A Nyström method for a boundary value problem arising in unsteady water wave problems

This paper is concerned with solving numerically the Dirichlet boundary value problem for Laplace’s equation in a nonlocally perturbed half-plane. This problem arises in the simulation of classical unsteady water wave problems. The starting point for the numerical scheme is the boundary integral equation reformulation of this problem as an integral equation of the second kind on the real line in Preston et al. (2008, J. Int. Equ. Appl., 20, 121–152). We present a Nystr¨om method for numerical solution of this integral equation and show stability and convergence, and we present and analyse a numerical scheme for computing the Dirichlet-to-Neumann map, i.e., for deducing the instantaneous fluid surface velocity from the velocity potential on the surface, a key computational step in unsteady water wave simulations. In particular, we show that our numerical schemes are superalgebraically convergent if the fluid surface is infinitely smooth. The theoretical results are illustrated by numerical experiments.

A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces

We propose a Nystr¨om/product integration method for a class of second kind integral equations on the real line which arise in problems of two-dimensional scalar and elastic wave scattering by unbounded surfaces. Stability and convergence of the method is established with convergence rates dependent on the smoothness of components of the kernel. The method is applied to the problem of acoustic scattering by a sound soft one-dimensional surface which is the graph of a function f, and superalgebraic convergence is established in the case when f is infinitely smooth. Numerical results are presented illustrating this behavior for the case when f is periodic (the diffraction grating case). The Nystr¨om method for this problem is stable and convergent uniformly with respect to the period of the grating, in contrast to standard integral equation methods for diffraction gratings which fail at a countable set of grating periods.

Anton Nyström's Defense of Homosexuality

In 1919 Anton Nyström became the first person in Sweden to publish a comprehensive defense of homosexuality. He believed that its classification as a mental illness was erroneous and that Sweden's law against homosexual sex was both irrational and cruel. Nyström was a physician whose work in the medical area dealt primarily with dermatology, psychiatry and human sexuality; however he was also a prolific historian, who took a staunchly anti-Christian view in his analysis of how Christianity affected European culture, especially in the area of sexual morality. In fact, much of Nyström's medical texts dealing with human sexuality consisted of anti-Christian cultural and historical commentary. The object of this "C-uppsats" is to analyze Nyström's pamphlet, Om Homosexualitet och Hermafroditi: Belysning af Missförstådda Existenser and illustrate how its defensive structure was consistent with the pattern used by the author in his other books and articles on human sexuality. Specifically, that irrational and neurotic Christian beliefs caused both mental and physical suffering and were the source of deleterious forms of morality. Additionally, this paper will also show that the solution Nyström had for the problem of negative and erroneous attitudes towards homosexuality was to replace the sodomitic view of homosexuality with one based upon a more rational and naturalistic belief system, the basis of which could be found in the pre-Christian cultures of Europe, most especially in Greece. This new conception was to be constructed primarily out of historical example and cultural analyses. For Nyström, history writing was used both as a weapon to fight the source of negative attitudes towards homosexuality, as well as a tool that could be used to build a positive cultural model which would be beneficial for homosexuals.

Critical Issues of Centralized and Cloudified LTE-FDD Radio Access Networks

Cloudification of the Centralized-Radio Access Network (C-RAN) in which signal processing runs on general purpose processors inside virtual machines has lately received significant attention. Due to short deadlines in the LTE Frequency Division Duplex access method, processing time fluctuations introduced by the virtualization process have a deep impact on C-RAN performance. This paper evaluates bottlenecks of the OpenAirInterface (OAI is an open-source software-based implementation of LTE) cloud performance, provides feasibility studies on C-RAN execution, and introduces a cloud architecture that significantly reduces the encountered execution problems. In typical cloud environments, the OAI processing time deadlines cannot be guaranteed. Our proposed cloud architecture shows good characteristics for the OAI cloud execution. As an example, in our setup more than 99.5% processed LTE subframes reach reasonable processing deadlines close to performance of a dedicated machine.

Die Memoiren der Frau Marianne Rollberg [Rezension]

Nathan Birnbaum

Marianne von Eybenberg : zum 125. Todestag am 26. Juni 1937

Jakob Seifensieder

Herodes und Marianne

S. Lublinski

Ms.Ff.F.Stoltze 3. 144 - Brief von E. Huhn an Marianne Venator

Maria Stoltze: Gesuch an den Großherzog wegen Stoltzes Pressprozess

Marianne Brandt, Rollenbild

Signatur des Originals: S 36/F00200