Overview
- 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
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 328)
Included in the following conference series:
Conference proceedings info: CIRM 2019.
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Table of contents (9 papers)
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Front Matter
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Mathematical and Numerical Approaches for Multi-Wave Inverse Problems
Keywords
About this book
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.
Editors and Affiliations
About the editors
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.
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
DOI: https://doi.org/10.1007/978-3-030-48634-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-48633-4Published: 01 July 2020
eBook ISBN: 978-3-030-48634-1Published: 30 June 2020
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: VII, 142
Number of Illustrations: 5 b/w illustrations, 24 illustrations in colour
Topics: Mathematical Applications in the Physical Sciences, Mathematical Modeling and Industrial Mathematics, Numerical Analysis, Difference and Functional Equations, Special Functions