Project Details
GRK 1100: Modelling, Analysis and Simulation in Economathematics
Subject Area
Mathematics
Term
from 2005 to 2014
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 453162
Analysis, evaluation, management and control of highly complex systems, products and processes are central aspects of all economic actions. Economathematics offers appropriate tools for modelling, analysing and simulating these aspects. The aim of this Research Training Group is to treat questions relevant for practice in cooperation with practitioners and economists in an integrative manner.
A typical project will be designed around questions arising from concrete practical applications and the problem will be modelled, analysed and solved mathematically. These questions will be developed together with our partners from outside the University (companies of finance and insurance). Based on the mathematical solution, numerical, stochastical and computer science tools will be developed and applied to the original questions. The main focus is the development of new and innovative mathematical concepts together with their practical implementation. A typical mathematical solution will lead to an improved model whose numerical or stochastical simulation will allow a better understanding of the underlying question.
By restricting the economical questions to a core area of economathematics, namely quantitative finance and insurance we make use of existing application oriented areas of research of our faculty. Moreover, the Research Training Group is interdisciplinary by involving divisions of the University of Ulm from the areas mathematics, economics and computer science. The proposed areas of research stipulate interdisciplinary research activities between the involved scientists within the faculty as well as with institutions outside the university that cooperate with the Research Training Group.
One further aim of the Research Training Group is to provide an opportunity of earning a doctorate to especially skilled postgraduates. These dissertations are integrated in a continuous concept of research and study, which holds numerous international connections. Furthermore, there will be a mandatory workshop within the Research Training Group each year. During these workshops teams of graduate students will be assigned to work under the guidance of scientists and practitioners on practical problems in form of case studies. Obligatory exchange visits of the graduate students are planned, too.
A typical project will be designed around questions arising from concrete practical applications and the problem will be modelled, analysed and solved mathematically. These questions will be developed together with our partners from outside the University (companies of finance and insurance). Based on the mathematical solution, numerical, stochastical and computer science tools will be developed and applied to the original questions. The main focus is the development of new and innovative mathematical concepts together with their practical implementation. A typical mathematical solution will lead to an improved model whose numerical or stochastical simulation will allow a better understanding of the underlying question.
By restricting the economical questions to a core area of economathematics, namely quantitative finance and insurance we make use of existing application oriented areas of research of our faculty. Moreover, the Research Training Group is interdisciplinary by involving divisions of the University of Ulm from the areas mathematics, economics and computer science. The proposed areas of research stipulate interdisciplinary research activities between the involved scientists within the faculty as well as with institutions outside the university that cooperate with the Research Training Group.
One further aim of the Research Training Group is to provide an opportunity of earning a doctorate to especially skilled postgraduates. These dissertations are integrated in a continuous concept of research and study, which holds numerous international connections. Furthermore, there will be a mandatory workshop within the Research Training Group each year. During these workshops teams of graduate students will be assigned to work under the guidance of scientists and practitioners on practical problems in form of case studies. Obligatory exchange visits of the graduate students are planned, too.
DFG Programme
Research Training Groups
Applicant Institution
Universität Ulm
Spokesperson
Professor Dr. Karsten Urban
Participating Researchers
Professor Dr. Wolfgang Arendt; Professor Dr. Rüdiger Kiesel; Professor Dr. Gunter Löffler; Professor Dr. Ulrich Rieder; Professor Dr. Volker Schmidt; Professor Dr. Franz Schweiggert; Professor Dr. Ulrich Stadtmüller; Professor Dr. Paul Wentges; Professor Dr. Hans-Joachim Zwiesler