The 'factorization method', discovered by Professor Kirsch, is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. The text introduces the reader to this promising approach and discusses the wide applicability of this method by choosing typical examples.
The book is highly illustrated and contains many exercises. This together with the choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students in mathematics and engineering.
This book addresses the identification of the shape of penetrable periodic media by means of scattered time-harmonic waves.
This qualitative approach (the linear sampling method, the factorization method, the theory of transmission eigenvalues, etc.) is the theme of Inverse Scattering Theory and Transmission Eigenvalues.
[HAN 95] HANKE M., Conjugate Gradient Type Methods for Ill-Posed Problems, Longman, Harlow, 1995. [HAN 98] HANSEN P.C., Rank-Deficient and Discrete Ill-Posed Problems: Numerical 208 Numerical Methods for Inverse Problems.
This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for ...
Inverse Problems in Partial Differential Equations
This work deals with several aspects of inverse scattering for inhomogeneous chiral materials: A chiral object - the scatterer - is situated in vacuum and illuminated by an electromagnetic wave. This wave is scattered.
This book presents papers given at a Conference on Inverse Scattering on the Line, held in June 1990 at the University of Massachusetts, Amherst.
This book rigorously discusses state-of-the-art inverse problems theory, focusing on numerically relevant aspects and omitting subordinate generalizations; presents diverse real-world applications, important test cases, and possible ...
This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the ...