@article{MulhernBialonskiKantz2015, author = {Mulhern, Colm and Bialonski, Stephan and Kantz, Holger}, title = {Extreme events due to localization of energy}, series = {Physical Review E}, volume = {91}, journal = {Physical Review E}, number = {1}, issn = {2470-0053}, doi = {10.1103/PhysRevE.91.012918}, pages = {012918}, year = {2015}, language = {en} } @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{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{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} } @article{Laack2013, author = {Laack, Walter van}, title = {Ist der Tod das Ende? In: Sterben - wie f{\"u}hlt sich das an / Ines Elsenhans}, series = {Via medici : Fachmagazin f{\"u}r junge Mediziner}, volume = {Vol. 18}, journal = {Via medici : Fachmagazin f{\"u}r junge Mediziner}, number = {Ausg. 5}, publisher = {Thieme}, address = {Stuttgart}, issn = {0949-2488}, pages = {38}, year = {2013}, language = {de} } @book{DigelZhubanovaAkimbekov2012, author = {Digel, Ilya and Zhubanova, Azhar Ahmetovna and Akimbekov, Nuraly S.}, title = {Visual Virology}, address = {Almaty}, isbn = {978-601-247-298-1}, pages = {144 S. : zahlr. Ill.}, year = {2012}, language = {en} } @article{LaackAlbrecht1987, author = {Laack, Walter van and Albrecht, T.}, title = {Ultraschalltherapie in der Praxis}, series = {ZFA - Zeitschrift f{\"u}r Allgemeinmedizin}, volume = {63}, journal = {ZFA - Zeitschrift f{\"u}r Allgemeinmedizin}, number = {19}, isbn = {0341-9835}, pages = {605 -- 608}, year = {1987}, language = {de} } @article{BialonskiWendlerLehnertz2011, author = {Bialonski, Stephan and Wendler, Martin and Lehnertz, Klaus}, title = {Unraveling spurious properties of interaction networks with tailored random networks}, series = {Plos one}, volume = {6}, journal = {Plos one}, number = {8}, publisher = {Plos}, address = {San Francisco}, doi = {10.1371/journal.pone.0022826}, pages = {e22826}, year = {2011}, abstract = {We investigate interaction networks that we derive from multivariate time series with methods frequently employed in diverse scientific fields such as biology, quantitative finance, physics, earth and climate sciences, and the neurosciences. Mimicking experimental situations, we generate time series with finite length and varying frequency content but from independent stochastic processes. Using the correlation coefficient and the maximum cross-correlation, we estimate interdependencies between these time series. With clustering coefficient and average shortest path length, we observe unweighted interaction networks, derived via thresholding the values of interdependence, to possess non-trivial topologies as compared to Erd{\"o}s-R{\´e}nyi networks, which would indicate small-world characteristics. These topologies reflect the mostly unavoidable finiteness of the data, which limits the reliability of typically used estimators of signal interdependence. We propose random networks that are tailored to the way interaction networks are derived from empirical data. Through an exemplary investigation of multichannel electroencephalographic recordings of epileptic seizures - known for their complex spatial and temporal dynamics - we show that such random networks help to distinguish network properties of interdependence structures related to seizure dynamics from those spuriously induced by the applied methods of analysis.}, language = {en} } @article{AyalaHarrisKleefeld2024, author = {Ayala, Rafael Ceja and Harris, Isaac and Kleefeld, Andreas}, title = {Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary}, series = {Inverse Problems and Imaging}, volume = {18}, journal = {Inverse Problems and Imaging}, number = {3}, publisher = {AIMS}, address = {Springfield}, issn = {1930-8337}, doi = {10.3934/ipi.2023051}, pages = {708 -- 729}, year = {2024}, abstract = {In this paper, we consider the inverse shape problem of recovering isotropic scatterers with a conductive boundary condition. Here, we assume that the measured far-field data is known at a fixed wave number. Motivated by recent work, we study a new direct sampling indicator based on the Landweber iteration and the factorization method. Therefore, we prove the connection between these reconstruction methods. The method studied here falls under the category of qualitative reconstruction methods where an imaging function is used to recover the absorbing scatterer. We prove stability of our new imaging function as well as derive a discrepancy principle for recovering the regularization parameter. The theoretical results are verified with numerical examples to show how the reconstruction performs by the new Landweber direct sampling method.}, language = {en} } @inproceedings{SavitskayaKistaubayevaAkimbekovetal.2013, author = {Savitskaya, Irina S. and Kistaubayeva, Aida S. and Akimbekov, Nuraly S. and Digel, Ilya and Zhubanova, Azhar A.}, title = {Performance of Bio-Composite Carbonized Materials in Probiotic Applications}, series = {World Academy of Science, Engineering and Technology International Journal of Biotechnology and Bioengineering}, volume = {7}, booktitle = {World Academy of Science, Engineering and Technology International Journal of Biotechnology and Bioengineering}, number = {7}, pages = {685 -- 689}, year = {2013}, language = {en} } @inproceedings{FrotscherRaatschenStaat2012, author = {Frotscher, Ralf and Raatschen, Hans-J{\"u}rgen and Staat, Manfred}, title = {Application of an edge-based smoothed finite element method on geometrically non-linear plates of non-linear material}, series = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)}, booktitle = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)}, editor = {Eberhardsteiner, J.}, year = {2012}, language = {en} } @incollection{Laack2020, author = {Laack, Walter van}, title = {Twee Kanten van {\´e}{\´e}n Medaille}, series = {Het Geheim van Elysion : 45 Jaar Studies naar Nabij-de-Dood-Ervaringen over Bewustzijn in Liefde zonder Waarheen}, booktitle = {Het Geheim van Elysion : 45 Jaar Studies naar Nabij-de-Dood-Ervaringen over Bewustzijn in Liefde zonder Waarheen}, publisher = {Van Warven}, address = {Kampen}, isbn = {978-94-93175-44-0}, pages = {97 -- 105}, year = {2020}, language = {nl} } @article{BialonskiAnsmannKantz2015, author = {Bialonski, Stephan and Ansmann, Gerrit and Kantz, Holger}, title = {Data-driven prediction and prevention of extreme events in a spatially extended excitable system}, series = {Physical Review E}, volume = {92}, journal = {Physical Review E}, number = {4}, issn = {2470-0053}, doi = {10.1103/PhysRevE.92.042910}, pages = {042910}, year = {2015}, language = {en} } @article{Staat1991, author = {Staat, Manfred}, title = {Versagenswahrscheinlichkeit der Prim{\"a}rkreisdruckumschließung eines HTR-Moduls zur Prozeßw{\"a}rmegewinnung unter St{\"o}rfallbedingungen bei verschiedenen Versagensmoden}, year = {1991}, language = {de} } @article{BreussKleefeld2020, author = {Breuß, Michael and Kleefeld, Andreas}, title = {Implicit monotone difference methods for scalar conservation laws with source terms}, series = {Acta Mathematica Vietnamica}, volume = {45}, journal = {Acta Mathematica Vietnamica}, publisher = {Springer Singapore}, address = {Singapore}, issn = {2315-4144}, doi = {10.1007/s40306-019-00354-1}, pages = {709 -- 738}, year = {2020}, abstract = {In this article, a concept of implicit methods for scalar conservation laws in one or more spatial dimensions allowing also for source terms of various types is presented. This material is a significant extension of previous work of the first author (Breuß SIAM J. Numer. Anal. 43(3), 970-986 2005). Implicit notions are developed that are centered around a monotonicity criterion. We demonstrate a connection between a numerical scheme and a discrete entropy inequality, which is based on a classical approach by Crandall and Majda. Additionally, three implicit methods are investigated using the developed notions. Next, we conduct a convergence proof which is not based on a classical compactness argument. Finally, the theoretical results are confirmed by various numerical tests.}, language = {en} } @article{AllefeldBialonski2007, author = {Allefeld, Carsten and Bialonski, Stephan}, title = {Detecting synchronization clusters in multivariate time series via coarse-graining of Markov chains}, series = {Physical Review E}, volume = {76}, journal = {Physical Review E}, number = {6}, issn = {2470-0053}, doi = {10.1103/PhysRevE.76.066207}, pages = {066207}, year = {2007}, language = {en} } @article{Laack2000, author = {Laack, Walter van}, title = {Entstehen und Funktion von Bewusstsein: Immaterielle Einflussnahme}, series = {Deutsches {\"A}rzteblatt. 97 (2000), H. 9}, journal = {Deutsches {\"A}rzteblatt. 97 (2000), H. 9}, isbn = {0012-1207}, pages = {A-540}, year = {2000}, language = {de} } @article{Laack1984, author = {Laack, Walter van}, title = {Juvenile Osteochondronekrosen - Wesen und m{\"o}gliche Entstehungsursachen}, series = {Zeitschrift f{\"u}r Allgemeinmedizin ; ZFA. 60 (1984)}, journal = {Zeitschrift f{\"u}r Allgemeinmedizin ; ZFA. 60 (1984)}, isbn = {0341-9835}, pages = {1432}, year = {1984}, language = {de} }