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Extrapolation
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Book Synopsis Extrapolation, Interpolation, and Smoothing of Stationary Time Series, with Engineering Applications by : Norbert Wiener
Download or read book Extrapolation, Interpolation, and Smoothing of Stationary Time Series, with Engineering Applications written by Norbert Wiener and published by Martino Fine Books. This book was released on 2013-11 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2013 Reprint of 1949 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This is the second book by Norbert Wiener on time series and communication engineering. While the first one, "Cybernetics," treated the subject from a general standpoint and was more philosophical than mathematical, the present volume is more technical than theoretical, and forms a kind of companion piece to the first. It is intended as a tool for engineers working in the field of electrical communication and related subjects. The book consists of an introduction, five chapters, and three appendices. After explaining the general outline of the problem in the introduction, the author gives in Chapter I a review of generalized harmonic analysis which is necessary for the understanding of the following chapters. Chapters II and III are devoted to the problems of prediction and filtering respectively. In Chapter IV there is given a brief account of the theory of multiple prediction, that is, the theory of prediction when we deal with more than one time series at the same time. Finally, in Chapter V there is given a short discussion on the application of similar methods to a problem of approximate differentiation.
Book Synopsis Extrapolation Practice for Ecotoxicological Effect Characterization of Chemicals by : Keith R. Solomon
Download or read book Extrapolation Practice for Ecotoxicological Effect Characterization of Chemicals written by Keith R. Solomon and published by CRC Press. This book was released on 2008-05-23 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging compilation of techniques, Extrapolation Practice for Ecotoxicological Effect Characterization of Chemicals describes methods of extrapolation in the framework of ecological risk assessment. The book, informally known as EXPECT, identifies data needs and situations where these extrapolations can be most usefully applied, makin
Book Synopsis The Splitting Extrapolation Method by : C. B. Liem
Download or read book The Splitting Extrapolation Method written by C. B. Liem and published by World Scientific. This book was released on 1995 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.
Book Synopsis Richardson Extrapolation by : Zahari Zlatev
Download or read book Richardson Extrapolation written by Zahari Zlatev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-11-07 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book. Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations. Contents The basic properties of Richardson extrapolation Richardson extrapolation for explicit Runge-Kutta methods Linear multistep and predictor-corrector methods Richardson extrapolation for some implicit methods Richardson extrapolation for splitting techniques Richardson extrapolation for advection problems Richardson extrapolation for some other problems General conclusions
Book Synopsis Weights, Extrapolation and the Theory of Rubio de Francia by : David V. Cruz-Uribe
Download or read book Weights, Extrapolation and the Theory of Rubio de Francia written by David V. Cruz-Uribe and published by Springer Science & Business Media. This book was released on 2011-04-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic development of the Rubio de Francia theory of extrapolation, its many generalizations and its applications to one and two-weight norm inequalities. The book is based upon a new and elementary proof of the classical extrapolation theorem that fully develops the power of the Rubio de Francia iteration algorithm. This technique allows us to give a unified presentation of the theory and to give important generalizations to Banach function spaces and to two-weight inequalities. We provide many applications to the classical operators of harmonic analysis to illustrate our approach, giving new and simpler proofs of known results and proving new theorems. The book is intended for advanced graduate students and researchers in the area of weighted norm inequalities, as well as for mathematicians who want to apply extrapolation to other areas such as partial differential equations.
Book Synopsis Practical Extrapolation Methods by : Avram Sidi
Download or read book Practical Extrapolation Methods written by Avram Sidi and published by Cambridge University Press. This book was released on 2003-06-05 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Book Synopsis Application of Toxicogenomics to Cross-Species Extrapolation by : National Research Council
Download or read book Application of Toxicogenomics to Cross-Species Extrapolation written by National Research Council and published by National Academies Press. This book was released on 2006-04-24 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of what we know about the health effects of exposure to chemicals from food, drugs, and the environment come from studies of occupational, inadvertent, or accident-related exposures. When there is not enough human data, scientists rely on animal data to assess risk from chemical exposure and make health and safety decisions. However, humans and animals can respond differently to chemicals, including the types of adverse effects experienced and the dosages at which they occur. Scientists in the field of toxicogenomics are using new technologies to study the effects of chemicals. For example, in response to a particular chemical exposure, they can study gene expression ("transcriptomics"), proteins ("proteomics") and metabolites ("metabolomics"), and they can also look at how individual and species differences in the underlying DNA sequence itself can result in different responses to the environment. Based on a workshop held in August 2004, this report explores how toxicogenomics could enhance scientists' ability to make connections between data from experimental animal studies and human health.
Book Synopsis Principles of Animal Extrapolation (1991) by : Edward J. Calabrese
Download or read book Principles of Animal Extrapolation (1991) written by Edward J. Calabrese and published by CRC Press. This book was released on 2017-11-22 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Animal Extrapolation addresses the conceptual basis for animal extrapolation and provides an abundance of documentation that illustrates how these principles may be applied in the selection of the more appropriate models and in the interpretation of toxicological studies. The book analyzes and documents each specific biological cause of interspecies differences in susceptibility to toxic agents, including differences in absorption, gut flora, tissue distribution, metabolism, mechanisms and efficiencies of repair, and excretion. The problem of the heterogenicity of the human population is addressed through several chapters that assess the availability and prospects of developing predictive animal models for normal humans, as well as selected potential high-risk groups. Other topics presented in this book include the biological basis of regulatory actions involving attempts to extrapolate from exceptionally high exposure levels to realistic values, especially carcinogens; an assessment of genotoxicity tests, their ability to predict carcinogenicity in whole animals, and the manner in which they should be used by regulatory agencies; birth defects; and predicting the risk of human teratogenesis. Principle of Animal Extrapolation is essential for environmental toxicologists. It also provides valuable information to biomedical scientists (especially those involved in drug development and testing) and regulatory personnel in agencies such as the EPA, the OSHA, the NIOSH, and the FDA.
Book Synopsis Extrapolation and Rational Approximation by : Claude Brezinski
Download or read book Extrapolation and Rational Approximation written by Claude Brezinski and published by Springer Nature. This book was released on 2020-11-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects. A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the “actors.” This book shows how research in this domain started and evolved. Biographies of other scholars encountered have also been included. An important branch of mathematics is described in its historical context, opening the way to new developments. After a mathematical introduction, the book contains a precise description of the mathematical landscape of these fields spanning from the 19th century to the first part of the 20th. After an analysis of the works produced after that period (in particular those of Richardson, Aitken, Shanks, Wynn, and others), the most recent developments and applications are reviewed.
Book Synopsis On the Extrapolation with the Denton Proportional Benchmarking Method by : Mr.Tommaso Di Fonzo
Download or read book On the Extrapolation with the Denton Proportional Benchmarking Method written by Mr.Tommaso Di Fonzo and published by International Monetary Fund. This book was released on 2012-06-01 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical offices have often recourse to benchmarking methods for compiling quarterly national accounts (QNA). Benchmarking methods employ quarterly indicator series (i) to distribute annual, more reliable series of national accounts and (ii) to extrapolate the most recent quarters not yet covered by annual benchmarks. The Proportional First Differences (PFD) benchmarking method proposed by Denton (1971) is a widely used solution for distribution, but in extrapolation it may suffer when the movements in the indicator series do not match consistently the movements in the target annual benchmarks. For this reason, an enhanced formula for extrapolation was recommended by the IMF’s Quarterly National Accounts Manual: Concepts, Data Sources, and Compilation (2001). We discuss the rationale behind this technique, and propose a matrix formulation of it. In addition, we present applications of the enhanced formula to artificial and real-life benchmarking examples showing how the extrapolations for the most recent quarters can be improved.
Book Synopsis Interpolation and Extrapolation Optimal Designs V1 by : Giorgio Celant
Download or read book Interpolation and Extrapolation Optimal Designs V1 written by Giorgio Celant and published by John Wiley & Sons. This book was released on 2016-06-07 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.
Book Synopsis Seismic Migration: Imaging of Acoustic Energy by Wave Field Extrapolation.. by : A. J. Berkhout
Download or read book Seismic Migration: Imaging of Acoustic Energy by Wave Field Extrapolation.. written by A. J. Berkhout and published by Elsevier. This book was released on 2012-12-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismic Migration: Imaging of Acoustic Energy by Wave Field Extrapolation, Second Edition, Volume A: Theoretical Aspects covers the theoretical aspects of seismic migration techniques. This volume is divided into 11 chapters that consider the concept of propagation and scattering matrices. This book begins with a presentation of a selection of concepts and properties of seismic migration from vector analysis. These topics are followed by considerable chapters on the mathematical aspects of migration, including discrete spectral analysis, two-dimensional Fourier transforms, and wave theory. The subsequent chapters describe the derivation of the Kirchhoff integral for upward traveling wave field and wave field extrapolation for downward traveling source waves and upward traveling reflected waves. These chapters also propose a matrix formulation to represent single seismic record and multi-record data sets, along with different modeling algorithms. A chapter examines inverse wave field extrapolation, in which the medium must be horizontally layered, the layers being homogeneous. The book ends with a summary and comparison of different approaches to seismic migration.
Book Synopsis Geographical Extrapolation of Typical Hourly Weather Data for Energy Calculation in Buildings by : Edward A. Arens
Download or read book Geographical Extrapolation of Typical Hourly Weather Data for Energy Calculation in Buildings written by Edward A. Arens and published by . This book was released on 1980 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Difference Methods and Their Extrapolations by : G.I. Marchuk
Download or read book Difference Methods and Their Extrapolations written by G.I. Marchuk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stimulus for the present work is the growing need for more accurate numerical methods. The rapid advances in computer technology have not provided the resources for computations which make use of methods with low accuracy. The computational speed of computers is continually increasing, while memory still remains a problem when one handles large arrays. More accurate numerical methods allow us to reduce the overall computation time by of magnitude. several orders The problem of finding the most efficient methods for the numerical solution of equations, under the assumption of fixed array size, is therefore of paramount importance. Advances in the applied sciences, such as aerodynamics, hydrodynamics, particle transport, and scattering, have increased the demands placed on numerical mathematics. New mathematical models, describing various physical phenomena in greater detail than ever before, create new demands on applied mathematics, and have acted as a major impetus to the development of computer science. For example, when investigating the stability of a fluid flowing around an object one needs to solve the low viscosity form of certain hydrodynamic equations describing the fluid flow. The usual numerical methods for doing so require the introduction of a "computational viscosity," which usually exceeds the physical value; the results obtained thus present a distorted picture of the phenomena under study. A similar situation arises in the study of behavior of the oceans, assuming weak turbulence. Many additional examples of this type can be given.
Book Synopsis Enhancements to the Cross Correlation Technique for Extrapolating Geostationary Satellite Imagery by : Kenneth F. Heideman
Download or read book Enhancements to the Cross Correlation Technique for Extrapolating Geostationary Satellite Imagery written by Kenneth F. Heideman and published by . This book was released on 1996 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extrapolation and Optimal Decompositions by : Mario Milman
Download or read book Extrapolation and Optimal Decompositions written by Mario Milman and published by Springer. This book was released on 2006-11-15 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived.
Download or read book Biosimilars written by Hiten J. Gutka and published by Springer. This book was released on 2018-12-13 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the biosimilar regulatory framework, the development process and clinical aspects for development of biosimilars. The development path of a biosimilar is just as unique as a development path of a new drug, tailored by the mechanism of action, the quality of the molecule, published information on the reference product, the current competitive environment, the target market and regulatory guidance, and most importantly, the emerging totality of evidence for the proposed biosimilar during development. For the ease of readers, the book comprises of six sections as follows: Section I: Business, Health Economics and Intellectual Property Landscape for Biosimilars Section II: Regulatory Aspects of Development and Approval for Biosimilars Section III: Biopharmaceutical Development and Manufacturing of Biosimilars Section IV: Analytical Similarity Considerations for Biosimilars Section V: Clinical aspects of Biosimilar Development Section VI: Biosimilars- Global Development and Clinical Experience Chapters have been written by one or more experts from academia, industry or regulatory agencies who have been involved with one or more aspects of biosimilar product development. The authors and editors have an expertise in commercialization and pricing of biosimilars, intellectual property considerations for biosimilars, chemistry manufacturing controls (CMC) and analytical development for biosimilars, regulatory and clinical aspects of biosimilar development. Besides the industry practitioners, the book includes several contributions from regulators across the globe.
