Numerical Methods for Inverse Scattering Problems

Jingzhi LI is a professor at Department of Mathematics, Southern University of Science and Technology (SUSTech), China. He completed his Ph.D. study in Applied Mathematics in 2009 from the Chinese University of Hong Kong. His Ph.D. research was awarded Best Dissertation Award by the Mathematical Society of Hong Kong in 2011. Then, he spent two years working in the Department of Mathematics, ETH Zurich, Switzerland, as postdoctoral fellow. In 2011, he took an assistant professor position at Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences (CAS). In early 2012, he was enlisted in the Thousand Young Talents Recruitment Program of the Chinese government, top tier global recruitment program for young overseas scholars, and acquired early-career funding. He joined SUSTech in 2012 and served as an associate professor and then a full professor.  Hongyu LIU is a professor of Mathematics at the City University of Hong Kong, China. He obtained his Ph.D. in Mathematics from The Chinese University of Hong Kong in 2007. Before taking up the current position, he held faculty positions in Hong Kong Baptist University, the University of North Carolina at Charlotte in USA, the University of Reading in UK, and the University of Washington at Seattle in the USA. His research interests include inverse problems for partial differential equations, wave propagations, mathematical materials science, scattering theory, spectral theory, scientific computing, and machine learning. His research recognitions include the Calderon Prize by the Inverse Problems International Association, a Changjiang Chair Professorship by the Ministry of Education of China, and Hong Kong Mathematical Society Young Scholar Award.

Introduction.- Direct Acoustic Scattering Problems.- Numerical Inverse Acoustic Scattering Problems.- Direct Electromagnetic Scattering Problems.- Numerical Inverse Electromagnetic Scattering Problems.- Direct Elastic Scattering Problems.- Numerical Inverse Elastic Scattering Problems.- Miscellaneous topics.- Others.