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51.
Winfried Sickel Frauke Sprengel 《Journal of Computational Analysis and Applications》1999,1(3):263-288
We investigate the order of convergence of periodic interpolation on sparse grids (blending interpolation) in the framework of tensor products of Nikol'skij–Besov spaces. To this end, we make use of the uniformity of the considered tensor norms and provide a unified approach to error estimates for the interpolation of univariate periodic functions from Nikol'skij–Besov spaces. 相似文献
52.
Winfried K. Grassmann Steve Drekic 《Methodology and Computing in Applied Probability》2008,10(1):73-83
A number of authors have recently suggested solving quasi birth-and-death (QBD) processes through the use of eigenvalue-based
methods. These methods take on a special form when there are multiple eigenvalues present. We investigate this problem in
a general setting as well as in the context of a specific preemptive priority queueing model.
相似文献
53.
54.
To describe electron localization in substitutionally random alloysA
c
B
1–c
the coherent potential approximation (CPA) is incorporated into the self-consistent theory of Anderson localization in the form developed by Vollhardt and Wölfle. Modifications of the localization theory arise from the tight-binding model with bimodal diagonal disorder of arbitrary strength. The mean-free path, correlation and localization lengths, and the zero-temperature conductivity are calculated at dimensionalityd=3. The metal-insulator transition is studied numerically for a CPA-induced band structure under semielliptical model assumptions. 相似文献
55.
56.
Winfried Just 《Journal of Mathematical Analysis and Applications》2008,348(2):620-636
It is demonstrated that a Kolmogorov-type competition model featuring species allocation and gain functions can possess multiple coexistence states. Two examples are constructed: one in which the two competing species possess rectangular allocation functions but distinct gain functions, and the other in which one species has a rectangular allocation function, the second species has a bi-rectangular allocation function, and the two species share a common gain function. In both examples, it is shown that the species nullclines may intersect multiple times within the interior of the first quadrant, thus creating both locally stable and unstable equilibrium points. These results have important applications in the study of plant competition for sunlight, in which the allocation functions describe the vertical placement of leaves for two competing species, and the gain functions represent rates of photosynthesis performed by leaves at different heights when shaded by overlying leaves belonging to either species. 相似文献
57.
Continuous electrochemical sensing is often carried out in order to track the growth of cells as an alternative to optical monitoring. Planar sensors and multi-sensor chips are applied in case of adhered growing cells, and usually introduced into lab-on-chip systems. Repeated recalibration is necessary with most chemosensors so far and this limits the operational lifetime of such lab-on-chip systems to a few days. An assembly is presented here that eliminates this disadvantage and enables the monitoring of a long-term cultivation of tissue. Cell cultures and sensor are arranged such that they can be separated or contacted at variable times without having an impact on the growth of the cells. The use of a biocompatible nano-porous membrane is especially important. A multi-well system is described where each well is supplied with a planar multi-sensor chip below the adhered cells to determine (a) pH, (b) glucose, (c) oxygen, and—optionally—impedance, for example during the cultivation of cartilage tissue. 相似文献
58.
Hans Postma Luc Amkreutz Alessandro Borella Martijn Clarijs Hans Kamermans Winfried Kockelmann Anna Paradowska Peter Schillebeeckx Dirk Visser 《Journal of Radioanalytical and Nuclear Chemistry》2010,283(3):641-652
Two neutron based techniques, neutron resonance capture analysis (NRCA) and time-of-flight neutron-diffraction (TOF-ND) have
been used to determine the elemental composition and structure of a precious and very well preserved all-metal sword from
the Bronze Age. This Buggenum sword was on loan from the National Museum of Antiquities (NMA) in Leiden (NL). NRCA and TOF-ND
experiments have been carried out at a number of more or less identical positions of the sword. The tin-bronze ratio and the
relative amounts of some minor elements (Sb, As, Ag, In) have been determined. The results of neutron diffraction measurements
showed considerable tin-segregation, and clear indications of hardening on the edges of the blade. In addition, radiographs
using Bremsstrahlung revealed the construction of the hilt–blade connection. The work was carried out at the EC Joint Research
Centre IRMM in Geel (B) and at the ISIS facility of the Rutherford Appleton Laboratory (UK). 相似文献
59.
60.
We investigate optimal linear approximations (approximation numbers) in the context of periodic Sobolev spaces Hs(Td) of fractional smoothness s>0 for various equivalent norms including the classical one. The error is always measured in L2(Td). Particular emphasis is given to the dependence of all constants on the dimension d. We capture the exact decay rate in n and the exact decay order of the constants with respect to d, which is in fact polynomial. As a consequence we observe that none of our considered approximation problems suffers from the curse of dimensionality. Surprisingly, the square integrability of all weak derivatives up to order three (classical Sobolev norm) guarantees weak tractability of the associated multivariate approximation problem. 相似文献