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Practical Extrapolation Methods


Practical Extrapolation Methods
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Practical Extrapolation Methods


Practical Extrapolation Methods
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Author : Avram Sidi
language : en
Publisher: Cambridge University Press
Release Date : 2003-06-05

Practical Extrapolation Methods written by Avram Sidi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-05 with Computers categories.


Table of contents



Extrapolation Methods


Extrapolation Methods
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Author : C. Brezinski
language : en
Publisher: Elsevier
Release Date : 2013-10-24

Extrapolation Methods written by C. Brezinski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-24 with Computers categories.


This volume is a self-contained, exhaustive exposition of the extrapolation methods theory, and of the various algorithms and procedures for accelerating the convergence of scalar and vector sequences. Many subroutines (written in FORTRAN 77) with instructions for their use are provided on a floppy disk in order to demonstrate to those working with sequences the advantages of the use of extrapolation methods. Many numerical examples showing the effectiveness of the procedures and a consequent chapter on applications are also provided – including some never before published results and applications. Although intended for researchers in the field, and for those using extrapolation methods for solving particular problems, this volume also provides a valuable resource for graduate courses on the subject.



Practical Extrapolation Methods


Practical Extrapolation Methods
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Author : Avram Sidi
language : en
Publisher:
Release Date : 2003

Practical Extrapolation Methods written by Avram Sidi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Electronic books categories.


This book is concerned with the coherent treatment, including the derivation, analysis, and applications, of the most useful scalar extrapolation methods. It differs from existing books by focusing on the most powerful nonlinear methods, presenting in-depth treatments of them, and showing which methods are most effective for different classes of practical nontrivial problems. Finally, it shows how to apply these methods to obtain best results.



Richardson Extrapolation


Richardson Extrapolation
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Author : Zahari Zlatev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-11-07

Richardson Extrapolation written by Zahari Zlatev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with Mathematics categories.


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. ContentsThe basic properties of Richardson extrapolationRichardson extrapolation for explicit Runge-Kutta methodsLinear multistep and predictor-corrector methodsRichardson extrapolation for some implicit methodsRichardson extrapolation for splitting techniquesRichardson extrapolation for advection problemsRichardson extrapolation for some other problemsGeneral conclusions



Extrapolation Methods


Extrapolation Methods
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Author :
language : en
Publisher:
Release Date : 1970

Extrapolation Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Error analysis (Mathematics) categories.




The Splitting Extrapolation Method


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


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



Splitting Extrapolation Method The A New Technique In Numerical Solution Of Multidimensional Prob


Splitting Extrapolation Method The A New Technique In Numerical Solution Of Multidimensional Prob
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Author : C B Liem
language : en
Publisher: World Scientific
Release Date : 1995-09-30

Splitting Extrapolation Method The A New Technique In Numerical Solution Of Multidimensional Prob 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 1995-09-30 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.



Vector Extrapolation Methods With Applications


Vector Extrapolation Methods With Applications
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Author : Avram Sidi
language : en
Publisher: SIAM
Release Date : 2017-09-26

Vector Extrapolation Methods With Applications written by Avram Sidi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-26 with Science categories.


An important problem that arises in different disciplines of science and engineering is that of computing limits of sequences of vectors of very large dimension. Such sequences arise, for example, in the numerical solution of systems of linear and nonlinear equations by fixed-point iterative methods, and their limits are simply the required solutions to these systems. The convergence of these sequences, which is very slow in many cases, can be accelerated successfully by using suitable vector extrapolation methods. Vector Extrapolation Methods with Applications is the first book fully dedicated to the subject of vector extrapolation methods. It is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. It covers all aspects of the subject, including development of the methods, their convergence study, numerically stable algorithms for their implementation, and their various applications. It also provides complete proofs in most places. As an interesting application, the author shows how these methods give rise to rational approximation procedures for vector-valued functions in the complex plane, a subject of importance in model reduction problems among others. This book is intended for numerical analysts, applied mathematicians, and computational scientists and engineers in fields such as computational fluid dynamics, structures, and mechanical and electrical engineering, to name a few. Since it provides complete proofs in most places, it can also serve as a textbook in courses on acceleration of convergence of iterative vector processes, for example.



Application Of Richardson S Extrapolation To Numerical Evaluation Of Sonic Boom Integrals


Application Of Richardson S Extrapolation To Numerical Evaluation Of Sonic Boom Integrals
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Author : William B. Igoe
language : en
Publisher:
Release Date : 1967

Application Of Richardson S Extrapolation To Numerical Evaluation Of Sonic Boom Integrals written by William B. Igoe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Extrapolation categories.