The Factorization Method for Inverse Problems (Oxford Lecture Series in Mathematics and Its Applications)

ISBN: 9780199213535

出版社: Oxford University Press, USA

出版年: 2008-02-09

页数: 216

定价: USD 90.00

装帧: Hardcover

内容简介

The factorization method is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. Aimed at students and researchers in Applied Mathematics, Physics and Engineering, this text introduces the reader to this promising approach for solving important classes of inverse problems. The wide applicability of this method is discussed by choosing typical examples, such as inverse scattering problems for the scalar Helmholtz equation, a scattering problem for Maxwell's equation, and a problem in impedance and optical tomography. The last section of the book compares the Factorization Method to established sampling methods (the Linear Sampling Method, the Singular Source Method, and the Probe Method).