The SFB program expired on September 30, 2008. For the link to the successor project click DK Computational Mathematics
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People

Abstract


In computer aided geometric design (cagd) algebraic curves and surfaces play an essential role in modeling physical and virtual objects. The main goal of the project is the improvement and/or perfection of existing methods and the derivation of new methods for designing, manipulating, and visualizing algebraic curves and surfaces. Algebraic curves and surfaces can be represented in different ways, e.g. implicitly by a defining polynomial equation, parametrically by rational functions, or locally by Puiseux series or places. Every one of these representations has its own particular advantages, and so we need to have efficient algorithms for changing representations.

In the project we also investigate symmetries of partial differential equations, in particular 2nd order PDEs. A full classification of the symmetry groups of such a class of differential equations allows to determine many qualitative properties of the solutions.

Objectives

People

Principal Investigator
Prof. Dr. Franz Winkler 9943  mail

Scientific Staff
Dr. Elena Kartaschova 9929  
Dr. Ekaterina Shemyahova 9950  

Publications

List of Publications.

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SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund