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Geometric numerical integration : Structure-preserving algorithms for ordinary differential equations
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.
Geometric Modelling, Numerical Simulation, and Optimization : Applied Mathematics at SINTEF
This book present scurrent activities of the Department of AppliedMathem- ics at SINTEF, the largest independent research organisation in Scandinavia. The book contains fteenpaperscontributedby employeesandfellowpartners from collaborating institutions. The research and development work within the department is focused on three main subject areas,andthestructureof the book refectsthisclustering: Part I Geometric Modelling Part II Numerical Simulation Part III Optimization Addressing Mathematics for Industry and Society, each contribution - scribesa problems ettingthatis of practical relevanceinone of thethreeareas and communicates the authors' own experiences in tackling these problems.
Geometric Modeling and Processing - GMP 2006 ; 4th International Conference, GMP 2006, Pittsburgh, PA, USA, July 26-28, 2006, Proceedings
This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA in July 2006. The 36 revised full papers and 21 revised short papers presented were carefully reviewed and selected from a total of 84 submissions. All current issues in the area of geometric modeling and processing are addressed and the impact in such areas as computer graphics, computer vision, machining, robotics, and scientific visualization is shown. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape description, shape recognition, geometric modeling, subdivision surfaces, and engineering applications.
Geometric Integration Theory
This textbook introduces geometric measure theory through the notion of currents. Currents—continuous linear functionals on spaces of differential forms—are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics
Geometric Function Theory : Explorations in Complex Analysis
Complex variables is a precise, elegant, and captivating subject. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including invariant geometry, the Bergman metric, the automorphism groups of domains, harmonic measure, boundary regularity of conformal maps, the Poisson kernel, the Hilbert transform, the boundary behavior of harmonic and holomorphic functions, the inhomogeneous Cauchy–Riemann equations, and the corona problem.
Geometric Data Analysis : From Correspondence Analysis to Structured Data Analysis
Geometric Data Analysis (GDA) is the name suggested by Stanford University to designate the approach to Multivariate Statistics initiated.as Correspondence Analysis, an approach that has become more and more used and appreciated over the years. This book presents the full formalization of GDA in terms of linear algebra - the most original and far-reaching consequential feature of the approach - and shows also how to integrate the standard statistical tools such as Analysis of Variance, including Bayesian methods. Chapter 9, Research Case Studies, is nearly a book in itself; it presents the methodology in action on three extensive applications, one for medicine, one from political science, and one from education (data borrowed from the Stanford computer-based Educational Program for Gifted Youth ). Thus the readership of the book concerns both mathematicians interested in the applications of mathematics, and researchers willing to master an exceptionally powerful approach of statistical data analysis.
Geomatics Solutions for Disaster Management
Natural and anthropogenic disasters have caused a large number of victims and significant social and economic losses in the last few years. There is no doubt that the risk prevention and disaster management sector needs drastic measures and improvements in order to decrease damage and save lives of inhabitants. Effective utilization of satellite positioning, remote sensing, and GIS in disaster monitoring and management requires research and development in numerous areas: data collection, access and delivery, information extraction and analysis, management and their integration with other data sources (airborne and terrestrial imagery, GIS data, etc.), data standardization, organizational and legal aspects of sharing of remote sensing information. This book provides researchers and practitioners with a good overview of what is being developed in this topical area.
Geomagnetics for aeronautical safety : A case study in and around the Balkans
Flying safely in aircraft implies the use of navigation instruments. Among them, the magnetic compass is still a first choice for orientation and it is compulsory in all aircraft. In our increasingly sophisticated but fragile world of global navigation systems and gyroscopic sensors, the compass is especially useful as a back-up: it is highly reliable and likely to survive in harsh electromagnetic aggressions or when all power supplies fail. This book examines in detail how the science of geomagnetism is able to promote correct use of the magnetic compass for navigation. A selected group of specialists met in Ohrid, Macedonia to expose their approaches to the question. Using techniques from Geology, Instrument science, Magnetism, Chaos theory and Potential Fields applied to the Balkan region and surroundings, they put together a roadmap to fully tackle the issue of measurement, analysis, mapping and forecasting the magnetic declination in support of aeronautical safety.
Geology and Habitability of Terrestrial Planets
This book has resulted from a workshop at the International Space Science Institute (ISSI) in Bern, Switzerland (5-9 September 2005) that brought together planetary geologists, geophysicists, atmospheric scientists, and biologists to discuss the multi-faceted problem of how the habitability of a planet co-evolves with the geology of the surface and interior, the atmosphere, and the magnetosphere.
Geology and Ecosystems
This book includes an analysis of the relationship between the different geological, hydrochemical, hydrogeological and engineering-geological processes and the processes within surface ecosystems. The analysis of specific interactions between the lithosphere and biosphere provides an integrated concept of the role of the geological environment in the evolution of the biosphere. The practical significance of the book is reflected by the analysis of modern engineering activity associated with the mining of minerals, excessive groundwater withdrawal, disposal of industrial and domestic wastes (including radioactive wastes) and their impacts on all components of the environment. Geology and Ecosystems includes a scientific approach to the complex monitoring of the environment under different natural and anthropogenic conditions, including the monitoring of permafrost regions. An important part of the book is the analysis of the "water factor" impact on ecosystems and sustainable development. Influences of intensive groundwater extraction on river flow, vegetation and land subsidence are also considered.
Geological Storage of Highly Radioactive Waste : Current Concepts and Plans for Radioactive Waste Disposal
The book describes and assesses current concepts for long-term disposal of highly radioactive waste. Different types of rock are discussed and assessed with respect to practical difficulties in construction of a repository, and the efficiency in isolating radioactive waste. Safety matters are most important and are treated in the respective chapters and in a final, conclusive chapter. Cost issues and related quality matters are discussed for the case of constructing a virgin repository and repositories in the form of converted abandoned mines.
Geological atlas of Africa : With notes on stratigraphy, tectonics, economic geology, geohazards, geosites and geoscientific education of each country
T is atlas is intended primarily for anybody who is in-some background for the arrangement of how the terested in basic geology of Africa. Its originality lies atlas was done. T e second chapter is devoted to the in the fact that the regional geology of each African history of geological mapping in Africa, necessary nation or territory is reviewed country-wise by maps for a fuller appreciation of why this work in Africa is and text, a view normally not presented in textbooks worth doing. Chapter 3 provides an executive s- of regional geology. It is my belief, that there has long mary on the stratigraphy and tectonics of Africa as a been a need in universities and geological surveys, whole, i. e. in the context of no political boundaries.
Geo-information for Disaster Management
Geo-information technology offers an opportunity to support disaster management: industrial accidents, road collisions, complex emergencies, earthquakes, fires, floods and similar catastrophes (for example the recent huge disaster with the Tsunami in South-East Asia on 26 December 2004). Access to needed information, facilitation of the interoperability of emergency services, and provision of high-quality care to the public are a number of the key requirements. The book provides a broad overview of the (geo-information) technology, software, systems needed, used and to be developed for disaster management. The book provokes a wide discussion on systems and requirements for use of geo-information under time and stress constraints and unfamiliar situations, environments and circumstances.
Geography and Drug Addiction
لإhis book contains drug addiction contributes to better understanding the etiology of addiction, its diffusion, its interaction with geographically variable environmental, social, and economic factors, and the strategies for its treatment and prevention. This book explores links between geography and drug abuse and identifies research ideas, connections, and research pathways which point to some promising avenues for future work in this area
Geographies of Schooling
This book explores the complex relationship between schooling as a set of practices embedded in educational institutions and their specific spatial dimensions from different disciplinary perspectives.The book covers a broad range of topics, all examined from a spatial perspective: the governance of schooling, the transition processes of and within national school systems, the question of small schools in peripheral areas as well as the embeddedness of schooling in broader processes of social change. Transcending disciplinary boundaries, the book offers deep insights into current theoretical debates and empirical case studies within the broad research field encompassing the complex relationship between education and space.
Geographies of Asylum in Europe and the Role of European Localities
This book describes how the numerous arrivals of asylum seekers since 2015 shaped reception and integration processes in Europe. It addresses the structuration of asylum and reception systems, and spaces and places of reception on European, national, regional and local level.
Geographical Education in a Changing World : Past Experience, Current Trends and Future Challenges
The status of geography in school curricula varies across the globe. Geography, as a discrete subject, has, in some countries, established a strong position in both primary and secondary schools while in others it has a weaker position, often a component of integrated and cross-curricular arrangements. Globally, the trend is for geography's status to be challenged. A central theme of this book is the location of geography in school curricula with particular reference to centrality and marginality. A second theme relates to the subject status of geography. A third theme relates to the spirit and purpose of school geography and the traditions that underpin the subject and how these are changing. A fourth theme relates to the way geography is being seen by curriculum planners as contributing to the achievement of governmental aims for society in general. A fifth theme concerns the human and material resources infrastructure.
Geographic Uncertainty in Environmental Security
Proceedings of the NATO Advanced Research Workshop on Fuzziness and Uncertainty in GIS for Environmental Security and Protection.was held in Kyiv, Ukraine, June 28-July 1, 2006 The papers based upon the presentations at this meeting are included in this book. They were all quite good, some focusing on the use of fuzzy sets in geography, others focusing on explicit environmental concerns in Ukraine.
Geographic Information Science ; 5th International Conference, GIScience 2008, Park City, UT, USA, September 23-26, 2008. Proceedings
This book constitutes the refereed proceedings of the 5th International Conference on Geographic Information Secience, GIScience 2008, held in Park City, UT, USA, in September 2008.The 24 revised full papers presented were carefully reviewed and selected from 77 submissions. Among the traditional topics addressed are spatial relations, geographic dynamics, and spatial data types. A significant number of papers deal with navigation networks, location-based services, and spatial information query and retrieval. Geo-sensors, mobile computing, and Web mapping rank among the important new directions.
Geographic information metadata for spatial data infrastructures : Resources, interoperability and information retrieval
Metadata play a fundamental role in both DLs and SDIs. Commonly defined as "structured data about data" or "data which describe attributes of a resource" or, more simply, "information about data", it is an essential requirement for locating and evaluating available data. Therefore, this book focuses on the study of different metadata aspects, which contribute to a more efficient use of DLs and SDIs. The three main issues addressed are: the management of nested collections of resources, the interoperability between metadata schemas, and the integration of information retrieval techniques to the discovery services of geographic data catalogs (contributing in this way to avoid metadata content heterogeneity).
