@article{GrajewskiKoesterTurek2009, author = {Grajewski, Matthias and K{\"o}ster, Michael and Turek, Stefan}, title = {Mathematical and Numerical Analysis of a Robust and Efficient Grid Deformation Method in the Finite Element Context}, series = {SIAM Journal on Scientific Computing}, volume = {31}, journal = {SIAM Journal on Scientific Computing}, number = {2}, publisher = {Society for Industrial and Applied Mathematics}, address = {Philadelphia, Pa.}, doi = {10.1137/050639387}, pages = {1539 -- 1557}, year = {2009}, language = {en} } @article{StaatBallmann1989, author = {Staat, Manfred and Ballmann, J.}, title = {Zur Problematik tensorieller Verallgemeinerungen einachsiger nichtlinearer Materialgesetze}, series = {Zeitschrift f{\"u}r angewandte Mathematik und Mechanik : ZAMM. 69 (1989), H. 2}, journal = {Zeitschrift f{\"u}r angewandte Mathematik und Mechanik : ZAMM. 69 (1989), H. 2}, isbn = {0946-8463}, doi = {10.1515/9783112553169-006}, pages = {73 -- 81}, year = {1989}, language = {de} } @article{GrajewskiKoesterTurek2010, author = {Grajewski, Matthias and K{\"o}ster, Michael and Turek, Stefam}, title = {Numerical analysis and implementational aspects of a new multilevel grid deformation method}, series = {Applied Numerical Mathematics}, volume = {60}, journal = {Applied Numerical Mathematics}, number = {8}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0168-9274}, doi = {10.1016/j.apnum.2010.03.017}, pages = {767 -- 781}, year = {2010}, abstract = {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.}, language = {en} } @article{Stulpe2014, author = {Stulpe, Werner}, title = {From the attempt of certain classical reformulations of quantum mechanics to quasi-probability representations}, series = {Journal of Mathematical Physics}, volume = {55}, journal = {Journal of Mathematical Physics}, number = {1}, publisher = {AIP Publishing}, address = {College Park, Md.}, issn = {222-488}, doi = {10.1063/1.4861939}, pages = {Artikel 012109}, year = {2014}, abstract = {The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is revisited, and its limitation in view of a classical reformulation of the statistical scheme of quantum mechanics is discussed. In particular, on the basis of a theorem concerning a non-denseness property of a set of coexistent effects, it is shown that an injective classical embedding of the quantum states cannot be supplemented by an at least approximate classical description of the quantum mechanical effects. As an alternative approach, the concept of quasi-probability representations of quantum mechanics is considered.}, language = {en} } @article{Staat1995, author = {Staat, Manfred}, title = {Reliability of an HTR-module primary circuit pressure boundary Influences, sensitivity, and comparison with a PWR}, series = {Nuclear Engineering and Design. 158 (1995), H. 2-3}, journal = {Nuclear Engineering and Design. 158 (1995), H. 2-3}, isbn = {0029-5493}, pages = {333 -- 340}, year = {1995}, language = {en} } @article{Heuermann1999, author = {Heuermann, Holger}, title = {Calibration procedures with series impedances and unknown lines simplify on-wafer measurements}, series = {IEEE transactions on microwave theory and techniques : MTT ; a publication of the IEEE Microwave Theory and Techniques Society. 47 (1999), H. 1}, journal = {IEEE transactions on microwave theory and techniques : MTT ; a publication of the IEEE Microwave Theory and Techniques Society. 47 (1999), H. 1}, isbn = {0018-9480}, pages = {1 -- 5}, year = {1999}, language = {en} } @article{HeuermannSchiek1995, author = {Heuermann, Holger and Schiek, B.}, title = {Error corrected impedance measurements with a network analyzer}, series = {IEEE transactions on instrumentation and measurement : IM / Institute of Electrical and Electronics Engineers, Instrumentation and Measurement Group. 44 (1995), H. 2}, journal = {IEEE transactions on instrumentation and measurement : IM / Institute of Electrical and Electronics Engineers, Instrumentation and Measurement Group. 44 (1995), H. 2}, isbn = {0018-9456}, pages = {295 -- 299}, year = {1995}, language = {en} } @article{Stulpe1994, author = {Stulpe, Werner}, title = {Some Remarks on Classical Representations of Quantum Mechanics}, series = {Foundations of Physics . 24 (1994), H. 7}, journal = {Foundations of Physics . 24 (1994), H. 7}, isbn = {1572-9516}, pages = {1089 -- 1094}, year = {1994}, language = {en} } @article{WolfSimonSchlick1998, author = {Wolf, Martin R. and Simon, S. and Schlick, Christopher}, title = {Qualitative and Quantitative Analysis of Cooperation / Wolf, M. ; Simon, S. ; Schlick, C.}, series = {Proceedings : May 26 - 29, 1998, Cannes (France) = Actes : 26 - 29 mai 1998 / INRIA, Institut National de Recherche en Informatique et en Automatique, Unit{\´e} de recherche ... F. Darses ..., eds}, journal = {Proceedings : May 26 - 29, 1998, Cannes (France) = Actes : 26 - 29 mai 1998 / INRIA, Institut National de Recherche en Informatique et en Automatique, Unit{\´e} de recherche ... F. Darses ..., eds}, publisher = {-}, address = {Cannes}, pages = {1 -- 5}, year = {1998}, language = {en} } @article{KuhnertBialonskiNoenningetal.2013, author = {Kuhnert, Marie-Therese and Bialonski, Stephan and Noenning, Nina and Mai, Heinke and Hinrichs, Hermann and Helmstaedter, Christoph and Lehnertz, Klaus}, title = {Incidental and intentional learning of verbal episodic material differentially modifies functional brain networks}, series = {Plos one}, volume = {8}, journal = {Plos one}, number = {11}, publisher = {PLOS}, address = {San Francisco}, doi = {10.1371/journal.pone.0080273}, pages = {e80273}, year = {2013}, abstract = {Learning- and memory-related processes are thought to result from dynamic interactions in large-scale brain networks that include lateral and mesial structures of the temporal lobes. We investigate the impact of incidental and intentional learning of verbal episodic material on functional brain networks that we derive from scalp-EEG recorded continuously from 33 subjects during a neuropsychological test schedule. Analyzing the networks' global statistical properties we observe that intentional but not incidental learning leads to a significantly increased clustering coefficient, and the average shortest path length remains unaffected. Moreover, network modifications correlate with subsequent recall performance: the more pronounced the modifications of the clustering coefficient, the higher the recall performance. Our findings provide novel insights into the relationship between topological aspects of functional brain networks and higher cognitive functions.}, language = {en} }