Mathematical and Numerical Approaches for Multi-Wave Inverse Problems

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The Mathematical and Numerical Approaches for Multi-Wave Inverse Problems conference will take place at CIRM, Marseille from April 1 to April 5, 2019.

DEADLINE Pre-Registration : 31 january 2019 ! : Register Here

Description
Inverse problems have been a topic of interdisciplinary interest for many years, whether for mathematicians, applied mathematicians, physical scientists or engineers. Considerable progress has been achieved in recent years in the development of innovative ever improving solution techniques based on new theoretical tools, new approximations, as well as on new optimization techniques. In the inverse problems community, the current scientific interests are focused towards achieving better contrasted images, with higher spatial resolution and with quantitative contents, such as functional imaging in biomedical applications.

In the inverse problems community, the current scientific interests are focused towards achieving better contrasted images, with higher spatial resolution and with quantitative contents, such as functional imaging in biomedical applications. As a consequence, more and more multi-modal, multi-wave or hybrid systems are currently being proposed and/or being used routinely. Mathematically, solving these inverse problems is even more complicated because they require a coupling, that can be soft or hard, between a set of partial differential equations not necessarily of the same nature (elliptic, hyperbolic, …). This leads to problems in terms of uniqueness, stability but also in terms of control which remain still little explored. In terms of numeric, these systems of PDEs may lead to large discretized domains, with large number of degrees of freedom, which must be adapted according to the wavelength of the considered waves.

One of the main objectives of this conference will be exchange of ideas and tools between different scientific communities, specially to favor the discussions between researchers more involved in theoretical aspects of inverse problems with the ones more interested in numerical implementation of these problems. Thus, this conference aims not only to provide an assessment of the state of the art on the tools currently proposed, but to serve as a forum for interchanging ideas on possible improvements and cross-fertilization. Furthermore, this conference gathers a number of researchers of international renown strongly involved in this multi-modal applications. Hence, the conference will stimulate applying of new theoretical and numerical tools for the solution of real-life problems as well as propose new systems for their solution on the basis of theoretical understanding.

Scientific Committee
- ​Aria Abubakar (Schlumberger)
- Jérôme Le Rousseau (Université Paris-Nord)
- Vadim Markel (University of Pennsylvania)
- Masahiro Yamamoto (University of Tokyo)

Organizing Committee
- Larisa Beilina (University of Gothenburg)
- Maïtine Bergounioux (Université d’Orléans)
- Michel Cristofol (Aix-Marseille Université)
- Anabela Da Silva (CNRS/ Institut Fresnel Marseille)
​- Amélie Litman (Institut Fresnel Marseille)

More information on the official website event