2 Introduction that the law of formation has been found. The corresponding direct problem is
to evaluate the sequence (an) given the law of formation. It is clear that such inverse …

In this paper we deal with Morozov's discrepancy principle as an a posteriori parameter
choice rule for Tikhonov regularization with general convex penalty terms Ψ for nonlinear …

In this paper, we consider nonlinear inverse problems where the solution is assumed to
have a sparse expansion with respect to a preassigned basis or frame. We develop a …

Due to its effect on the operation time of wind turbines, rotor imbalances of a wind turbine
have to be detected early enough. We present a method that determines inhomogeneous …

This textbook is an introduction to the subject of inverse problems with an emphasis on
practical solution methods and applications from geophysics. The treatment is …

We report on a new iterative method for regularizing a nonlinear operator equation in Hilbert
spaces. The proposed TIGRA algorithm is a combination of Tikhonov regularization and a …

Rotor imbalances of a wind turbine can cause severe damage of the turbine or its
components and thus reduce the lifespan and security of the turbine significantly. At present …

Our objective is to calculate the derivatives of data corrupted by noise. This is a challenging
task as even small amounts of noise can result in significant errors in the computation. This …

Gravity inversion, as a static potential field inversion, has inherent ambiguity with low vertical
resolution. To reduce the nonuniqueness of the inversion, it is necessary to impose the a …

This paper presents a model-based sliding mode control law for mechanical systems, which
use shape memory alloys (SMAs) as actuators. The systems under consideration are …