TY - JOUR A1 - Stulpe, Werner A1 - Singer, Matthias T1 - Informational Incompleteness of the Observables Sx,Sy,Sz for Spin-1 Systems. Singer, Matthias; Stulpe, W. JF - Foundations of Physics. 20 (1990), H. 4 Y1 - 1990 SN - 1572-9516 SP - 471 EP - 472 ER - TY - JOUR A1 - Stulpe, Werner A1 - Singer, Matthias T1 - Phase-Space Representations of General Statistical Physical Theories. Singer, Matthias; Stulpe, Werner JF - Journal of Mathematical Physics. 33 (1992), H. 1 Y1 - 1992 SN - 1089-7658 SP - 131 EP - 142 ER - TY - JOUR A1 - Stulpe, Werner A1 - Singer, Matthias T1 - Some Remarks on the Determination of Quantum States by Measurements JF - Foundations of Physics Letters. 3 (1990), H. 2 Y1 - 1990 SN - 1572-9524 SP - 153 EP - 166 ER - TY - JOUR A1 - Stulpe, Werner T1 - On the Representation of Quantum Mechanics on a Classical Sample Space JF - International Journal of Theoretical Physics. 37 (1998), H. 1 Y1 - 1998 SN - 1572-9575 SP - 349 EP - 356 ER - TY - JOUR A1 - Stulpe, Werner A1 - Swat, Maciej T1 - Quantum States as Probability Measures JF - Foundations of Physics Letters. 14 (2001), H. 3 Y1 - 2001 SN - 1572-9524 SP - 285 EP - 293 ER - TY - JOUR A1 - Stulpe, Werner T1 - Conditional Expectations and Stochastic Processes in Quantum Probability JF - Information complexity and control in quantum physics : proceedings of the 4. Internat. Seminar on Mathematical Theory of Dynamical Systems and Microphysics, Udine, Sept. 4 - 13, 1985 / ed. by A. Blaquiere ... Y1 - 1987 SN - 3-211-81992-4 N1 - Courses and lectures / International Centre for Mechanical Sciences ; 294, International Seminar on Mathematical Theory of Dynamical Systems and Microphysics <4,1985, Udine> SP - 223 EP - 234 PB - Springer CY - Wien [u.a.] ER - TY - JOUR A1 - Bogoyavlenskiy, A. P. A1 - Berezin, V. E. A1 - Ogneva, A. V. A1 - Tolmacheva, V. P. A1 - Digel, Ilya A1 - Khudyakova, S. S. T1 - Immunostimulating activity of a saponin-containing extract of Saponaria officinalis JF - Voprosy virusologii Y1 - 1999 SN - 0507-4088 VL - 44 IS - 5 SP - 229 EP - 232 ER - TY - JOUR A1 - Mulhern, Colm A1 - Bialonski, Stephan A1 - Kantz, Holger T1 - Extreme events due to localization of energy JF - Physical Review E Y1 - 2015 U6 - https://doi.org/10.1103/PhysRevE.91.012918 SN - 2470-0053 VL - 91 IS - 1 SP - 012918 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 - TY - JOUR A1 - Stulpe, Werner T1 - From the attempt of certain classical reformulations of quantum mechanics to quasi-probability representations JF - Journal of Mathematical Physics N2 - 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. Y1 - 2014 U6 - https://doi.org/10.1063/1.4861939 SN - 222-488 N1 - bereits unter gleichem Titel aufgenommen bei arxiv : http://arxiv.org/pdf/1307.2314.pdf VL - 55 IS - 1 PB - AIP Publishing CY - College Park, Md. ER -