Asymptotics And Extrapolation
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Asymptotics And Extrapolation
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Author : Guido Walz
language : en
Publisher: Wiley-VCH
Release Date : 1996-04-25
Asymptotics And Extrapolation written by Guido Walz and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-25 with Mathematics categories.
Extrapolation methods, used to accelerate the convergence of a given sequence of numbers, vectors, or matrices, play an important role in many branches of numerical analysis. This book provides a detailed survey of linear extrapolation methods, investigates their properties and efficiency, and establishes some generalizations. The applicability of extrapolation methods is strongly connected with the existence of an asymptropic expansion of the sequence under consideration. Therefore, the first part of the book is devoted to the investigation of asymptropic expansions and their appearance in different fields. Includes examples and problems. Distributed by VCH. Annotation copyrighted by Book News, Inc., Portland, OR
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.
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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.
Asymptotic Expansions Extrapolations And Superconvergence For Mixed Finite Element Methods On Rectangular Domains
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Author : Junping Wang
language : en
Publisher:
Release Date : 1989
Asymptotic Expansions Extrapolations And Superconvergence For Mixed Finite Element Methods On Rectangular Domains written by Junping Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
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.
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.
Extrapolation And Rational Approximation
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Author : Claude Brezinski
language : en
Publisher: Springer Nature
Release Date : 2020-11-30
Extrapolation And Rational Approximation written by Claude Brezinski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-30 with Mathematics categories.
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.
Large Deviations And Asymptotic Methods In Finance
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Author : Peter K. Friz
language : en
Publisher: Springer
Release Date : 2015-08-14
Large Deviations And Asymptotic Methods In Finance written by Peter K. Friz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with Mathematics categories.
Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic risk and volatility estimation. This volume gathers together ground-breaking results in this field by some of its leading experts. Over the past decade, asymptotic methods have played an increasingly important role in the study of the behaviour of (financial) models. These methods provide a useful alternative to numerical methods in settings where the latter may lose accuracy (in extremes such as small and large strikes, and small maturities), and lead to a clearer understanding of the behaviour of models, and of the influence of parameters on this behaviour. Graduate students, researchers and practitioners will find this book very useful, and the diversity of topics will appeal to people from mathematical finance, probability theory and differential geometry.
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.
Interpolation Of Spatial Data
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Author : Michael L. Stein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Interpolation Of Spatial Data written by Michael L. Stein 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.
A summary of past work and a description of new approaches to thinking about kriging, commonly used in the prediction of a random field based on observations at some set of locations in mining, hydrology, atmospheric sciences, and geography.