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In this thesis, we are interested in numerically preserving stationary solutions of balance laws. We start by developing finite volume well-balanced schemes for the system of Euler equations and the system of MHD equations with gravitational source term. Since fluid models and kinetic models are related, this leads us to investigate AP schemes for kinetic equations and their ability to preserve stationary solutions. Kinetic models typically have a stiff term, thus AP schemes are needed to capture good solutions of the model. For such kinetic models, equilibrium solutions are reached after large time. Thus we need a new technique to numerically preserve stationary solutions for AP schemes. We find a criterion for SP schemes for kinetic equations which states, that AP schemes under a particular discretization are also SP. In an attempt to mimic our result for kinetic equations in the context of fluid models, for the isentropic Euler equations we developed an AP scheme in the limit of the Mach number going to zero. Our AP scheme is proven to have a SP property under the condition that the pressure is a function of the density and the latter is obtained as a solution of an elliptic equation. The properties of the schemes we developed and its criteria are validated numerically by various test cases from the literature.
Can cultural studies attend to the problems of our globalized world? Or is this project of “engaged scholarship” too deeply rooted in the parochial terrain of the national?
This collection of essays – the first volume in the new JMU Cultural Studies publication series – attends to this vital yet difficult question. Based on joint seminars bringing together emerging scholars from Germany and India, the contributions confront “classic texts” from US-American, British, and Indian cultural studies with the specific concerns and contemporary perspectives of the authors.
The collection thus tests the potentials of the tradition to speak to the transnational as well as the national environments of the very present. Emphasis is placed on Marxist and feminist legacies, which are then projected into the domains of contemporary disability, food, and film studies.
The Seville Strategy spurred a signifi cant paradigm shift in UNESCO’s MAB Programme, re-conceptualising the research programme as a modern tool for the dual mandate of nature conservation and sustainable development. However, many biosphere reserves failed to comply with the new regulations and in 2013 the ‘Exit Strategy’ was announced to improve the quality of the global network.
This study presents a global assessment of the implementation of the quality enhancement strategies, highlighting signifi cant differences worldwide through 20 country-specifi c case studies. It concludes that the strategies have been fundamental in improving the credibility and coherence of the MAB Programme. Challenges in the implementation were not unique to individual countries but were common to all Member States with pre-Seville sites, and in many states the process has led to a rejuvenation of national biosphere reserve networks.
Studies in Modern English
(2022)
The book "Studies in Modern English" interprets English-language communication in the humanitarian paradigm of knowledge within the linguistic and psycho-sociocultural study of speech activity prioritizing cognitive and communicative paradigms. Digital discourse as the formation of new semiotic phenomena has crowned the rapid scientific and technological progress. Researchers' scientific achievements represented in the book are systemic and valid in terms of evidence-based narratives, which reflect the transformational horizon of information theory, communication theory, and theory of linguodidactics in modern English verbal, creative and digital environments. The book represents an integrated approach to the study of modern English as an open synergetic system, which requires a description of the relationship between verbal and nonverbal notions in digital space. The book integrates such innovative perspectives as the interaction of natural English and programming languages, cyber aggression as a communicative pattern in English-language digital discourse, ethics, and democratization of modern English language, relevant developments in the field of English language as a Foreign Language, and other related issues. A complex focus of the book in the realm of modern English-language communication concerns verbal and nonverbal notions analyzed in the context of socio-cultural and digital communicative spaces.
In the Spessart, a low mountain range in central Germany, a feud during the Middle Ages led to the construction of numerous castles in this region. This study analyzes the mutual influence of (paleo-)relief development and medieval building activity using a geomorphological and geoarchaeological multimethod approach to expand the knowledge of human-environmental interactions during this time. For this purpose, GIS-based terrain analysis and geophysical measurements were conducted and combined with sedimentological information to create 1D-3D models of the subsurface and to assess knowledge of the landscape and relief evolution at various medieval castle and mining sites. The interpretation of all these data led to the answering of numerous site-specific questions on various geomorphological, geoarchaeological, geologic, and archaeological topics that have been explored in this work and have greatly increased our knowledge of each study site. In addition to these key contributions to the archaeological and geomorphological interpretation of individual study sites, a quantification of the anthropogenic influence on the relief development was conducted, a generalized model of the influence was derived, and new methodological and interpretative approaches were developed. Overall, this study links geomorphological/geological and (geo-)archaeological investigations at five medieval sites and delivers important information on human-environmental interactions within the Spessart and beyond.
We consider a multi-species gas mixture described by a kinetic model. More precisely, we are interested in models with BGK interaction operators. Several extensions to the standard BGK model are studied.
Firstly, we allow the collision frequency to vary not only in time and space but also with the microscopic velocity. In the standard BGK model, the dependence on the microscopic velocity is neglected for reasons of simplicity. We allow for a more physical description by reintroducing this dependence. But even though the structure of the equations remains the same, the so-called target functions in the relaxation term become more sophisticated being defined by a variational procedure.
Secondly, we include quantum effects (for constant collision frequencies). This approach influences again the resulting target functions in the relaxation term depending on the respective type of quantum particles.
In this thesis, we present a numerical method for simulating such models. We use implicit-explicit time discretizations in order to take care of the stiff relaxation part due to possibly large collision frequencies. The key new ingredient is an implicit solver which minimizes a certain potential function. This procedure mimics the theoretical derivation in the models. We prove that theoretical properties of the model are preserved at the discrete level such as conservation of mass, total momentum and total energy, positivity of distribution functions and a proper entropy behavior. We provide an array of numerical tests illustrating the numerical scheme as well as its usefulness and effectiveness.
A graph is an abstract network that represents a set of objects, called vertices, and relations between these objects, called edges. Graphs can model various networks. For example, a social network where the vertices correspond to users of the network and the edges represent relations between the users. To better see the structure of a graph it is helpful to visualize it. A standard visualization is a node-link diagram in the Euclidean plane. In such a representation the vertices are drawn as points in the plane and edges are drawn as Jordan curves between every two vertices connected by an edge. Edge crossings decrease the readability of a drawing, therefore, Crossing Optimization is a fundamental problem in Computer Science. This book explores the research frontiers and introduces novel approaches in Crossing Optimization.
This textbook provides an introduction to common methods of performance modeling and analysis of communication systems. These methods form the basis of traffic engineering, teletraffic theory, and analytical system dimensioning. The fundamentals of probability theory, stochastic processes, Markov processes, and embedded Markov chains are presented. Basic queueing models are described with applications in communication networks. Advanced methods are presented that have been frequently used in recent practice, especially discrete-time analysis algorithms, or which go beyond classical performance measures such as Quality of Experience or energy efficiency. Recent examples of modern communication networks include Software Defined Networking and the Internet of Things. Throughout the book, illustrative examples are used to provide practical experience in performance modeling and analysis.
Target group: The book is aimed at students and scientists in computer science and technical computer science, operations research, electrical engineering and economics.
TERRAINS OF CONSCIOUSNESS emerges from an Indian-German-Swiss research collaboration. The book makes a case for a phenomenology of globalization that pays attention to locally situated socioeconomic terrains, everyday practices, and cultures of knowledge. This is exemplified in relation to three topics:
- the tension between ‘terrain’ and ‘territory’ in Defoe’s ‘Robinson Crusoe’ as a pioneering work of the globalist mentality (chapter 1)
- the relationship between established conceptions of feminism and the concrete struggles of women in India since the 19th century (chapter 2)
- the exploration of urban space and urban life in writings on India’s capital – from Ahmed Ali to Arundhati Roy (chapter 3).
The Orphic Hymns consist of a prooemium and 87 hymns addressed to several deities in a late Orphic initiation of sorts. They were composed probably in Asia Minor during the second or third century CE. The bulk of these hymns are made up of divine epithets often linked together in chains of considerable length. The lexicon attempts to give a comprehensive account of the roughly 850 epithets, bringing together the most relevant information scattered in the scholarly literature and adding others from various sources (literary, epigraphic, lexicographic, scholia etc.) in order to provide an overview of their usage and the main details of their models.