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The idea for this book originated during the workshop “Model order reduction, coupled problems and optimization” held at the Lorentz Center in Leiden from S- tember 19–23, 2005. During one of the discussion sessions, it became clear that a book describing the state of the art in model order reduction, starting from the very basics and containing an overview of all relevant techniques, would be of great use for students, young researchers starting in the ?eld, and experienced researchers. The observation that most of the theory on model order reduction is scattered over many good papers, making it dif?cult to ?nd a good starting point, was supported by most of the participants. Moreover...
An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.
An innovative and accessible overview of how ancient Scandinavians understood and made use of their mythological stories. Old Norse Mythology provides a unique survey of the mythology of Scandinavia: the gods Þórr (Thor) with his hammer, the wily and duplicitous Óðinn (Odin), the sly Loki, and other fascinating figures. They create the world, battle their enemies, and die at the end of the world, which arises anew with a new generation of gods. These stories were the mythology of the Vikings, but they were not written down until long after the conversion to Christianity, mostly in Iceland. In addition to a broad overview of Nordic myths, the book presents a case study of one myth, which tells of how Þórr (Thor) fished up the World Serpent, analyzing the myth as a sacred text of the Vikings. Old Norse Mythology also explores the debt we owe to medieval intellectuals, who were able to incorporate the old myths into new paradigms that helped the myths to survive when they were no longer part of a religious system. This superb introduction traces the use of the mythology in ideological contexts, from the Viking Age until the twenty-first century, as well as in entertainment.
Electrocatalysis in Balancing the Natural Carbon Cycle Explore the potential of electrocatalysis to balance an off-kilter natural carbon cycle In Electrocatalysis in Balancing the Natural Carbon Cycle, accomplished researcher and author, Yaobing Wang, delivers a focused examination of why and how to solve the unbalance of the natural carbon cycle with electrocatalysis. The book introduces the natural carbon cycle and analyzes current bottlenecks being caused by human activities. It then examines fundamental topics, including CO2 reduction, water splitting, and small molecule (alcohols and acid) oxidation to prove the feasibility and advantages of using electrocatalysis to tune the unbalanced...
Volume 48in the Semiconductors and Semimetals series discusses the physics and chemistry of electronic materials, a subject of growing practical importance in the semiconductor devices industry. The contributors discuss the current state of knowledge and provide insight into future developments of this important field.
The last two years have seen significant developments in the standardization of GMPLS and its implementation in optical and other networks. GMPLS: Architecture and Applications brings you completely up to date, providing the practical information you need to put the growing set of GMPLS-supported services to work and manage them effectively. This book begins by defining GMPLS’s place in a transport network, leveraging your knowledge of MPLS to give you an understanding of this radically new control plane technology. An overview of GMPLS protocols follows, but the real focus is on what comes afterwards: in-depth examinations of the architectures underpinning GMPLS in real-world network envi...
This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
This paper analyzes the behavior of gross capital inflows across 34 emerging markets (EMs). We first confirm that aggregate inflows to EMs co-move considerably. We then report three findings: (i) the aggregate co-movement conceals significant heterogeneity across asset types as only bank-related and portfolio bond and equity inflows do co-move; (ii) while global push factors in advanced economies mostly explain the common dynamics, their relative importance varies by type of flow; and (iii) the sensitivity to common dynamics varies significantly across borrower countries, with market structure characteristics (especially the composition of the foreign investor base and the level of liquidity) rather than borrower country’s institutional fundamentals strongly affecting sensitivities. Countries relying more on international funds and global banks are found to be more sensitive to push factors. Our findings suggest that EMs need to closely monitor their lenders and investors to assess their inflow exposures to global push factors.
Nonnegative matrix factorization (NMF) in its modern form has become a standard tool in the analysis of high-dimensional data sets. This book provides a comprehensive and up-to-date account of the most important aspects of the NMF problem and is the first to detail its theoretical aspects, including geometric interpretation, nonnegative rank, complexity, and uniqueness. It explains why understanding these theoretical insights is key to using this computational tool effectively and meaningfully. Nonnegative Matrix Factorization is accessible to a wide audience and is ideal for anyone interested in the workings of NMF. It discusses some new results on the nonnegative rank and the identifiability of NMF and makes available MATLAB codes for readers to run the numerical examples presented in the book. Graduate students starting to work on NMF and researchers interested in better understanding the NMF problem and how they can use it will find this book useful. It can be used in advanced undergraduate and graduate-level courses on numerical linear algebra and on advanced topics in numerical linear algebra and requires only a basic knowledge of linear algebra and optimization.
Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Int...