Master Studies in Industrial Mathematics in Linz

My name is Markus Pöttinger. Since November 2015 I’m a PhD student in Ronny Ramlau’s transfer group at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) in Linz.

Upon completion of my bachelor studies in technical mathematics I decided to enroll into the master studies in industrial mathematics since I was (and still am) fascinated by applying mathematical models to real-world problems motivated by industrial applications. The curriculum of the master studies at the Johannes Kepler University (JKU) in Linz includes mathematical methods for continuum mechanics, financial mathematics, stochastic processes, integral equations, inverse problems and numerical methods for PDEs.

My diploma thesis entitled ‘On the Comparison of CGNE and GMRES as Regularization Methods for Ill-Posed Problems’ mainly consists of two parts: the theoretical analysis and the numerical realization of both the CGNE and GMRES method applied to inverse problems. The main focus in the course of the thesis was to investigate the behaviour of the still not yet known convergence rates of the regularizing GMRES method, based on several integral equations. Unfortunately, so far, an obvious improvement of the convergence rates computed by the GMRES method compared with the well-known results of the CGNE method could not be confirmed.

 

My PhD research topic is based on the current project ‘Observation Based Astrophysics in the E-ELT Era’ which is concerned with the simulation and improvement of the mathematical methods developed in the previous project ‘Mathematical Algorithms and Software for ELT Adaptive Optics’.