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Springer Proceedings in Mathematics & Statistics

Mathematical and Numerical Approaches for Multi-Wave Inverse Problems

CIRM, Marseille, France, April 1–5, 2019

Editors: Beilina, L., Bergounioux, M., Cristofol, M., Da Silva, A., Litman, A. (Eds.)

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  • Highlights state-of-the-art tools for the identification and reconstruction of unknown coefficients, control of coupled phenomena, and regularization
  • Gathers papers from a diverse mix of fields, so as to promote the exchange of ideas on possible improvements and cross-fertilization
  • Shares valuable insights on the practical implementation of algorithms and co-design
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About this book

This proceedings volume gathers peer-reviewed, selected papers presented at the “Mathematical and Numerical Approaches for Multi-Wave Inverse Problems” conference at the Centre Internacional de Rencontres Mathématiques (CIRM) in Marseille, France, in April 2019. It brings the latest research into new, reliable theoretical approaches and numerical techniques for solving nonlinear and inverse problems arising in multi-wave and hybrid systems.
Multi-wave inverse problems have a wide range of applications in acoustics, electromagnetics, optics, medical imaging, and geophysics, to name but a few. In turn, it is well known that inverse problems are both nonlinear and ill-posed: two factors that pose major challenges for the development of new numerical methods for solving these problems, which are discussed in detail.
These papers will be of interest to all researchers and graduate students working in the fields of nonlinear and inverse problems and its applications.

About the authors

Larisa Beilina is a Professor of Applied Mathematics at the University of Gothenburg, Sweden. She holds a PhD in Mathematics (2003) from Chalmers University of Technology, and has co-authored and co-edited several books on inverse problems and related fields, including “Inverse Problems and Applications” (ISBN 978-3-319-12498-8), published by Springer. Her main research achievements are in the solution of coefficient inverse problems using an adaptive finite element method for wave propagation and electromagnetics. 
Maïtine Bergounioux is an Emeritus Professor at the University of Orléans, France. She holds a PhD in Applied Mathematics (1985) from the University of Lille, France, and the title of Habilitation (1993) from the University of Orléans. She has authored and edited several books, including “Introduction au traitement mathématique des images – méthodes deterministes” (ISBN 978-3-662-46538-7) and “Mathematical Image Processing” (ISBN 978-3-642-19603-4), both published with Springer. 
Michel Cristofol is a Professor at Aix-Marseille University, France. He completed his PhD in Mathematics (1998) at the University of Provence, France and his Habilitation (2011) at Aix-Marseille University.  His research interests include partial differential equations, inverse problems on hybrid media, and linear and non-linear parabolic systems.
Anabela Da Silva is a CNRS researcher at the Institut Fresnel, France. She holds a PhD in Optics and Photonics (2001) from the University Pierre et Maris Curie, Paris, France, and the title of Habilitation (2013) from Aix-Marseille University, France. Her research interests include the development of optical-based and hybrid biomedical imaging systems, modeling of light propagation through biological tissues with the Radiative Transport Equation, multiphysics modeling, and associated inverse problem resolution methods.
Amelie Litman is a CNRS researcher at the Institut Fresnel, France. She holds a PhD in Applied Mathematics (1997) from the University of Paris Sud, France, and the title of Habilitation (2009) from the University of Provence, France. Her research interests include inverse problems, nonlinear optimization algorithms and electromagnetic scattering. 

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 117,69 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-48634-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 139,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-48633-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical and Numerical Approaches for Multi-Wave Inverse Problems
Book Subtitle
CIRM, Marseille, France, April 1–5, 2019
Editors
  • Larisa Beilina
  • Maïtine Bergounioux
  • Michel Cristofol
  • Anabela Da Silva
  • Amelie Litman
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
328
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-48634-1
DOI
10.1007/978-3-030-48634-1
Hardcover ISBN
978-3-030-48633-4
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VII, 142
Number of Illustrations
5 b/w illustrations, 24 illustrations in colour
Topics

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