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Presentation Details

Eigenmodes for nonlinear operators


Thursday, 12 Oct 2017; 11:50 - 12:10 in room 7.12

In Session:
MS03-1: Challenges of Current and Emerging Applications for High Performance Computing (Show complete Mini Symposium)
Thursday, 12 Oct 2017; 10:30 - 12:30 in room 7.12
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1st and presenting Author
Uwe Küster
Numerics
High Performance Computing Center Stuttgart
Stuttgart, Germany
2nd Author
Ralf Schneider
Numerical Methods & Libraries
High Performance Computing Center Stuttgart
Stuttgart, Germany
3rd Author
Andreas Ruopp
High Performance Computing Center Stuttgart
Stuttgart, Germany

Micro Abstract:
Even if spectral analysis seems to be restricted to linear operators, it turns out that it is also applicable to nonlinear operators by turning them linear by embedding these in a much larger space and analyzing the Koopman operator. Spectral analysis will be possible but in an infinite dimensional space. We show a numerical approach, which allows to separate different parts of instationary data in a time vanishing part and a remaining part. We discuss implications for calculation and IO.

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