Abstract. We study Boltzmann’s collision operator for long-range interactions, i.e. without Grad’s angular cut-off assumption. We establish a functional inequality showing that the entropy dissipation controls smoothness of the distribution function, in a precise sense. Our estimate is optimal, and gives a unified treatment of both the linear and the nonlinear cases. We also give simple and sel...

A complete set of boundary conditions for Grad’s 13 moment equations is derived from Maxwell’s boundary conditions for the Boltzmann equation. The equations are solved for plane Couette flow. The results exhibit temperature jump and slip, and agree well with DSMC calculations for Knudsen numbers Kn ≤ 0.1. Nonlinear effects lead to unphysical results at larger Knudsen numbers, and for very fast ...

Over the last decade, Convolutional Neural Network (CNN) models have been highly successful in solving complex vision based problems. However, deep models are perceived as ”black box” methods considering the lack of understanding of their internal functioning. There has been a significant recent interest to develop explainable deep learning models, and this paper is an effort in this direction....

Agile Entwicklungsvorgehen stellen den Stand der Technik bei der Entwicklung von Software und Systemen in unterschiedlichen Domänen dar. Beim Einsatz agiler Methoden wie Scrum kommt es jedoch häufiger zu Problemen, da die Einführung derartiger Methoden häufig nur aus technischer Sicht betrachtet wird. Die Berücksichtigung eines, als Voraussetzung für die nachhaltige Etablierung, kulturellen Wan...

We find general relativistic solutions of equilibrium magnetic field configurations in magnetars, extending previous results of Colaiuda et al. (2008). Our method is based on the solution of the relativistic Grad-Shafranov equation, to which Maxwell’s equations can be reduced in some limit. We obtain equilibrium solutions with the toroidal magnetic field component confined into a finite region ...

We introduce a class of numerical schemes that preserve a discrete version of vorticity in conservation laws which involve grad advection. These schemes are based on reformulating finite volume schemes in terms of vertex centered numerical potentials. The resulting potential-based schemes have a genuinely multidimensional structure. A suitable choice of potentials leads to discrete vorticity pr...

This paper is concerned with the application of principles of differential geometry in multigrid for the div-grad, curl-curl and grad-div equations. First, the discrete counterpart of the formulas for edge, face and volume elements are used to derive a sequence of a commuting edge, face and volume prolongator from an arbitrary partition of unity nodal prolongator. The implied coarse topology an...

Die Anforderungsverfolgung bringt bei der Entwicklung von Produkt-Service-Systemen (PSS) zahlreiche Herausforderungen mit sich. Gründe hierfür sind komplexe Schnittstellen zwischen den Domänen Produkt-, Softwareund Dienstleistungsentwicklung, unterschiedliche Lebenszyklen und gegenseitige Beeinflussung einzelner Komponenten, ein hoher Grad an technischer Integration sowie eine kundenindividuell...

For Stu dents En ter ing the Oklahoma State Sys tem for Higher Ed u ca tion Sum mer 2010 through Spring 2011 GEN ERAL RE QUIRE MENTS Geo graphic In for ma tion Sci ence B452 Bach e lor of Sci ence in Geo graphic In for ma tion Sci ence To tal Credit Hours . . . . . . . . . . . . . . . . . . . . . . . . 124• To tal Up per-Di vi sion Credit Hours . . . . . . . . . . . . . . . . . 48 Min i mum Re ...

In most fields within computer linguistics it is essential to have access to highquality syntactic parsing. During the previous 10-15 years great improvements have been made in development of parsing algorithms. Increasingly, the approach is to use algorithms to train the parser from annotated text samples. This report studies one of the most successful parser algorithms and explores methods of...