Inverse Problems And Applications

This proceedings volume gathers peer-reviewed, selected papers presented at the “Mathematical and Numerical Approaches for Multi-Wave Inverse Problems” conference at the Centre Internacional de Rencontres Mathématiques (CIRM) in Marseille, France, in April 2019. It brings the latest research into new, reliable theoretical approaches and numerical techniques for solving nonlinear and inverse problems arising in multi-wave and hybrid systems.

Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.

This will be the first book on the topic of new methods in inverse problems in electromagnetics. The inverse problems such as optimization, synthesis, diagnostics, and identification are becoming one of the most important subjects in the field because of the significant practical applications to electric circuits and electromagnetics. This book introduces the recent achievements in mathematics and computing. The information on how to use the modern theoretical ideas and methods to solve inverse problems will help both students and specialists. The book systematically treats modern mathematic methods of inverse problems solution by providing descriptions of the most important practical inverse problems and the methods to solve them. Included also are descriptions of the properties of inverse problems and known methods of their solution as well as the practical implementation of these methods in electric circuits theory and electromagnetic fields theory.