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


Boundary conditions for wave equation $u_{tt} - u_{xx} = f$


Factorization of its Green's operator
(blue +, red -)

In the project Symbolic Functional Analysis, we aim at developing an algebraic theory and suitable algorithmic tools for operators that typically occur in analysis, e.g. differerential / integral / boundary operators. Their algebraic features are captured by identities describing interactions between basic operators. Modelling operators by noncommutative polynomials, Groebner basis methods can be applied.

A central topic is the symbolic treatment of boundary problems. The algebraic language of operators is used for specifying boundary problems (differential equations and boundary conditions) and solutions (Green's operators). Higher-order boundary problems are approached by factorization into lower-order subproblems with transformed boundary conditions; their Green's operators are then given by the corresponding composition.

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Internal Cooperations

People

Principal Investigator
Prof. Dr. Bruno Buchberger 9941  mail
Prof. Dr. Heinz W. Engl 9219  mail

Scientific Staff
Dr. Georg Regensburger 5230  mail
Msc. Loredana Tec 9983  mail

Publications

List of Publications.

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