TY  - JOUR
A1  - Bialonski, Stephan
A1  - Horstmann, Marie-Therese
A1  - Lehnertz, Klaus
T1  - From brain to earth and climate systems: Small-world interaction networks or not?
JF  - Chaos: An Interdisciplinary Journal of Nonlinear Science
N2  - We consider recent reports on small-world topologies of interaction networks derived from the dynamics of spatially extended systems that are investigated in diverse scientific fields such as neurosciences, geophysics, or meteorology. With numerical simulations that mimic typical experimental situations, we have identified an important constraint when characterizing such networks: indications of a small-world topology can be expected solely due to the spatial sampling of the system along with the commonly used time series analysis based approaches to network characterization.
Y1  - 2010
U6  - https://doi.org/10.1063/1.3360561
SN  - 1089-7682
VL  - 20
IS  - 1
PB  - AIP Publishing
CY  - Melville, NY
ER  - 
TY  - JOUR
A1  - Bäcker, Matthias
A1  - Poghossian, Arshak
A1  - Schöning, Michael Josef
A1  - Schnitzler, Thomas
A1  - Biselli, Manfred
A1  - Zang, Werner
A1  - Wagner, P.
T1  - Entwicklung eines modularen festkörperbasierten Sensorsystems für die Überwachung von Zellkulturfermentationen
JF  - Sensoren und Messsysteme 2010 [Elektronische Ressource] : Vorträge der 15. ITG/GMA-Fachtagung vom 18. bis 19. Mai 2010 in Nürnberg / Informationstechnische Gesellschaft im VDE (ITG); VDI/VDE-Gesellschaft Mess- und Automatisierungstechnik (GMA)
Y1  - 2010
SN  - 978-3-8007-3260-9
N1  - Fachtagung Sensoren und Messsysteme 15, 2010, Nürnberg ; Gesellschaft Mess- und Automatisierungstechnik
SP  - 688
EP  - 698
PB  - VDE Verlag
CY  - Berlin
ER  - 
TY  - JOUR
A1  - Grajewski, Matthias
A1  - Köster, Michael
A1  - Turek, Stefam
T1  - Numerical analysis and implementational aspects of a new multilevel grid deformation method
JF  - Applied Numerical Mathematics
N2  - Recently, we introduced and mathematically analysed a new method for grid deformation (Grajewski et al., 2009) [15] we call basic deformation method (BDM) here. It generalises the method proposed by Liao et al. (Bochev et al., 1996; Cai et al., 2004; Liao and Anderson, 1992) [4], [6], [20]. In this article, we employ the BDM as core of a new multilevel deformation method (MDM) which leads to vast improvements regarding robustness, accuracy and speed. We achieve this by splitting up the deformation process in a sequence of easier subproblems and by exploiting grid hierarchy. Being of optimal asymptotic complexity, we experience speed-ups up to a factor of 15 in our test cases compared to the BDM. This gives our MDM the potential for tackling large grids and time-dependent problems, where possibly the grid must be dynamically deformed once per time step according to the user's needs. Moreover, we elaborate on implementational aspects, in particular efficient grid searching, which is a key ingredient of the BDM.
Y1  - 2010
U6  - https://doi.org/10.1016/j.apnum.2010.03.017
SN  - 0168-9274
VL  - 60
IS  - 8
SP  - 767
EP  - 781
PB  - Elsevier
CY  - Amsterdam
ER  -