Spectral, Combinatorial, and Probabilistic Methods in Analyzing and Visualizing Vector Fields and Their Associated Flows

In this thesis, we introduce several tools, each coming from a different branch of mathematics, for analyzing real vector fields and their associated flows. Beginning with a discussion about generalized vector field decompositions, that mainly have been derived from the classical Helmholtz-Hodge-dec...

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Bibliographic Details
Main Author: Reich, Wieland
Other Authors: Universität Leipzig, Fakultät für Mathematik und Informatik
Format: Doctoral Thesis
Language:English
Published: Universitätsbibliothek Leipzig 2017
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-222643
http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-222643
http://www.qucosa.de/fileadmin/data/qucosa/documents/22264/main.pdf