Inverse Problems to a System of Semilinear Helmholtz Equations
Abstract
The speaker and his research group study an inverse problem for a coupled system of semilinear Helmholtz equations where they are interested in reconstructing multiple coefficients of the system from internal data measured in applications such as thermoacoustic imaging. They derive results on the uniqueness and stability of the inverse problem in the case of small boundary data, based on the technique of first- and higher-order linearization. Numerical simulations are provided to illustrate the quality of reconstructions that can be expected from noisy data. This is based on a joint work with Nathan SOEDJAK.
About the Speaker
Prof. REN Kui received his PhD in Applied Mathematics from Columbia University in 2006. He continued his research as a Postdoctoral Research Associate/ Adjunct Assistant Professor at Columbia in 2006-2007. He joined the University of Texas at Austin in 2008 as an Assistant Professor and then was promoted to Associate Professor and later to Full Professor. In 2018, He returned to Columbia University and is currently a Professor of Applied Mathematics there.
Prof. Ren’s research interests are in applied and computational mathematics in general. His recent research topics include applied partial differential equations, computational inverse problems, mathematics of imaging, computational learning, numerical optimization, fast algorithms, random graphs and complex networks. He is the Associate Editor of SIAM Journal on Applied Mathematics, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal and Results in Applied Mathematics, to name a few.
Prof. Ren is the recipient of the 2017 Calderón Prize of the Inverse Problems International Association. He has been a Member of the American Mathematical Society and of the Society for Industrial and Applied Mathematics.
For Attendees' Attention
This talk will be held online via Zoom. To attend, please join the Zoom meeting at https://hkust.zoom.us/j/94690499883 (Meeting ID: 946 9049 9883 / Passcode: iasip2023).
About the Program
For more information, please refer to the program website at https://iasprogram.hkust.edu.hk/inverseproblems/.
