Inverse scattering theory and transmission eigenvalues /

Inverse scattering theory and transmission eigenvalues /

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Bibliographic Details
Author / Creator:	Cakoni, Fioralba, author.
Imprint:	Philadelphia : Society for Industrial and Applied Mathematics, [2016]
Description:	x, 193 pages : charts ; 26 cm.
Language:	English
Series:	CBMS-NSF regional conference series in applied mathematics ; 88 CBMS-NSF regional conference series in applied mathematics ; 88.
Subject:	Inverse problems (Differential equations) Scattering (Mathematics) Eigenvalues. Eigenvalues. Inverse problems (Differential equations) Scattering (Mathematics)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/10970126

Hidden Bibliographic Details
Other authors / contributors:	Colton, David L., 1943- author. Haddar, Houssem, author.
ISBN:	9781611974454 1611974453
Notes:	Includes bibliographical references (pages 185-191) and index.
Summary:	Inverse scattering theory is a major theme of applied mathematics, and it has applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is both nonlinear and ill-posed, thus presenting particular problems in the development of efficient inversion algorithms. Although linearized models continue to play an important role in many applications, an increased need to focus on problems in which multiple scattering effects cannot be ignored has led to a central role for nonlinearity, and the possibility of collecting large amounts of data over limited regions of space means that the ill-posed nature of the inverse scattering problem has become a problem of central importance. Initial efforts to address the nonlinear and the ill-posed nature of the inverse scattering problem focused on nonlinear optimization methods. While efficient in many situations, strong a priori information is necessary for their implementation. This problem led to a qualitative approach to inverse scattering theory in which the amount of a priori information is drastically reduced, although at the expense of only obtaining limited information about the values of the constitutive parameters. 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.
Other form:	Online version: Cakoni, Fioralba. Inverse scattering theory and transmission eigenvalues Philadelphia : Society for Industrial and Applied Mathematics, [2016] 9781611974461

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Call Number:	QA377 .C2475 2016
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