TY - JOUR A1 - Reißel, Martin A1 - Herbst, Michael A1 - Gottschalk, Swen A1 - Hardelauf, Horst T1 - On preconditioning for a parallel solution of the Richards equation / Herbst, Michael ; Gottschalk, Swen ; Reißel, Martin ; Hardelauf, Horst ; Kasteel, Roy ; Javaux, Matthieu ; Vanderborght, Jan ; Vereecken, Harry JF - Computers & Geosciences. 34 (2008), H. 12 Y1 - 2008 SN - 0098-3004 SP - 1958 EP - 1963 ER - TY - JOUR A1 - Altherr, Lena A1 - Joggerst, Laura A1 - Leise, Philipp A1 - Pfetsch, Marc E. A1 - Schmitt, Andreas A1 - Wendt, Janine T1 - On obligations in the development process of resilient systems with algorithmic design methods JF - Applied Mechanics and Materials N2 - Advanced computational methods are needed both for the design of large systems and to compute high accuracy solutions. Such methods are efficient in computation, but the validation of results is very complex, and highly skilled auditors are needed to verify them. We investigate legal questions concerning obligations in the development phase, especially for technical systems developed using advanced methods. In particular, we consider methods of resilient and robust optimization. With these techniques, high performance solutions can be found, despite a high variety of input parameters. However, given the novelty of these methods, it is uncertain whether legal obligations are being met. The aim of this paper is to discuss if and how the choice of a specific computational method affects the developer’s product liability. The review of legal obligations in this paper is based on German law and focuses on the requirements that must be met during the design and development process. KW - legal obligations KW - product liability KW - design of technical systems KW - optimization KW - resilience Y1 - 2018 SN - 1662-7482 U6 - https://doi.org/10.4028/www.scientific.net/AMM.885.240 VL - 885 IS - 885 SP - 240 EP - 252 PB - Trans Tech Publications CY - Bäch ER - TY - JOUR A1 - Schuba, Marko A1 - Reichl, Peter T1 - On large-scale reliable multicast protocols / Schuba, M. ; Reichl, P. JF - 6th IEE Conference on Telecommunications Y1 - 1998 SN - 0-85296-700-4 N1 - Conf. Publ. No. 451 SP - 133 EP - 137 ER - TY - JOUR A1 - Baringhaus, Ludwig A1 - Gaigall, Daniel T1 - On Hotelling’s T² test in a special paired sample case JF - Communications in Statistics - Theory and Methods N2 - In a special paired sample case, Hotelling’s T² test based on the differences of the paired random vectors is the likelihood ratio test for testing the hypothesis that the paired random vectors have the same mean; with respect to a special group of affine linear transformations it is the uniformly most powerful invariant test for the general alternative of a difference in mean. We present an elementary straightforward proof of this result. The likelihood ratio test for testing the hypothesis that the covariance structure is of the assumed special form is derived and discussed. Applications to real data are given. KW - complete block symmetry KW - Hotelling’s T² test KW - likelihood ratio test KW - uniformly most powerful invariant test Y1 - 2017 U6 - https://doi.org/10.1080/03610926.2017.1408828 SN - 1532-415X VL - 48 IS - 2 SP - 257 EP - 267 PB - Taylor & Francis CY - London ER - TY - JOUR A1 - Stulpe, Werner A1 - Bugajski, S. A1 - Hellwig, K.-E. T1 - On Fuzzy Random Variables and Statistical Maps. Bugajski, S.; Hellwig, K.-E.; Stulpe, W. JF - Reports on Mathematical Physics. 41 (1998), H. 1 Y1 - 1998 SN - 0034-4877 SP - 1 EP - 11 ER - TY - JOUR A1 - Ahmed, Essam A1 - Reisgen, Uwe A1 - Schleser, Markus A1 - Mokrov, Oleg T1 - On formability of tailor laser welded blanks of DP/TRIP steel sheets JF - Science and technology of welding and joining N2 - This paper aims to evaluate the formability of tailor welded blanks of dual phase (DP600)/transformation induced plasticity (TRIP700) steel sheets. In this work, bead on plate butt joints of 2·5 mm DP600 and 1·2 mm TRIP700 steel sheets were performed using CO2 laser beam welding. Microhardness measurements and transverse tensile testing were carried out to characterise the welds. The formability of base metals and welds were investigated by standard Erichsen test. In a perpendicular tensile test to the weld line, all specimens were fractured at the TRIP base metal, and the strengths were somewhat higher than those of base metal. There was a significant reduction in formability caused by welding of the DP600/TRIP700 steel sheets, and the formability increased with increasing welding speed. Y1 - 2010 U6 - https://doi.org/10.1179/136217110X12731414739754 SN - 1743-2936 VL - 15 IS - 5 SP - 337 EP - 342 PB - Maney CY - Leeds ER - TY - JOUR A1 - Hellwig, Angelika A1 - Volkmann, Lutz T1 - On connectivity in graphs with given clique number JF - Journal of graph theory Y1 - 2006 SN - 03649024 ; 10970118 VL - Vol. 52 IS - Iss. 1 SP - 7 EP - 14 ER - TY - JOUR A1 - Grotendorst, Johannes T1 - On calculating the rate of linear convergence of non-linear transformed sequences JF - Proceeding SNC '11 Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation Y1 - 2011 SN - 978-1-4503-0515-0 SP - 24 EP - 33 PB - ACM CY - New York, NY ER - TY - JOUR A1 - Baringhaus, Ludwig A1 - Gaigall, Daniel T1 - On an independence test approach to the goodness-of-fit problem JF - Journal of Multivariate Analysis N2 - Let X₁,…,Xₙ be independent and identically distributed random variables with distribution F. Assuming that there are measurable functions f:R²→R and g:R²→R characterizing a family F of distributions on the Borel sets of R in the way that the random variables f(X₁,X₂),g(X₁,X₂) are independent, if and only if F∈F, we propose to treat the testing problem H:F∈F,K:F∉F by applying a consistent nonparametric independence test to the bivariate sample variables (f(Xᵢ,Xⱼ),g(Xᵢ,Xⱼ)),1⩽i,j⩽n,i≠j. A parametric bootstrap procedure needed to get critical values is shown to work. The consistency of the test is discussed. The power performance of the procedure is compared with that of the classical tests of Kolmogorov–Smirnov and Cramér–von Mises in the special cases where F is the family of gamma distributions or the family of inverse Gaussian distributions. KW - Goodness-of-fit test KW - Independence test KW - Parametric bootstrap KW - Vapnik–Čhervonenkis class KW - Gamma distribution Y1 - 2015 U6 - https://doi.org/10.1016/j.jmva.2015.05.013 SN - 0047-259X VL - 2015 IS - 140 SP - 193 EP - 208 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Ratke, Lorenz A1 - Milow, Barbara A1 - Lisinski, Susanne A1 - Hoepfner, Sandra T1 - On an effect of fine ceramic particles on the structure of aerogels JF - Microgravity science and technology Y1 - 2014 U6 - https://doi.org/10.1007/s12217-014-9380-2 SN - 0938-0108 ; 1875-0494 VL - 26 SP - 103 EP - 110 PB - Springer Nature CY - Heidelberg ER -