08+09S | 09W | 10S | 10W | 11S | 11W | 12S | 12W | 13S | 13W | 14S | 14W | 15S | 15W | 16S | 16W | 17S | 17W | 18S | 18W | 19S

Summer Term 2019, Doctoral School Events
2019-03-22 Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, 15:00—16:00, KFU)
Sandra Marschke (KFU, advisor W. Ring): Modeling, identification, and optimization of violin bridges

Abstract: We present a mathematical model to describe the dynamical behaviour of a violin bridge. To attain appropriate results we have to incorporate the orthotropic elastic structure of the wooden bridge into the model and to apply a sophisticated numerical concept. For this reason isogeometric mortar methods build our numerical framework, allowing us a precise description of the complex shaped domain. Based on the derived model, we introduce an inverse problem to determine material parameters of the wood and to identify sensitivities of the solution with respect to shape and material parameters.

Josef Strini (TU, advisor S. Thonhauser): On a dividend problem with random funding

Abstract: We consider a modification of the dividend maximization problem from ruin theory. Beside the classical dividend control, we introduce an additional funding opportunity into the model. The task is to maximize the difference of expected cumulated discounted dividends and total expected discounted additional funding (subject to some proportional transaction costs). For modelling dividends we use the common approach whereas for the funding opportunity we use the jump times of another independent Poisson process at which we choose an appropriate funding height. In case of exponentially distributed claims we are able to determine an explicit solution to the problem and derive an optimal strategy whose nature heavily depends on the size of the transaction costs.

2019-05-10 Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 9:30—12:00, TU)
Leonardo Alese (TU, advisor J. Wallner):
Martin Schwinzerl (KFU, advisor G. Haase):
Jana Fuchsberger (KFU, advisor G. Haase):
Junseok Oh (KFU, advisor A. Geroldinger):
2019-06-13 Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 9:30—12:00, TU)
Irene Parada (TU, advisor O. Aichholzer):