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Author : George A. Jr. Baker
Publisher : Elsevier
ISBN 13 : 0323156150
Total Pages : 319 pages
Book Rating : 4.3/5 (231 download)
Download or read book Essentials of Padé Approximants written by George A. Jr. Baker and published by Elsevier. This book was released on 1975-01-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essentials of Padé Approximants
Author : George George Allen Baker
Publisher :
ISBN 13 : 9780124333055
Total Pages : 306 pages
Book Rating : 4.3/5 (33 download)
Download or read book Essentials of Pade approximants written by George George Allen Baker and published by . This book was released on 1975 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Jr Baker
Publisher :
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.:/5 (76 download)
Download or read book Essentials of Padé Approximants written by George Jr Baker and published by . This book was released on 1975 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Allen Baker
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)
Download or read book Essentials of Padé Approximants written by George Allen Baker and published by . This book was released on 1975 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claude Brezinski
Publisher : Springer Science & Business Media
ISBN 13 : 3642581692
Total Pages : 556 pages
Book Rating : 4.6/5 (425 download)
Download or read book History of Continued Fractions and Padé Approximants written by Claude Brezinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...
Author : A. Bultheel
Publisher : Birkhäuser
ISBN 13 : 303489306X
Total Pages : 277 pages
Book Rating : 4.0/5 (348 download)
Download or read book Laurent Series and their Padé Approximations written by A. Bultheel and published by Birkhäuser. This book was released on 2012-12-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. It is known to be important to solve a large scale of problems in numerical analysis, linear system theory, stochastics and other fields. There exists a vast literature on the classical Pade problem. However, these papers mostly treat the problem for functions analytic at 0 or, in a purely algebraic sense, they treat the approximation of formal power series. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. In this monograph, the problem of Laurent-Pade approximation is central. In this problem a ratio of two Laurent polynomials in sought which approximates the two directions of the Laurent series simultaneously. As a side result the two-point Pade approximation problem can be solved. In that case, two series are approximated, one is a power series in z and the other is a power series in z-l. So we can approximate two, not necessarily different functions one at zero and the other at infinity.
Author : George Allen Baker
Publisher : Cambridge University Press
ISBN 13 : 0521450071
Total Pages : 762 pages
Book Rating : 4.5/5 (214 download)
Download or read book Pade Approximants written by George Allen Baker and published by Cambridge University Press. This book was released on 1996-01-26 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was reviewed in 1982 as "the most extensive treatment of Pade approximants actually available." This second edition has been thoroughly updated, with a substantial new chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.
Author : Claude Brezinski
Publisher : Springer Nature
ISBN 13 : 3030584186
Total Pages : 410 pages
Book Rating : 4.0/5 (35 download)
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.
Author : Werner Hildenbrand
Publisher : Cambridge University Press
ISBN 13 : 9780521312677
Total Pages : 316 pages
Book Rating : 4.3/5 (126 download)
Download or read book Advances in Econometrics written by Werner Hildenbrand and published by Cambridge University Press. This book was released on 1985-08-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes papers delivered at the Fourth World Congress of the Econometric Society. It will interest economic theorists and econometricians working in universities, government, and business and financial institutions.
Author : L. Wuytack
Publisher : Springer
ISBN 13 : 3540385118
Total Pages : 403 pages
Book Rating : 4.5/5 (43 download)
Download or read book Pade Approximation and its Applications written by L. Wuytack and published by Springer. This book was released on 2006-11-15 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Werner
Publisher : Springer
ISBN 13 : 3540389148
Total Pages : 273 pages
Book Rating : 4.5/5 (43 download)
Download or read book Pade Approximations and its Applications written by H. Werner and published by Springer. This book was released on 2006-12-08 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John P. Boyd
Publisher : SIAM
ISBN 13 : 161197352X
Total Pages : 446 pages
Book Rating : 4.6/5 (119 download)
Download or read book Solving Transcendental Equations written by John P. Boyd and published by SIAM. This book was released on 2014-09-23 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
Author : Martha Abell
Publisher : Springer Nature
ISBN 13 : 3030122778
Total Pages : 373 pages
Book Rating : 4.0/5 (31 download)
Download or read book Topics in Classical and Modern Analysis written by Martha Abell and published by Springer Nature. This book was released on 2019-10-21 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume. The topics included are Fourier analysis, Padè approximation, dynamical systems and difference operators, splines, Christoffel functions, best approximation, discrepancy theory and Jackson-type theorems of approximation. The articles of this collection were originated from the International Conference in Approximation Theory, held in Savannah, GA in 2017, and organized by the editors of this volume.
Author : A. Cuyt
Publisher : Springer
ISBN 13 : 3540388788
Total Pages : 148 pages
Book Rating : 4.5/5 (43 download)
Download or read book Pade Approximants for Operators written by A. Cuyt and published by Springer. This book was released on 2006-12-08 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George A. Baker
Publisher :
ISBN 13 : 9781306148443
Total Pages : pages
Book Rating : 4.1/5 (484 download)
Download or read book Pade Approximants written by George A. Baker and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Allen Baker
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (97 download)
Download or read book Padé Approximants: Basic theory written by George Allen Baker and published by . This book was released on 1981 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrei I Tolstykh
Publisher : World Scientific
ISBN 13 : 9814502359
Total Pages : 334 pages
Book Rating : 4.8/5 (145 download)
Download or read book High Accuracy Non-centered Compact Difference Schemes For Fluid Dynamics Applications written by Andrei I Tolstykh and published by World Scientific. This book was released on 1994-09-09 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book which describes completely the nontraditional difference schemes which combine the ideas of Padé-type approximation and upwind differencing. These possess some favorable properties and can be used to solve various problems in fluid dynamics and related disciplines. They were proposed by the author in the seventies and are extensively used in Russia. However, they seem to be relatively unknown outside the country. In this book, the author presents the theory of the schemes, to provide some sophisticated algorithms for different computational fluid dynamics problems, to supply readers with useful information which would permit them to construct a rich variety of algorithms of this type and to illustrate the applications of these methods to the numerical simulation of various fluid dynamics phenomena, ranging from supersonic viscous flows to some atmosphere and ocean processes. This book is an essential guide for anyone keenly interested in this field.
