Coverart for item
The Resource Inverse scattering theory and transmission eigenvalues, Fioralba Cakoni, Rutgers University, Piscataway, New Jersey, David Colton, University of Delaware, Newark, Delaware, Houssem Haddar, INRIA and Ecole Polytechnique, Palaiseau, France

Inverse scattering theory and transmission eigenvalues, Fioralba Cakoni, Rutgers University, Piscataway, New Jersey, David Colton, University of Delaware, Newark, Delaware, Houssem Haddar, INRIA and Ecole Polytechnique, Palaiseau, France

Label
Inverse scattering theory and transmission eigenvalues
Title
Inverse scattering theory and transmission eigenvalues
Statement of responsibility
Fioralba Cakoni, Rutgers University, Piscataway, New Jersey, David Colton, University of Delaware, Newark, Delaware, Houssem Haddar, INRIA and Ecole Polytechnique, Palaiseau, France
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Contributor
Author
Publisher
Subject
Language
eng
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
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Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
CBMS-NSF regional conference series in applied mathematics
Series volume
88
Target audience
  • adult
  • specialized
Inverse scattering theory and transmission eigenvalues, Fioralba Cakoni, Rutgers University, Piscataway, New Jersey, David Colton, University of Delaware, Newark, Delaware, Houssem Haddar, INRIA and Ecole Polytechnique, Palaiseau, France
Label
Inverse scattering theory and transmission eigenvalues, Fioralba Cakoni, Rutgers University, Piscataway, New Jersey, David Colton, University of Delaware, Newark, Delaware, Houssem Haddar, INRIA and Ecole Polytechnique, Palaiseau, France
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/doi/book/10.1137/1.9781611974461
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Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type MARC source
rdacontent
Contents
Preface -- 1. Inverse scattering theory -- 2. The determination of the support of inhomogeneous media -- 3. The interior transmission problem -- 4. The existence of transmission eigenvalues -- 5. Inverse spectral problems for transmission eigenvalues
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611974461&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3874239'}
Extent
1 PDF (x, 183 pages).
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611974461
Lccn
2016028888
Media category
electronic
Media MARC source
isbdmedia
Publisher number
CB88
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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