Skip to main content
Elsevier

North Holland

  • Projection Methods for Systems of Equations

    • 1st Edition
    • Volume 7
    • C. Brezinski
    • English
    The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more efficient algorithms.The main focus of this book (except the last chapter, which is devoted to systems of nonlinear equations) is the consideration of solving the problem of the linear equation Ax = b by an iterative method. Iterative methods for the solution of this question are described which are based on projections. Recently, such methods have received much attention from researchers in numerical linear algebra and have been applied to a wide range of problems.The book is intended for students and researchers in numerical analysis and for practitioners and engineers who require the most recent methods for solving their particular problem.

  • Progress in Optics

    • 1st Edition
    • Volume 37
    • English
    This volume presents six articles describing theoretical and experimental research of interest in optics. The articles review applications of the Wigner distribution function in optics and optoelectronics, examine the mathematical foundations and the applicability of Kramers-Kronig relations to data inversion in linear and nonlinear optical spectroscopy and explore concentration and anisotropy fluctuations. Chapter four reviews the field of fibre-optical soliton communication systems, and includes discussion of periodic amplification, timing jitter and its control and time-division multiplexing. Chapter five focuses on theoretical aspects of the local field electrodynamics in mesoscopic media. The final chapter reviews experiments and theories concerning the time it takes for a photon or an electromagnetic wave packet to tunnel across a barrier.

  • Linear Algebra, Rational Approximation and Orthogonal Polynomials

    • 1st Edition
    • Volume 6
    • A. Bultheel + 1 more
    • English
    Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal Padé tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algorithms for structured problems and shows how they deal with singular situations.Links are made with more applied subjects such as linear system theory and signal processing, and with more advanced topics and recent results such as general bi-orthogonal polynomials, minimal Padé approximation, polynomial root location problems in the complex plane, very general rational interpolation problems, and the lifting scheme for wavelet transform computation. The text serves as a supplement to existing books on structured linear algebra problems, rational approximation and orthogonal polynomials.Features of this book:• provides a unifying approach to linear algebra, rational approximation and orthogonal polynomials• requires an elementary knowledge of calculus and linear algebra yet introduces advanced topics.The book will be of interest to applied mathematicians and engineers and to students and researchers.

  • Lie Algebras, Part 2

    Finite and Infinite Dimensional Lie Algebras and Applications in Physics
    • 1st Edition
    • Volume 7
    • E.A. de Kerf + 2 more
    • English
    This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I.The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras.The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein.

  • Handbook of International Economics

    • 1st Edition
    • Volume 3
    • G.M. Grossman + 1 more
    • English
    The aim of the Handbook in Economic series is to produce handbooks for various branches of economics, each of which define source, reference, and teaching supplement for use by professional researchers and advanced graduate students.

  • Neural Network Models of Cognition

    Biobehavioral Foundations
    • 1st Edition
    • Volume 121
    • J.W. Donahoe + 1 more
    • English
    This internationally authored volume presents major findings, concepts, and methods of behavioral neuroscience coordinated with their simulation via neural networks. A central theme is that biobehaviorally constrained simulations provide a rigorous means to explore the implications of relatively simple processes for the understanding of cognition (complex behavior). Neural networks are held to serve the same function for behavioral neuroscience as population genetics for evolutionary science. The volume is divided into six sections, each of which includes both experimental and simulation research: (1) neurodevelopment and genetic algorithms, (2) synaptic plasticity (LTP), (3) sensory/hippocampal systems, (4) motor systems, (5) plasticity in large neural systems (reinforcement learning), and (6) neural imaging and language. The volume also includes an integrated reference section and a comprehensive index.

  • Problem of Meaning Behavioural and Cognitive Perspectives

    Behavioral and Cognitive Perspectives
    • 1st Edition
    • Volume 122
    • C. Mandell + 1 more
    • English

  • Handbook of Human-Computer Interaction

    • 2nd Edition
    • M.G. Helander + 2 more
    • English
    This completely revised edition, of the Handbook of Human-Computer Interaction, of which 80% of the content is new, reflects the developments in the field since the publication of the first edition in 1988. The handbook is concerned with principles for design of the Human-Computer Interface, and has both academic and practical purposes. It is intended to summarize the research and provide recommendations for how the information can be used by designers of computer systems. The volume may also be used as a reference for teaching and research. Professionals who are involved in design of HCI will find this volume indispensable, including: computer scientists, cognitive scientists, experimental psychologists, human factors professionals, interface designers, systems engineers, managers and executives working with systems development. Much of the information in the handbook may also be generalized to apply to areas outside the traditional field of HCI.

  • Handbook on the Physics and Chemistry of Rare Earths

    • 1st Edition
    • Volume 24
    • English
    This volume contains a collection of articles dealing with the physics and materials science of mostly metallic rare earth materials. Chapters deal with the formation of amorphous, microcrystalline and quasicrystalline phases by mechanical alloying, rapid solidification and even normal casting operations. As is often the case with these 4f elements, magnetism is a dominant topic and this is reflected in the chapters covering surface magnetism, electron-spin resonance, exchange coupling in lanthanide-transitio... metal phases and the magnetic behavior of ternary rare-earth stannides, including their crystal structures.

  • Handbook of Magnetic Materials

    • 1st Edition
    • Volume 10
    • English
    Volume 10 of the Handbook is composed of topical review articles written by leading authorities. In each of these articles an extensive description is given in graphical as well as in tabular form, much emphasis being placed on the discussion of the experimental material in the framework of physics, chemistry and materials science.Of all the new superconducting materials investigated having a more than three times highter transition temperature, the cuprates are the most prominent. Although originally intended as novel superconducting compounds, these materials have opened a new field of magnetism that permits detailed studies of the propagation of magnetic order as a function of separation and crystallographic orientation as well as studies of the interplay of strain and magnetic properties. Chapter one presents a detailed account of acheivements in this field.Further chapters report on the progress being made in research areas that have been dealt with in previous volumes of the Handbook. These include the group of soft magnetic materials in which supplementary results dealing with nanocrystalline alloys are highlighted; the magnetic properties of intermetallic compounds in which rare earth elements are combined with nonmagnetic elements; progress in the development in hard magnetic materials, with the emphasis on novel developments in the manufacturing routes and the physical principles on which these new developments are based.

Browse by Publisher