@INCOLLECTION{BeBuHaPrRuSpSt00,
author = {Becker, J. and B{\"{u}}rkle, D. and Happe, R.-T. and Preu{\ss}er,
T. and Rumpf, M. and Spielberg, M. and Strzodka, R.},
title = {Asspects on Data Analysis and Visualization for Complex Dynamical
Systems},
booktitle = {Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems},
publisher = {Springer},
year = {2000},
editor = {Fiedler, Bernold},
chapter = {Aspects on Data Analysis and Visualization for Complex Dynamical
Systems},
abstract = {Flow visualization is an indispensible tool for the understandig of
complex flow phenomena in computational fluid dynamics and the analysis
of dynamical systems. In this note we will present several ways for
an effective post processing of fluid flows and flows on invariant
manifolds of dynamical systems. Feature extraction techniques will
be present which reduce the informational content of large timedependent
data sets to its mainly intersesting essence. Futhermore, we present
visualization approaches which are based on partial differential
equations. Similar to the modelling of physical phenomena by partial
differential equations, in the postprocessing of data such equations
naturally arise as well. Finally, the method for the dense covering
of an invariant manifold with streamlines is outlined, which enables
us to represent the geometry of the objects, statistical information
on it, and the local flow properties at the same time.}
}