الصفحة 1
الصفحة 1
Numerical Solution of Partial Differential Equations on Parallel Computers
The scientific fields of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.
Numerical Methods for General and Structured Eigenvalue Problems
The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigenvalues of a square matrix A are the roots of its characteristic polynomial det(A??I). An invariant subspace is a linear subspace that stays invariant under the action of A. In realistic applications, it usually takes a long process of simpli?cations, linearizations and discreti- tions before one comes up with the problem of computing the eigenvalues of a matrix. In some cases, the eigenvalues have an intrinsic meaning, e.g., for the expected long-time behavior of a dynamical system; in others they are just meaningless intermediate values of a computational method. The same applies to invariant subspaces, which for example can describe sets of initial states for which a dynamical system produces exponentially decaying states. Computing eigenvalues has a long history, dating back to at least 1846 when Jacobi [172] wrote his famous paper on solving symmetric eigenvalue problems. Detailed historical accounts of this subject can be found in two papers by Golub and van der Vorst [140, 327].
Noise-Induced Transitions : Theory and Applications in Physics, Chemistry, and Biology
This classic text, an often-requested reprint, develops and explains the foundations of noise-induced processes. At its core is a self-contained, textbook-style presentation of the elements of probability theory, of the theory of Markovian diffusion processes and of the theory of stochastic differential equations, on which the modeling of fluctuating natural and artificial environments is based. Following an introduction to the mathematical tools, the occurrence and the properties of noise-induced transitions are then analyzed for rapidly fluctuating environments describable by the white-noise idealization. Subsequently, more realistic and general types of colored noises are considered. Appropriate practical methods for dealing with these situations are developed. The latter part of the book contains applications and experimental studies illustrating the many facets of noise-induced transitions. The following applications are considered in Noise-Induced Transitions: population dynamics, electrical circuits, chemical and photochemical reactions, non-linear optics, and hydrodynamical systems.
National reflections on the Netherlands didactics of mathematics : Teaching and learning in the context of realistic mathematics education
This book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education.
Multi-body Dynamic Modeling of Multi-legged Robots
This book describes the development of an integrated approach for generating the path and gait of realistic hexapod robotic systems. It discusses in detail locomation with straight-ahead, crab and turning motion capabilities in varying terrains, like sloping surfaces, staircases, and various user-defined rough terrains. It also presents computer simulations and validation using Virtual Prototyping (VP) tools and real-world experiments.
Motivational Aspects of Prejudice and Racism
Motivational Aspects of Prejudice and Racism examines the cognitive processes as well as the motivational forces that create and sustain social hierarchies based on racial categories. A panel of top scholars analyzes the subtle and explicit manifestations of bias within and across racial groups, while refuting the idea that race has lost its power as a social concept. Chapter authors review the evolution of the psychological understanding of racism and its effects, pinpoint emerging trends in racism research, and illuminate the experience of prejudice from minority group members’ perspectives. Well-known psychosocial phenomena as the cross-race identification effect, social identity, and majority culture members' conflicting attitudes regarding race, are explored, with the underlying ideologies that nurture them. The volume concludes with a realistic assessment of the future, and possible elimination, of racism. Readers are challenged to re-think self and social identities and self-concepts—particularly relevant ideas as America grows more diverse, and potentially more divided.
Molecular Materials with Specific Interactions - Modeling and Design
One of the first requirements to initiate the molecular modeling of molecular materials is an accurate and realistic description of the electronic structure, intermolecular interactions and chemical reactions at microscopic and macroscopic scale. Therefore the first four chapters contain an extensive introduction into the latest theories of intermolecular interactions, functional density techniques, microscopic and mezoscopic modeling techniques as well as first-principle molecular dynamics.In the following chapters, techniques bridging microscopic and mezoscopic modeling scales are presented. The authors then illustrate various successful applications of molecular design of new materials, drugs, biocatalysts, etc. before presenting challenging topics in molecular materials design.
Molecular interactions : Concepts and methods
A modern, comprehensive text and reference describing intermolecular forces, this book begins with coverage of the concepts and methods for simpler systems, then moves on to more advanced subjects for complex systems – emphasizing concepts and methods used in calculations with realistic models and compared with empirical data.
Modeling and simulation of complex communication networks
Covers important topics and approaches related to the modeling and simulation of complex communication networks from a complex adaptive systems perspective. The authors present different modeling paradigms and approaches as well as surveys and case studies. Modern network systems such as Internet of Things, Smart Grid, VoIP traffic, Peer-to-Peer protocol, and social networks, are inherently complex. They require powerful and realistic models and tools not only for analysis and simulation but also for prediction. With contributions from an international panel of experts, this book is essential reading for networking, computing, and communications professionals, researchers and engineers in the field of next generation networks and complex information and communication systems, and academics and advanced students working in these fields.
Mercury
Mercury, the planet closest to the Sun, is different in several respects from the other three terrestrial planets. In appearance, it resembles the heavily cratered surface of the Moon, but its density is high, it has a magnetic field and magnetosphere, but no atmosphere or ionosphere. This book reviews the progress made in Mercury studies since the flybys by Mariner 10 in 1974-75, based on the continued research using the Mariner 10 archive, on observations from Earth, and on increasingly realistic models of its interior evolution.
Matrix-Based Multigrid : Theory and Applications
Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to more realistic applications with complicated grids and domains.
Introduction to Machine Learning with Applications in Information Security
Provides a classroom-tested introduction to a wide variety of machine learning and deep learning algorithms and techniques, reinforced via realistic applications. The book is accessible and doesn't prove theorems, or dwell on mathematical theory. The goal is to present topics at an intuitive level, with just enough detail to clarify the underlying concepts. The book covers core classic machine learning topics in depth, including Hidden Markov Models (HMM), Support Vector Machines (SVM), and clustering. Additional machine learning topics include k-Nearest Neighbor (k-NN), boosting, Random Forests, and Linear Discriminant Analysis (LDA). The fundamental deep learning topics of backpropagation, Convolutional Neural Networks (CNN), Multilayer Perceptrons (MLP), and Recurrent Neural Networks (RNN) are covered in depth. A broad range of advanced deep learning architectures are also presented, including Long Short-Term Memory (LSTM), Generative Adversarial Networks (GAN), Extreme Learning Machines (ELM), Residual Networks (ResNet), Deep Belief Networks (DBN), Bidirectional Encoder Representations from Transformers (BERT), and Word2Vec.
International reflections on the Netherlands didactics of mathematics : Visions on and experiences with realistic mathematics education
This book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects.
Intelligent drugs : How AI is transforming healthcare
The progress of biotechnologies and artificial intelligence allowed the development of vaccines in less than a year, thus saving millions of human lives and preserving the global economy. The emergence of intelligent drugs is highlighted, with the promise of ultra-targeted, more effective, and safer treatments against a wide range of diseases. Personalized medicine then becomes realistic, with computer-designed drugs, perfectly adapted to each individual, tested on virtual patients before their real use. In the near future, thanks to AI, new drugs will improve physical performance, stimulate cognitive abilities, prevent diseases, and slow down aging.
Image-Based Rendering
Image-based rendering (IBR) refers to a collection of techniques and representations that allows 3D scenes and objects to be visualized in a realistic way without full 3D model reconstruction. The potential for photorealistic visualization has tremendous appeal, especially for applications such as video games, virtual travel, and E-commerce, which stand to greatly benefit from this technology.
Historical Seismology : Interdisciplinary Studies of Past and Recent Earthquakes
Modern seismology has faced new challenges in the study of earthquakes and their physical characteristics. This volume is dedicated to the use of new approaches and presents a state of the art in historical seismology. Selected historical and recent earthquakes are chosen to document and constrain related seismic parameters using updated methodologies in the macroseismic analysis, field observations of damage distribution and tectonic effects, and modelling of seismic waveforms. A critical re-evaluation of historical accounts and early seismograms provides us with the basis for a realistic seismic hazard assessment.
Handbook of obesity prevention : A resource for health professionals
Comprehensive in scope and meticulously researched, Handbook of Obesity Prevention analyzes the intricate causes of this public health crisis, and sets out concrete, multilevel strategies for meeting it head-on. This innovative handbook starts by clearly defining obesity in clinical, epidemiologic, and financial terms. From there, expert contributors provide insights on current issues, methods, and controversies in the field, focusing on new opportunities for prevention, successful interventions and initiatives, and guidelines for planning and implementing programs and evaluating results. This systematic approach to large-scale social and policy change gives all parties involved—from individual practitioners to multinational corporations—the tools to set and attain realistic goals based on solid evidence and best practice in public health.
Hamiltonian dynamical systems and applications
This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems as well as the theory of Hamiltonian systems in infinite dimensional phase space; these are described in depth in this volume. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope for realistic long time stability results, the development of KAM theory for partial differential equations in one and in higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion.
GPU-Based Interactive Visualization Techniques
This book focuses on efficient visualization techniques, which are the prerequisite for the interactive exploration of complex data sets. High performance is primarily achieved by devising algorithms for the fast graphics processing units (GPUs) of modern graphics hardware. Other aspects discussed in the book include parallelization on cluster computers with several GPUs, adaptive rendering methods, multi-resolution models, and non-photorealistic rendering techniques for visualization. Covering both the theoretical foundations and practical implementations of algorithms, this book provides the reader with a basis to understand and reproduce modern GPU-based visualization approaches.
Fundamental change : International handbook of educational change
This set of four volumes on brings together evidence and insights on educational change issues from leading writers and researchers in the field from across the world. Many of these writers, whose chapters have been specially written for these books, have been investigating, helping initiate and implementing educational change, for most or all of their lengthy careers. Others are working on the cutting edge of theory and practice in educational change, taking the field in new or even more challenging directions. And some are more skeptical about the literature of educational change and the assumptions on which it rests. They help us to approach projects of understanding or initiating educational change more deeply, reflectively and realistically.
