Running Research and Development Projects: Difference between revisions

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Thetaris
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Incomplete markets require new statistical, analytical, and numerical methods, to cope with stochastic volatilities or jumps in the stochastic processes, e.g. These are investigated in a joint project of Universität Heidelberg (with focus on modelling, analysis and statistics), Universität Bonn (with focus on numerics) and SCCS (with focus on software development). The goal of our work in the project is to integrate newly developed methods - especially sparse grid techniques - into the framework of ThetaML, a system of [http://www.thetaris.com/22-0-Imprint.html Thetaris GmbH] that allows rapid formulation and analysis of complex financial derivatives.




[[Category:Research]]
[[Category:Research]]

Revision as of 07:03, 22 July 2008

Bavarian Graduate School of Computational Engineering

Website

Project type Elite Study Program
Funded by Elite Network of Bavaria
Begin November 2004
End November 2009
Leader Prof.Dr. Hans-Joachim Bungartz
Staff Dr. Michael Bader, Ioan Muntean, Tobias Weinzierl
Contact person Dr. Michael Bader
Co-operation partner International Master's Program Computational Mechanics (TUM)

International Master's Program Computational Engineering (U Erlangen)

Brief description

The Bavarian Graduate School of Computational Engineering is an association of the three Master programs: Computational Engineering (CE) at the University of Erlangen-Nürnberg, Computational Mechanics (COME), and Computational Science and Engineering (CSE), both at TUM. Funded by the Elitenetzwerk Bayern, the Bavarian Graduate School offers an Honours program for gifted and highly motivated students. The Honours program extends the regular Master's programs by several academic offers:

  • additional courses in the area of computational engineering, in particular block courses, and summer academies.
  • Courses and seminars on "soft skills" - like communication skills, management, leadership, etc.
  • an additional semester project closely connected to current research

Students who master the regular program with an above-average grade, and successfully finish the Honours program, as well, earn the academic degree "Master of Science with Honours".


Numerical Simulation of Fluid-Structure-Interactions on Cartesian Grids

Website


Project type Forschergruppe 493
Funded by German Research Foundation
Begin August 2003
End March 2009
Leader Prof. Dr. Hans-Joachim Bungartz, Dr. Miriam Mehl
Staff Dipl.-Geophys. Markus Brenk
Contact person Prof. Dr. Hans-Joachim Bungartz
Co-operation partner Prof.Dr. Krafczyk (Institut für Computeranwendungen im Bauingenieurwesen, TU Braunschweig)

Prof.Dr. E. Rank (Lehrstuhl für Bauinformatik, TU München)

Brief description

Im Projekt P6 der DFG-Forschergruppe 493 soll ein streng partitionierter Ansatz zur numerischen Simulation von Fluid-Struktur-Wechselwirkungen weiterentwickelt und an prototypischen und zugleich technisch relevanten Modellkonfigurationen erprobt werden. Für die Strömungsberechnungen wird der auf kartesischen Gittern arbeitende MAC-Code Nast++, entwickelt für die Behandlung zeitabhängiger laminarer Strömungen viskoser inkompressibler Fluide in veränderlichen dreidimensionalen Geometrien, weiterentwickelt und eingesetzt. Zur Berechnung der Antwort der flexiblen Strukturen bringt das Projekt P10 (Prof. Rank, Dr.-Ing. Düster) einen Löser zur strukturdynamischen Simulation in den partitionierten Ansatz ein. Nach zunächst vorzunehmenden Verbesserungen bzw. Erweiterungen am Ströungscode soll die voll transiente (implizite) Kopplung im Sinne der partitionierten Lösung realisiert und im Hinblick auf Robustheit und Stabilität untersucht und optimiert werden. Zur Validierung soll vor allem das Prinzipexperiment FLUSTRUC-A aus Projekt P4 (Prof. Durst, Dr.-Ing. Breuer, Dipl.-Ing. Lienhart) dienen. Ein weiterer Schwerpunkt der Arbeiten liegt auf der Bereitstellung einer modularen Software-Infrastruktur, die über einheitlich definierte Schnittstellen den einfachen Austausch von Komponenten gestattet und somit in der Forschergruppe beispielsweise zum Vergleich verschiedener Strukturlöser bzw. verschiedener Fluidlöser in unterschiedlichen Szenarien genutzt werden kann. Hierbei findet eine intensive Kooperation der Teilprojekte P6, P8 und P10 statt.


Modeling and valuation of financial derivatives in incomplete markets

Website

Project type BMBF support program: Mathematics for innovations in the Industrial and Service Sectors
Funded by BMBF
Begin July 2007
End June 2010
Leader Prof.Dr. Hans-Joachim Bungartz
Staff Dr. Stefan Zimmer, Dipl.-Tech. Math. Stefanie Schraufstetter, Dipl.-Inf. Dirk Pflüger
Contact person Dr. Stefan Zimmer
Co-operation partner Prof. Dr. Drs. h.c. Willi Jäger (IWR, University of Heidelberg)

Prof. Dr. Markus Reiß (Institute of Applied Mathematics, University of Heidelberg) Prof. Dr. Michael Griebel (Institute for Numerical Simulation, University of Bonn) Thetaris


Incomplete markets require new statistical, analytical, and numerical methods, to cope with stochastic volatilities or jumps in the stochastic processes, e.g. These are investigated in a joint project of Universität Heidelberg (with focus on modelling, analysis and statistics), Universität Bonn (with focus on numerics) and SCCS (with focus on software development). The goal of our work in the project is to integrate newly developed methods - especially sparse grid techniques - into the framework of ThetaML, a system of Thetaris GmbH that allows rapid formulation and analysis of complex financial derivatives.