Johannes Kepler Symposium für Mathematik

Im Rahmen des Johannes-Kepler-Symposiums für Mathematik wird Dipl.-Ing. Dr. Stefan Kindermann, Industrial Mathematics Institute, JKU Linz, am Wed, Nov. 11, 2009 um 17:15 Uhr im HS 9 einen öffentlichen Vortrag (mit anschließender Diskussion) zum Thema "Regularization of Inverse Problems: Development and Analysis of Problem-adapted Methods" halten, zu dem die Veranstalter des Symposiums,

O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, und
die ÖMG (Österreichische Mathematische Gesellschaft)

hiermit herzlich einladen.

Series B - Mathematical Colloquium:

The intention is to present new mathematical results for an audience interested in general mathematics.

Regularization of Inverse Problems: Development and Analysis of Problem-adapted Methods

Inverse Problems are concerned with determining causes for a desired or observed effect. Most of the inverse problems in practice are ill-posed, -- the solution does not depend continuously on the data, that's why some kind of regularization has to be used to compute a reasonable solution. Although, a theory of ''general purpose'' regularization is well developed by now (at least for linear problems in Hilbert spaces), an improvement or new insight can always be gained by adapting well-known methods to a certain class of problems.

In this talk we present new ideas and new method for inverse problems from different fields, where a special structure of a problem or a solution can be exploited. We present some results in the theory and application of regularization of problems with bounded variation penalization, stochastic and dynamic inverse problems and on noise free parameter choice rules. The applications range from image processing, crystallization processes, financial mathematics to electric circuits.