Author: Avram SidiPublisher: Cambridge University Press
ISBN: 9780521661591
Category : Computers
Languages : en
Pages : 546
Book Description
Table of contents
Practical Extrapolation Methods
Author: Avram SidiPublisher: Cambridge University Press
ISBN: 9780521661591
Category : Computers
Languages : en
Pages : 546
Book Description
Table of contents
Extrapolation Methods
Author: C. BrezinskiPublisher: Elsevier
ISBN: 0080506224
Category : Computers
Languages : en
Pages : 475
Book Description
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
Author: Avram SidiPublisher:
ISBN: 9780511180583
Category : Electronic books
Languages : en
Pages : 519
Book Description
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
Author: Zahari ZlatevPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110533006
Category : Mathematics
Languages : en
Pages : 309
Book Description
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
Practical Extrapolation Methods
Author: Avram SidiPublisher:
ISBN:
Category : Extrapolation
Languages : en
Pages : 519
Book Description
Richardson Extrapolation
Author: Zahari ZlatevPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110531984
Category : Mathematics
Languages : en
Pages : 309
Book Description
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 Practice for Ecotoxicological Effect Characterization of Chemicals
Author: Keith R. SolomonPublisher: CRC Press
ISBN: 1420073923
Category : Science
Languages : en
Pages : 408
Book Description
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
Numerical Methods that Work
Author: Forman S. ActonPublisher: American Mathematical Soc.
ISBN: 147045727X
Category : Mathematics
Languages : en
Pages : 549
Book Description
The Splitting Extrapolation Method
Author: C. B. LiemPublisher: World Scientific
ISBN: 9789810222178
Category : Mathematics
Languages : en
Pages : 344
Book Description
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
Author: Avram SidiPublisher: SIAM
ISBN: 1611974968
Category : Science
Languages : en
Pages : 433
Book Description
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.