الصفحة 2
الصفحة 2
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 Optimization : Theoretical and Practical Aspects
This book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. Most of the algorithms are explained in a detailed manner, allowing straightforward implementation. Theoretical aspects of the approaches chosen are also addressed with care, often using minimal assumptions. It's contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical, description, when coming to actual implementation. Besides, the nonsmooth optimization part has been substantially reorganized and expanded.
Numerical Methods for Nonsmooth Dynamical Systems : Applications in Mechanics and Electronics
This book concerns the numerical simulation of dynamical systems whose trajectories may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, firstly because of the many applications in which nonsmooth models are useful, secondly because they give rise to new problems in various fields of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution variational inequalities, each of these classes being itself split into several subclasses.
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].
Numerical analysis
Introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work-and why, in some situations, they fail. A wealth of examples and exercises develop readers' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines.
Nuclear Risks in Central Asia
Insights into uranium production sites and nuclear explosion testing sites in Former Soviet Union countries Unique information on contamination of NORM and other radionuclides in Central Asia and Caucasus area Highlighting the need of radiation protection in areas contaminated by uranium exploitation in Central Asia and Caucasus area
Nuclear Medicine Technology : Review Questions for the Board Examinations
Nuclear medicine technology has been a fascinating subject ever since the early rectilinear scanner produced images, and is becoming ever more interesting (and demanding) with the growth of positron emission tomography and other molecular imaging. Taking and passing the exam offered by the Nuclear Medicine Technology Certi? cation Board (NMTCB), or that offered by the American Registry of Radiologic Techno- gists (ARRT), is the ? nal step in reaching the status of Nuclear M edicine Technologist. These exams are both challenging and the breadth of knowledge that they cover mean that a th- ough review is in order before attempting either exam. This book was created to assist in preparation for those exams. In addition to recalling information, the questions require application of information, and analysis of situations.
Nuclear Law : The Global Debate
This open access book traces the journey of nuclear law: its origins, how it has developed, where it is now, and where it is headed. As a discipline, this highly specialized body of law makes it possible for us to benefit from the life-saving applications of nuclear science and technology, including diagnosing cancer as well as avoiding and mitigating the effects of climate change. This book seeks to give readers a glimpse into the future of nuclear law, science and technology. It intends to provoke thought and discussion about how we can maximize the benefits and minimize the risks inherent in nuclear science and technology. This compilation of essays presents a global view in discipline as well as in geography.
Nuclear Energy : Principles, Practices, and Prospects
The world faces serious difficulties in obtaining the energy that will be needed in coming decades for a growing population, especially given the problem of climate change caused by fossil fuel use. This book presents a view of nuclear energy as an important carbon-free energy option. It discusses the nuclear fuel cycle, the types of reactors used today and proposed for the future, nuclear waste disposal, reactor accidents and reactor safety, nuclear weapon proliferation, and the cost of electric power. To provide background for these discussions, the book begins with chapters on the history of the development and use of nuclear energy, the health effects of ionizing radiation, and the basic physics principles of reactor operation. The text has been rewritten and substantially expanded for this edition, to reflect changes that have taken place in the eight years since the publication of the first edition and to provide greater coverage of key topics. These include the Yucca Mountain repository plans, designs for next-generation reactors, weapons proliferation and terrorism threats, the potential of alternatives to nuclear energy, and controversies about low-level radiation.
Novepernove : Sudoku : segreti e strategie di gioco = Novepernove : Sudoku : game secrets and strategies
The game of Sudoku has exploded in the Western world since 2005 and has since continued to expand, to gather new followers, to proliferate specialized magazines on newsstands and dedicated sites on the Internet. Sudoku success shows no signs of slowing down. All the major newspapers offer daily some patterns to be solved; associations and federations were born; local tournaments, various national championships and even an annual world championship are organized; the proposals for variants of the classic Sudoku multiply; many university professors have launched graduate theses on the subject; various software products have been written on PCs, on dedicated hardware and on the main interactive game consoles.
Novel Carrier Systems for Targeted and Controlled Drug Delivery
Presents novel carrier systems for the targeted and controlled drug delivery for the treatment of various diseases which are difficult to be treated with conventional drug delivery systems like cancer, autoimmune disorders, and emerging infectious diseases. It also reviews the origins and applications of stimuli-responsive polymer systems and polymer therapeutics such as polymer-protein and polymer-drug conjugates. The book also explores the potential applications of the parenteral route of administration for the delivery of active pharmaceutical substances with a narrow therapeutic index and poor bioavailability. Further, the book presents common routes of administration for the systemic delivery of peptides and proteins. It also examines the applications of various implantable systems in drug delivery. The book also covers the important colloidal drug delivery systems, including liposomes and niosomes and solid lipid nanoparticles, and nanostructured lipid carriers.
Notions of Convexity
The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively. This gives a background for the study in the following chapters of related notions which occur in the theory of linear partial differential equations and complex analysis such as (pluri-)subharmonic functions, pseudoconvex sets, and sets which are convex for supports or singular supports with respect to a differential operator. In addition, the convexity conditions which are relevant for local or global existence of holomorphic differential equations are discussed, leading up to Trépreau’s theorem on sufficiency of condition (capital Greek letter Psi) for microlocal solvability in the analytic category.
Notes on Set Theory
This is introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems.
Nonsmooth Variational Problems and their Inequalities : Comparison Principles and Applications
The main purpose of this book is to provide a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method. This method is an effective and flexible technique to obtain existence and comparison results of solutions. Also, it can be employed for the investigation of various qualitative properties, such as location, multiplicity and extremality of solutions. In the treatment of the problems under consideration a wide range of methods and techniques from nonlinear and nonsmooth analysis is applied, a brief outline of which has been provided in a preliminary chapter in order to make the book self-contained.
Nonsmooth Analysis
The book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts (tangent and normal cones) and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for locally Lipschitz continuous functions and finally presents subdifferentials for general lower semicontinuous functions. All basic tools are presented where they are needed; this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. The presentation is rigorous, with detailed proofs. Each chapter ends with bibliographic notes and exercises.
Non-negative Matrices and Markov Chains
This book is a photographic reproduction of the book of the same title published in 1981, for which there has been continuing demand on account of its accessible technical level. Its appearance also helped generate considerable subsequent work on inhomogeneous products of matrices. This printing adds an additional bibliography on coefficients of ergodicity and a list of corrigenda.
Nonlinear Partial Differential Equations with Applications
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. It balances the abstract functional-analysis approach based on nonlinear monotone, pseudomonotone, weakly continuous, or accretive mappings with concrete partial differential equations in their weak (or more general) formulation. Methods of Galerkin or of Rothe are exposed in a large generality. Other methods include various direct methods, regularization, or fixed points. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are rather an introduction into the subject while some others form an advanced textbook. The intended audience is graduate and PhD students and researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.
Nonlinear Dynamics of Chaotic and Stochastic Systems : Tutorial and Modern Developments
This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contributions themselves.
Nonlinear dynamics of a wheeled vehicle
This book provides an overview of the theory of stability analysis and its applications. It is focused on various methods devoted to analyzing wheeled vehicle behavior. The authors provide both basic and advanced knowledge of the subject.
Nonbayesian Decision Theory : Beliefs and Desires as Reasons for Action
This book aims to present an account of rational choice from a non-Bayesian point of view. Rational agents maximize subjective expected utility, but contrary to what is claimed by Bayesians, the author argues that utility and subjective probability should not be defined in terms of preferences over uncertain prospects. To some extent, the author’s non-Bayesian view gives a modern account of what decision theory could have been like, had decision theorists not entered the Bayesian path discovered by Ramsey, Savage, and Jeffrey. The author argues that traditional Bayesian decision theory is unavailing from an action-guiding perspective. For the deliberating Bayesian agent, the output of decision theory is not a set of preferences over alternative acts - these preferences are on the contrary used as input to the theory.
