Bernd Hofmann

Thomas Schuster

Barbara Kaltenbacher

Kamil S. Kazimierski

Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Usually the mathematical model of an inverse problem consists of an operator equation of the first kind and often the associated forward operator acts between Hilbert spaces. However, for numerous problems the reasons for using a Hilbert space setting seem to be based rather on conventions than on an approprimate and realistic model choice, so often a Banach space setting would be closer to reality. Furthermore, sparsity constraints using general Lp-norms or the BV-norm have recently become very popular. Meanwhile the most well-known methods have been investigated for linear and nonlinear operator equations in Banach spaces. Motivated by these facts the authors aim at collecting and publishing these results in a monograph.

Regularization Methods in Banach Spaces

Antonio Leitão

Jorge P. Zubelli

The Proceedings volume contains 16 contributions to the IMPA conference “New Trends in Parameter Identification for Mathematical Models”, Rio de Janeiro, Oct 30 – Nov 3, 2017, integrating the “Chemnitz Symposium on Inverse Problems on Tour”. This conference is part of the “Thematic Program on Parameter Identification in Mathematical Models” organized at IMPA in October and November 2017. One goal is to foster the scientific collaboration between mathematicians and engineers from the Brazialian, European and Asian communities. Main topics are iterative and variational regularization methods in Hilbert and Banach spaces for the stable approximate solution of ill-posed inverse problems, novel methods for parameter identification in partial differential equations, problems of tomography , solution of coupled conduction-radiation problems at high temperatures, and the statistical solution of inverse problems with applications in physics.

New Trends in Parameter Identification for Mathematical Models

Die Wirtschaft tickt immer schneller, Hektik und Druck im Arbeitsleben scheinen immer größer zu werden. Wichtigtuerei und Besserwisserei sind an der Tagesordnung. Auf den äußersten Krafteinsatz folgt oft Erschöpfung. Muss das so sein? Der Berater und Coach Bernd Hofmann schlägt einen anderen Weg vor: entspanntes Führen aus der Hängematte. Auf der Basis seiner umfassenden Erfahrungen schildert er anschaulich, wie Sie als Führungskraft eine einzigartige Arbeitsatmosphäre aus Leichtigkeit, Eleganz und Leistung schaffen können. Denn Führen bedeutet für ihn, mit Menschen so umzugehen, dass nachhaltig Kreativität, Innovationen und Leistungen entstehen - für Kunden, Mitarbeiter und das gesamte Unternehmen. Eine leichte Lektüre mit vielen nützlichen Tipps.

Bernd Hofmann

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