pp.135-150. It was written in the editorial preface: “The articles, written by leading experts , address important analytic, numerical, and physical issues of the newly developing imaging modalities (e.g., photoacoustics, current impedance imaging, hybrid imaging techniques, elasticity imaging), as well as the recent progress in resolving outstanding problems of more traditional modalities,…”

The second article “A Convergent Algorithm For The Hybrid Problem of Reconstructing Conductivity From Minimal Interior Data” (with A. Moradifam and A. Nachman) has been published in the special issue of Inverse Problems, 28 (2012), 20pp. In the foreword to this special issue it was written: “In this special section we have invited contributions from many of the leading researchers in the mathematics, physics and engineering of these techniques to survey and to collaborate on these novel methodologies, and to present recent research direction.”