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Inverse Problems, Multi-Scale Analysis, and Effective Medium Theory

Edited by: Habib Ammari Ecole Polytechnique, Palaiseau, France
Hyeonbae Kang Seoul National University, Seoul, Korea
Available Formats:
Electronic ISBN: 978-0-8218-7998-6
Product Code: CONM/408.E
List Price: $75.00 MAA Member Price:$67.50
AMS Member Price: $60.00 Click above image for expanded view Inverse Problems, Multi-Scale Analysis, and Effective Medium Theory Edited by: Habib Ammari Ecole Polytechnique, Palaiseau, France Hyeonbae Kang Seoul National University, Seoul, Korea Available Formats:  Electronic ISBN: 978-0-8218-7998-6 Product Code: CONM/408.E  List Price:$75.00 MAA Member Price: $67.50 AMS Member Price:$60.00
• Book Details

Contemporary Mathematics
Volume: 4082006; 265 pp
MSC: Primary 35; 45; 65; 78;

Recent developments in inverse problems, multi-scale analysis and effective medium theory reveal that these fields share several fundamental concepts. This book is the proceedings of the research conference, “Workshop in Seoul: Inverse Problems, Multi-Scale Analysis and Homogenization,” held at Seoul National University, June 22–24, 2005. It highlights the benefits of sharing ideas among these areas, of merging the expertise of scientists working there, and of directing interest towards challenging issues such as imaging nanoscience and biological imaging. Contributions are written by prominent experts and are of interest to researchers and graduate students interested in partial differential equations and applications.

Graduate students and research mathematicians interested in partial differential equations and applications to inverse problems, multi-scale analysis and homogenization.

• Articles
• Habib Ammari and Hyeonbae Kang - Generalized polarization tensors, inverse conductivity problems, and dilute composite materials: a review [ MR 2262349 ]
• Yves Capdeboscq and Hyeonbae Kang - Improved bounds on the polarization tensor for thick domains [ MR 2262350 ]
• Hyeonbae Kang and Graeme W. Milton - On conjectures of Polya-Szegő and Eshelby [ MR 2262351 ]
• Kenji Houzaki, Naoshi Nishimura and Yoshihiro Otani - An FMM for periodic rigid-inclusion problems and its application to homogenisation [ MR 2262352 ]
• H. Cheng, W. Crutchfield, Z. Gimbutas, L. Greengard, J. Huang, V. Rokhlin, N. Yarvin and J. Zhao - Remarks on the implementation of the wideband FMM for the Helmholtz equation in two dimensions [ MR 2262353 ]
• Tom Hou, Danping Yang and Hongyu Ran - Multiscale computation of isotropic homogeneous turbulent flow [ MR 2262354 ]
• Nathan Albin and Andrej Cherkaev - Optimality conditions on fields in microstructures and controllable differential schemes [ MR 2262355 ]
• Mathias Fink - Time-reversal acoustics [ MR 2262356 ]
• George Dassios - What is recoverable in the inverse magnetoencephalography problem? [ MR 2262357 ]
• J. J. Liu, H. C. Pyo, J. K. Seo and E. J. Woo - Convergence properties and stability issues in MREIT algorithm [ MR 2262358 ]
• Gen Nakamura, Gunther Uhlmann and Jenn-Nan Wang - Oscillating-decaying solutions for elliptic systems [ MR 2262359 ]
• Masaru Ikehata - Stroh eigenvalues and identification of discontinuity in an anisotropic elastic material [ MR 2262360 ]
• Gen Nakamura, Roland Potthast and Mourad Sini - A comparative study between some non-iterative methods for the inverse scattering [ MR 2262361 ]

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 4082006; 265 pp
MSC: Primary 35; 45; 65; 78;

Recent developments in inverse problems, multi-scale analysis and effective medium theory reveal that these fields share several fundamental concepts. This book is the proceedings of the research conference, “Workshop in Seoul: Inverse Problems, Multi-Scale Analysis and Homogenization,” held at Seoul National University, June 22–24, 2005. It highlights the benefits of sharing ideas among these areas, of merging the expertise of scientists working there, and of directing interest towards challenging issues such as imaging nanoscience and biological imaging. Contributions are written by prominent experts and are of interest to researchers and graduate students interested in partial differential equations and applications.

Graduate students and research mathematicians interested in partial differential equations and applications to inverse problems, multi-scale analysis and homogenization.

• Articles
• Habib Ammari and Hyeonbae Kang - Generalized polarization tensors, inverse conductivity problems, and dilute composite materials: a review [ MR 2262349 ]
• Yves Capdeboscq and Hyeonbae Kang - Improved bounds on the polarization tensor for thick domains [ MR 2262350 ]
• Hyeonbae Kang and Graeme W. Milton - On conjectures of Polya-Szegő and Eshelby [ MR 2262351 ]
• Kenji Houzaki, Naoshi Nishimura and Yoshihiro Otani - An FMM for periodic rigid-inclusion problems and its application to homogenisation [ MR 2262352 ]
• H. Cheng, W. Crutchfield, Z. Gimbutas, L. Greengard, J. Huang, V. Rokhlin, N. Yarvin and J. Zhao - Remarks on the implementation of the wideband FMM for the Helmholtz equation in two dimensions [ MR 2262353 ]
• Tom Hou, Danping Yang and Hongyu Ran - Multiscale computation of isotropic homogeneous turbulent flow [ MR 2262354 ]
• Nathan Albin and Andrej Cherkaev - Optimality conditions on fields in microstructures and controllable differential schemes [ MR 2262355 ]
• Mathias Fink - Time-reversal acoustics [ MR 2262356 ]
• George Dassios - What is recoverable in the inverse magnetoencephalography problem? [ MR 2262357 ]
• J. J. Liu, H. C. Pyo, J. K. Seo and E. J. Woo - Convergence properties and stability issues in MREIT algorithm [ MR 2262358 ]
• Gen Nakamura, Gunther Uhlmann and Jenn-Nan Wang - Oscillating-decaying solutions for elliptic systems [ MR 2262359 ]
• Masaru Ikehata - Stroh eigenvalues and identification of discontinuity in an anisotropic elastic material [ MR 2262360 ]
• Gen Nakamura, Roland Potthast and Mourad Sini - A comparative study between some non-iterative methods for the inverse scattering [ MR 2262361 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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