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The Erwin Schroedinger Institute for Mathematical Physics

Theoretical and applied computational inverse problems

This two-week workshop is concerned with recent developments in inverse problems theory and applications. The three up-to-date research topics that we focus on in this workshop are: 

a) Hybrid inverse problems, where the goal is to identify parameters using coupled physics experiments. The catch of these techniques is that excitation (illumination) is converted inside the investigated medium into energy, which provides a secondary source, which can be used for additional parameter identification. The prime examples in this field are Photoacoustics and coupled magnetic resonance imaging. The mathematical challenges in coupled physics imaging are mathematical modeling, asymptotic analysis, and computational solutions.

b) Imaging in Random Media: There the goal is to taking into account random fluctuations in the background medium when solving inverse problems.

c) Computational inverse problems: The inherent instability of inverse problems requires appropriate computational solutions, for direct inversion or appropriate imaging techniques. The later can be modeled in different ways to provide appropriate access to imaging parameters by asymptotic analysis or indirect imaging data. Direct inversion can be performed with regularization techniques, iterative or variational.

The workshop takes place from May 5 - 16, 2014.

  • The first week gives tutorials by leading experts in the field. 
  • The second week is a regular workshop. 

 

Workshop Schedule Week 1 (pdf), Schedule Week 2 (pdf), Booklet/Abstracts (pdf, 36 pages)

At a glance

Type: Workshop
When: May 05, 2014 to
May 16, 2014
Where: ESI, Boltzmann Lecture Hall
Organizers: Liliana Borcea (U of Michigan), Otmar Scherzer (U Vienna), John C. Schotland (U of Michigan)
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