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
 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 illposed, 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 illposed nature of the inverse scattering problem has become a problem of central importance. Initial efforts to address the nonlinear and the illposed 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
 Language
 eng
 Extent
 1 PDF (x, 183 pages).
 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
 Isbn
 9781611974461
 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
 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 illposed, 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 illposed nature of the inverse scattering problem has become a problem of central importance. Initial efforts to address the nonlinear and the illposed 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
 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
 CBMSNSF regional conference series in applied mathematics
 Series volume
 88
 Target audience

 adult
 specialized
 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
 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
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 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Inversescatteringtheoryandtransmission/nbhJGvE4ZmI/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Inversescatteringtheoryandtransmission/nbhJGvE4ZmI/">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</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>