M2. New Trends in Regularization Theory

Due to the ill-posedness of most linear and nonlinear inverse problems one needs regularization techniques for their stable approximate solution. The theory is well developed for problems in Hilbert spaces and during the last years many results have also been achieved for problems in Banach spaces. However, there are still many challenging questions, and permanently new classes of inverse problems occur, motivated by applications from natural sciences, engineering and finance.

We want to bring together experts and young researches working in this field to discuss about new results in the analysis and numerics of inverse and ill-posed problems.

Organizers:
Bernd Hofmann, Technische Universität Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Stefan Kindermann, Johannes Kepler University Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it. 

Invited Speakers (in alphabetical order):
Christine Boeckmann, University Potsdam, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
A modified asymptotical regularization of nonlinear ill-posed problems

Herbert Egger, Technical University of Darmstadt, Germany

Daniel Gerth, Technische Universität Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

On the simultaneous estimation of noise level and solution smoothness for ill-posed problems

Christopher Hofmann, Technische Universität Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

Case studies on variational regularization with oversmoothing penalties                                                                 

Urve Kangro, University of Tartu, Estonia, This email address is being protected from spambots. You need JavaScript enabled to view it.

On regularized projection methods for ill-posed problems

Clemens Meiser, Saarland University, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

Learned Landweber Iteration for the Terahertz Tomography

Robert Plato, University Siegen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

Convergence results for nonlinear Tikhonov regularization with oversmoothing penalty

Toomas Raus, University of Tartu, Estonia, This email address is being protected from spambots. You need JavaScript enabled to view it.

Triangle area rule for choosing heuristic regularization parameter

Wensheng Zhang, Chinese Academy of Sciences, China, This email address is being protected from spambots. You need JavaScript enabled to view it.

A mixed regularization method for ill-posed problem                                                                                             

Frank Werner, University of Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

Convergence Analysis of (statistical) inverse problems under conditional stability estimates