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M4

M4:Recent Developments in Regularization Techniques: Theory and Applications

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.

We want to bring together experts and young researches working in this field to discuss about new results in the analysis and numerics of ill-posed problems with applications in natural sciences, engineering and finance.

Organizers:
Bernd Hofmann, TU Chemnitz, Germany,  This email address is being protected from spambots. You need JavaScript enabled to view it.
Andreas Neubauer, University of Linz, Austria,  This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers

Teresa Reginska, Institute of Mathematics, Warsaw, Poland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Regularization of ill-posed problems via regularization of their discretization

Daniel Gerth, Johannes Kepler University, Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Lifting deterministic regularization results into the stochastic setting

Steven Bürger, TU Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
On complex-valued deautoconvolution of compactly supported functions with sparse Fourier representation

Stephan Anzengruber, RICAM, Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Tikhonov regularization with weighted discrepancy term in complex deautoconvolution

Thorsten Hohage, University of Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Variational source conditions, maxisets, and conditional stability estimates

Robert Plato, University of Siegen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
The balancing principle for the numerical quadrature of first kind Volterra integral equations

Vinicius Albani, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces

Otmar Scherzer, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Generalized convergence rates results for linear inverse problems in spaces

Adrian Martin, University of Graz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Variational regularization methods for advanced magnetic resonance imaging problems

Markus Grasmair, NTNU, Norway, This email address is being protected from spambots. You need JavaScript enabled to view it.
Multiparameter sparse regularisation for unmixing problems

Andreas Neubauer, University of Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Some generalizations for Landweber iteration for nonlinear ill-posed problems in Hilbert scales

Christian Gerhards, University of Vienna, Austria This email address is being protected from spambots. You need JavaScript enabled to view it.
On the parameter choice for some joint inversion problems

Daniela Saxenhuber, University of Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Efficient reconstruction algorithms for atmospheric tomography

Jens Tepe, Saarland University, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
On a modified ART for terahertz tomography