Extrapolation

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The Splitting Extrapolation Method
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Author : C. B. Liem
language : en
Publisher: World Scientific
Release Date : 1995
The Splitting Extrapolation Method written by C. B. Liem and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
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.
Extrapolation Practice For Ecotoxicological Effect Characterization Of Chemicals
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Author : Keith R. Solomon
language : en
Publisher: CRC Press
Release Date : 2008-05-23
Extrapolation Practice For Ecotoxicological Effect Characterization Of Chemicals written by Keith R. Solomon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-23 with Science categories.
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
Difference Methods And Their Extrapolations
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Author : G.I. Marchuk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Difference Methods And Their Extrapolations written by G.I. Marchuk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Survey Of Current Business
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Author :
language : en
Publisher:
Release Date : 2012
Survey Of Current Business written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Commercial statistics categories.
State Estimation For Nonlinear Continuous Discrete Stochastic Systems
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Author : Gennady Yu. Kulikov
language : en
Publisher: Springer Nature
Release Date : 2024-09-06
State Estimation For Nonlinear Continuous Discrete Stochastic Systems written by Gennady Yu. Kulikov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-06 with Technology & Engineering categories.
This book addresses the problem of accurate state estimation in nonlinear continuous-time stochastic models with additive noise and discrete measurements. Its main focus is on numerical aspects of computation of the expectation and covariance in Kalman-like filters rather than on statistical properties determining a model of the system state. Nevertheless, it provides the sound theoretical background and covers all contemporary state estimation techniques beginning at the celebrated Kalman filter, including its versions extended to nonlinear stochastic models, and till the most advanced universal Gaussian filters with deterministically sampled mean and covariance. In particular, the authors demonstrate that, when applying such filtering procedures to stochastic models with strong nonlinearities, the use of adaptive ordinary differential equation solvers with automatic local and global error control facilities allows the discretization error—and consequently the state estimation error—to be reduced considerably. For achieving that, the variable-stepsize methods with automatic error regulation and stepsize selection mechanisms are applied to treating moment differential equations arisen. The implemented discretization error reduction makes the self-adaptive nonlinear Gaussian filtering algorithms more suitable for application and leads to the novel notion of accurate state estimation. The book also discusses accurate state estimation in mathematical models with sparse measurements. Of special interest in this regard, it provides a means for treating stiff stochastic systems, which often encountered in applied science and engineering, being exemplified by the Van der Pol oscillator in electrical engineering and the Oregonator model of chemical kinetics. Square-root implementations of all Kalman-like filters considered and explored in this book for state estimation in Ill-conditioned continuous–discrete stochastic systems attract the authors’ particular attention. This book covers both theoretical and applied aspects of numerical integration methods, including the concepts of approximation, convergence, stiffness as well as of local and global errors, suitably for applied scientists and engineers. Such methods serve as a basis for the development of accurate continuous–discrete extended, unscented, cubature and many other Kalman filtering algorithms, including the universal Gaussian methods with deterministically sampled expectation and covariance as well as their mixed-type versions. The state estimation procedures in this book are presented in the fashion of complete pseudo-codes, which are ready for implementation and use in MATLAB® or in any other computation platform. These are examined numerically and shown to outperform traditional variants of the Kalman-like filters in practical prediction/filtering tasks, including state estimations of stiff and/or ill-conditioned continuous–discrete nonlinear stochastic systems.
New Insights Into Structural Interpretation And Modelling
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Author : Geological Society of London
language : en
Publisher: Geological Society of London
Release Date : 2003
New Insights Into Structural Interpretation And Modelling written by Geological Society of London and has been published by Geological Society of London this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
Foundations Of Intelligent Systems
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Author : Aijun An
language : en
Publisher: Springer
Release Date : 2008-05-10
Foundations Of Intelligent Systems written by Aijun An and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-10 with Computers categories.
This volume contains the papers selected for presentation at the 17th Inter- tional Symposium on Methodologies for Intelligent Systems (ISMIS 2008), held in York University, Toronto, Canada, May 21–23, 2008. ISMIS is a conference series started in 1986. Held twice every three years, ISMIS provides an inter- tional forum for exchanging scienti?c research and technological achievements in building intelligent systems. Its goal is to achieve a vibrant interchange - tween researchers and practitioners on fundamental and advanced issues related to intelligent systems. ISMIS 2008featureda selectionof latestresearchworkandapplicationsfrom the following areas related to intelligent systems: active media human–computer interaction, autonomic and evolutionary computation, digital libraries, intel- gent agent technology, intelligent information retrieval, intelligent information systems, intelligent language processing, knowledge representation and integ- tion, knowledge discovery and data mining, knowledge visualization, logic for arti?cial intelligence, soft computing, Web intelligence, and Web services. - searchers and developers from 29 countries submitted more than 100 full - pers to the conference. Each paper was rigorously reviewed by three committee members and external reviewers. Out of these submissions, 40% were selected as regular papers and 22% as short papers. ISMIS 2008 also featured three plenary talks given by John Mylopoulos, Jiawei Han and Michael Lowry. They spoke on their recent research in age- oriented software engineering, information network mining, and intelligent so- ware engineering tools, respectively.
An Introduction To The Theory Of Stationary Random Functions
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Author : A. M. Yaglom
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01
An Introduction To The Theory Of Stationary Random Functions written by A. M. Yaglom and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
This two-part treatment covers the general theory of stationary random functions and the Wiener-Kolmogorov theory of extrapolation and interpolation of random sequences and processes. Beginning with the simplest concepts, it covers the correlation function, the ergodic theorem, homogenous random fields, and general rational spectral densities, among other topics. Numerous examples appear throughout the text, with emphasis on the physical meaning of mathematical concepts. Although rigorous in its treatment, this is essentially an introduction, and the sole prerequisites are a rudimentary knowledge of probability and complex variable theory. 1962 edition.
Toxicology And Risk Assessment
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Author : Helmut Greim
language : en
Publisher: John Wiley & Sons
Release Date : 2018-08-10
Toxicology And Risk Assessment written by Helmut Greim and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-10 with Science categories.
Provides a complete understanding of how our bodies respond to toxicants, and the principles used to assess the health risks of specific exposure scenarios Toxicology and Risk Assessment: A Comprehensive Introduction, Second Edition reflects recent advances in science and technology, and provides the scientific background and methodological issues to enable the reader to understand the basic principles in toxicology and to evaluate the health risks of specific exposure scenarios. Completely updated with the latest information, this book offers a concise introduction to the subject. It is divided into five sections: Principles in Toxicology, Organ Toxicology, Methods in Toxicology, Regulatory Toxicology, and Specific Toxicity. The 2nd Edition adds new chapters that cover recent scientific and technological advances and current topics including the endocrine system, alternatives to animal testing, risk assessment and thresholds for carcinogens, European and international regulation, nanomaterials, fuels, fragrances, and agrochemicals. Concentrates on the basic concepts of toxicology and provides sufficient information for the reader to become familiar with them in order to understand the principles and to evaluate the risks at given exposures 30% new chapters cover recent scientific and technological advances including alternatives to animal testing; genotoxic carcinogens; REACH regulations; nanomaterials; fuels; fragrances; PAHs; and agrochemicals Written by a team of international specialists, and edited by two outstanding scientists in the field Fully updated and expanded, Toxicology and Risk Assessment: A Comprehensive Introduction, Second Edition is an essential text for any student or researcher with an interest in toxicology and related risk assessments.
Estimation Of Response Spectra And Peak Accelerations From Western North America Earthquakes
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Author : D. M. Boore
language : en
Publisher: DIANE Publishing
Release Date : 1994-05
Estimation Of Response Spectra And Peak Accelerations From Western North America Earthquakes written by D. M. Boore and has been published by DIANE Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05 with Nature categories.
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