**Contemporary Mathematics**

Volume: 408;
2006;
265 pp;
Softcover

MSC: Primary 35; 45; 65; 78;

Print ISBN: 978-0-8218-3968-3

Product Code: CONM/408

List Price: $75.00

Individual Member Price: $60.00

**Electronic ISBN: 978-0-8218-7998-6
Product Code: CONM/408.E**

List Price: $75.00

Individual Member Price: $60.00

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

Share this page *Edited by *
*Habib Ammari; Hyeonbae Kang*

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.

#### Table of Contents

# Table of Contents

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

- Contents v6 free
- Preface vii8 free
- Generalized polarization tensors, inverse conductivity problems, and dilute composite materials: A review 110 free
- On conjectures of Polya-Szegö and Eshelby 7584
- An FMM for periodic rigid-inclusion problems and its application to homogenisation 8190
- Remarks on the implementation of the wideband FMM for the Helmholtz equation in two dimensions 99108
- Multiscale computation of isotropic homogeneous turbulent flow 111120
- Optimality conditions on fields in microstructures and controllable differential schemes 137146
- Time-reversal acoustics 151160
- What is recoverable in the inverse magnetoencephalography problem? 181190
- Convergence properties and stability issues in MREIT algorithm 201210
- Oscillating-decaying solutions for elliptic systems 219228
- Stroh eigenvalues and identification of discontinuity in an anisotropic elastic material 231240

#### Readership

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