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 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
- 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 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Inverse-scattering-theory-and-transmission/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/Inverse-scattering-theory-and-transmission/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>
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Data Citation of the Item 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Inverse-scattering-theory-and-transmission/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/Inverse-scattering-theory-and-transmission/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>
