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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 : Amilcare Pozzi
Publisher : World Scientific
ISBN 13 : 9814504092
Total Pages : 257 pages
Book Rating : 4.8/5 (145 download)
Download or read book Applications Of Pade' Approximation Theory In Fluid Dynamics written by Amilcare Pozzi and published by World Scientific. This book was released on 1994-03-07 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although Padé presented his fundamental paper at the end of the last century, the studies on Padé's approximants only became significant in the second part of this century.Padé procedure is related to the theory of continued fractions, and some convergence theorems can be expressed only in terms of continued fractions. Further, Padé approximants have some advantages of practical applicability with respect to the continued-fraction theory. Moreover, as Chisholm notes, a given power series determines a set of approximants which are usually unique, whereas there are many ways of writing an associated continued fraction.The principal advantage of Padé approximants with respect to the generating Taylor series is that they provide an extension beyond the interval of convergence of the series.Padé approximants can be applied in many parts of fluid-dynamics, both in steady and in nonsteady flows, both in incompressible and in compressible regimes.This book is divided into four parts. The first one deals with the properties of the Padé approximants that are useful for the applications and illustrates, with the aid of diagrams and tables, the effectiveness of this technique in the field of applied mathematics. The second part recalls the basic equations of fluid-dynamics (those associated with the names of Navier-Stokes, Euler and Prandtl) and gives a quick derivation of them from the general balance equation. The third shows eight examples of the application of Padé approximants to steady flows, also taking into account the influence of the coupling of heat conduction in the body along which a fluid flows with conduction and convection in the fluid itself. The fourth part considers two examples of the application of Padé approximants to unsteady flows.
Author : M.G. de Bruin
Publisher : Springer
ISBN 13 : 3540386068
Total Pages : 393 pages
Book Rating : 4.5/5 (43 download)
Download or read book Pade Approximation and its Applications, Amsterdam 1980 written by M.G. de Bruin and published by Springer. This book was released on 2006-12-08 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Conference on Padé Approximation and Its Applications
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (746 download)
Download or read book Padé approximation and its applications written by Conference on Padé Approximation and Its Applications and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : 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 : L. Wuytack
Publisher :
ISBN 13 : 9783662199978
Total Pages : 404 pages
Book Rating : 4.1/5 (999 download)
Download or read book Pade Approximation and Its Applications written by L. Wuytack and published by . This book was released on 2014-09-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Padé Approximation and Its Applications written by and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Padé Approximation and Its Applications written by and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E.B. Safe
Publisher : Elsevier
ISBN 13 : 0323147771
Total Pages : 506 pages
Book Rating : 4.3/5 (231 download)
Download or read book Pade and Rational Approximation written by E.B. Safe and published by Elsevier. This book was released on 2013-05-09 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Padé and Rational Approximation: Theory and Applications presents the proceedings of the Conference on Rational Approximation with Emphasis on Applications of Padé Approximants, held in Tampa, Florida on December 15-17, 1976. The contributors focus on the interplay of theory, computation, and physical applications. This book is composed of six parts encompassing 44 chapters. The introductory part discusses the general theory of orthogonal polynomials that is the mathematical basis of Padé approximants and related matters evaluation. This text also examines the connection between approximants on a stepline in the ordinary Padé table and certain continued fractions and the convergence of diagonal Padé approximants to a class of functions with an even number of branch points. The following parts deal with the special functions and continued fractions of Padé approximation and the theory of rational approximations. These parts also investigate the geometric convergence of Chebyshev rational approximation on the half line, the optimal approximation by “Almost Classical interpolation, and the incomplete polynomials approximation. The discussion then shifts to the physical applications and computations of the Padé approximants. The concluding part presents the applications of rational approximation to gun fire control and to the White Sands Missile Range Computer Facility. This part also provides a list of some open problems and conjectures concerning polynomials and rational functions. This book is of great benefit to mathematicians, physicists, and laboratory workers.
Author :
Publisher : Academic Press
ISBN 13 : 0080955800
Total Pages : 398 pages
Book Rating : 4.0/5 (89 download)
Download or read book The Padé Approximant in Theoretical Physics written by and published by Academic Press. This book was released on 1971-02-27 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Download or read book Pade Approximation and Its Applications written by and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Conference on Pade approximation and its applications, Antwerp. 1979
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (637 download)
Download or read book Pade Approximation and Its Applications; Proceedings written by Conference on Pade approximation and its applications, Antwerp. 1979 and published by . This book was released on 1979 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacek Gilewicz
Publisher : Springer
ISBN 13 : 3540474129
Total Pages : 362 pages
Book Rating : 4.5/5 (44 download)
Download or read book Rational Approximation and its Applications in Mathematics and Physics written by Jacek Gilewicz and published by Springer. This book was released on 2006-11-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 1611975948
Total Pages : 375 pages
Book Rating : 4.6/5 (119 download)
Download or read book Approximation Theory and Approximation Practice, Extended Edition written by Lloyd N. Trefethen and published by SIAM. This book was released on 2019-01-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.
