Control Theory Basics & Inverse Problems 📘

Advanced Instructional School on Theoretical and Numerical Aspects of Inverse Problems
URL: https://www.icts.res.in/program/IP2014

Dates: Monday 16 Jun, 2014 - Saturday 28 Jun, 2014

Description
In Inverse Problems the goal is to determine the properties of the interior of an object from the object response measured on the boundary, when the object is probed by electrical, acoustic or other means. Such problems arise in medical imaging, oil exploration, non-destructive testing and other fields. Determining the object properties corresponds to finding the non-constant coefficients of a partial differential equation (PDE) from the values, on the boundary of the region, of the solutions of the PDE. These problems may also be interpreted as the inversion of non-linear maps or transforms. The solution of these inverse problems requires harmonic analysis, PDE theory, numerical methods for PDEs, and custom designed inversion transforms and schemes.