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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 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 : 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 : 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. 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 : 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 : 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 :
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
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 : 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 :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (319 download)
Download or read book Padé Approximants: Extensions and applications written by George Allen Baker and published by . This book was released on 1981 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. R. Graves-Morris
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)
Download or read book Pade Approximants and Their Applications written by P. R. Graves-Morris and published by . This book was released on 1973 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Cuyt
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.3/5 (91 download)
Download or read book Pade Approximants for Operators written by A. Cuyt and published by Lecture Notes in Mathematics. This book was released on 1984-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Cuyt
Publisher : Springer Science & Business Media
ISBN 13 : 9400929013
Total Pages : 459 pages
Book Rating : 4.4/5 (9 download)
Download or read book Nonlinear Numerical Methods and Rational Approximation written by A. Cuyt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; use Stein spaces. And in addition to this there are and prediction and electrical engineering can such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Annie Cuyt
Publisher : Springer
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (318 download)
Download or read book Padé Approximants for Operators written by Annie Cuyt and published by Springer. This book was released on 1984 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Allen Baker
Publisher :
ISBN 13 : 9780201135121
Total Pages : 325 pages
Book Rating : 4.1/5 (351 download)
Download or read book Padé Approximants: Basic theory written by George Allen Baker and published by . This book was released on 1981-01-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. Energy Research and Development Administration
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (31 download)
Download or read book Technical Books & Monographs written by United States. Energy Research and Development Administration and published by . This book was released on 1976 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
