A qualitative approach to inverse scattering theory /

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Bibliographic Details
Author / Creator:Cakoni, Fioralba, author.
Imprint:New York : Springer, 2014.
Description:1 online resource (x, 297 pages) : illustrations.
Series:Applied Mathematical Sciences, 0066-5452 ; volume 188
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 188.
Subject:Inverse scattering transform.
Partial Differential Equations.
Theoretical, Mathematical and Computational Physics.
Fourier Analysis.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Inverse scattering transform.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11081913
Hidden Bibliographic Details
Other authors / contributors:Colton, David L., 1943- author.
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed November 4, 2013).
Summary:Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging, nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods have led in recent years to an alternative approach to the inverse scattering problem which avoids the incorrect model assumptions inherent in the use of weak scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new methods come under the general title of qualitative methods in inverse scattering theory and seek to determine an approximation to the shape of the scattering object as well as estimates on its material properties without making any weak scattering assumption and using essentially no a priori information on the nature of the scattering object.
Other form:Print version: Cakoni, Fioralba. Qualitative approach to inverse scattering theory. New York : Springer, [2014] x, 297 pages Applied mathematical sciences ; volume 188 0066-5452 9781461488262
Standard no.:10.1007/978-1-4614-8827-9