Nonlinear Numerical Methods And Rational Approximation Ii
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Nonlinear Numerical Methods And Rational Approximation Ii
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Author : A. Cuyt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Numerical Methods And Rational Approximation Ii written by A. Cuyt 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.
These are the proceedings of the international conference on "Nonlinear numerical methods and Rational approximation II" organised by Annie Cuyt at the University of Antwerp (Belgium), 05-11 September 1993. It was held for the third time in Antwerp at the conference center of UIA, after successful meetings in 1979 and 1987 and an almost yearly tradition since the early 70's. The following figures illustrate the growing number of participants and their geographical dissemination. In 1993 the Belgian scientific committee consisted of A. Bultheel (Leuven), A. Cuyt (Antwerp), J. Meinguet (Louvain-Ia-Neuve) and J.-P. Thiran (Namur). The conference focused on the use of rational functions in different fields of Numer ical Analysis. The invited speakers discussed "Orthogonal polynomials" (D. S. Lu binsky), "Rational interpolation" (M. Gutknecht), "Rational approximation" (E. B. Saff) , "Pade approximation" (A. Gonchar) and "Continued fractions" (W. B. Jones). In contributed talks multivariate and multidimensional problems, applications and implementations of each main topic were considered. To each of the five main topics a separate conference day was devoted and a separate proceedings chapter compiled accordingly. In this way the proceedings reflect the organisation of the talks at the conference. Nonlinear numerical methods and rational approximation may be a nar row field for the outside world, but it provides a vast playground for the chosen ones. It can fascinate specialists from Moscow to South-Africa, from Boulder in Colorado and from sunny Florida to Zurich in Switzerland.
Nonlinear Numerical Methods And Rational Approximation Ii
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Author : A Cuyt
language : en
Publisher:
Release Date : 1994-07-31
Nonlinear Numerical Methods And Rational Approximation Ii written by A Cuyt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-31 with categories.
These are the proceedings of the international conference on Nonlinear Numerical Methods and Rational Approximation II, which Dr. Cuyt organized at the University of Antwerp, Belgium, 5--11 September 1992. The conference focused on the use of rational functions in different fields of numerical analysis. The invited speakers discussed five main topics, which are represented by the five sections of this book: orthogonal polynomials, rational interpolation, rational approximation, Pade approximation and continued fractions. Multivariate and multidimensional problems, application and implementations of each main topic are also considered. For specialists in the field of nonlinear numerical methods and rational approximation.
Nonlinear Numerical Methods And Rational Approximation
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Author : A. Cuyt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Numerical Methods And Rational Approximation written by A. Cuyt 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.
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.
Nonlinear Methods In Numerical Analysis
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Author : A. Cuyt
language : en
Publisher: Elsevier
Release Date : 1987-03-01
Nonlinear Methods In Numerical Analysis written by A. Cuyt and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-03-01 with Computers categories.
While most textbooks on Numerical Analysis discuss linear techniques for the solution of various numerical problems, this book introduces and illustrates nonlinear methods. It presents several nonlinear techniques resulting mainly from the use of Padé approximants and rational interpolants.
Nonlinear Approximation Theory
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Author : Dietrich Braess
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Approximation Theory written by Dietrich Braess 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.
The first investigations of nonlinear approximation problems were made by P.L. Chebyshev in the last century, and the entire theory of uniform approxima tion is strongly connected with his name. By making use of his ideas, the theories of best uniform approximation by rational functions and by polynomials were developed over the years in an almost unified framework. The difference between linear and rational approximation and its implications first became apparent in the 1960's. At roughly the same time other approaches to nonlinear approximation were also developed. The use of new tools, such as nonlinear functional analysis and topological methods, showed that linearization is not sufficient for a complete treatment of nonlinear families. In particular, the application of global analysis and the consideration of flows on the family of approximating functions intro duced ideas which were previously unknown in approximation theory. These were and still are important in many branches of analysis. On the other hand, methods developed for nonlinear approximation prob lems can often be successfully applied to problems which belong to or arise from linear approximation. An important example is the solution of moment problems via rational approximation. Best quadrature formulae or the search for best linear spaces often leads to the consideration of spline functions with free nodes. The most famous problem of this kind, namely best interpolation by poly nomials, is treated in the appendix of this book.
A Simple Introduction To Numerical Analysis
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Author : R.D Harding
language : en
Publisher: CRC Press
Release Date : 1989-01-01
A Simple Introduction To Numerical Analysis written by R.D Harding and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.
Approximation techniques are widely used in mathematics and applied physics, as exact solutions are frequently impossible to obtain. A Simple Introduction to Numerical Analysis, Volume 2: Interpolation and Approximation extends the first volume to consider problems in interpolation and approximation. Topics covered include the construction of interpolating functions, the determination of polynomial and rational function approximations, numerical quadrature, and the solution of boundary value problems in ordinary differential equations. As with the previous volume, the text is integrated with a software package that allows the reader to work through numerous examples. It is also possible to use the software to consider problems that are beyond the scope of the text. The authors' expertise in combining text and software has resulted in a very readable work.
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.
Approximation Theory And Numerical Methods
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Author : G. A. Watson
language : en
Publisher: John Wiley & Sons
Release Date : 1980
Approximation Theory And Numerical Methods written by G. A. Watson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Numerical Methods For Nonlinear Algebraic Equations
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Author : British Computer Society. Numerical Analysis Specialist Group
language : en
Publisher: Gordon & Breach Publishing Group
Release Date : 1970
Numerical Methods For Nonlinear Algebraic Equations written by British Computer Society. Numerical Analysis Specialist Group and has been published by Gordon & Breach Publishing Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
Nonlinear Numerical And Rational Approximation
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Author : Annie Cuyt
language : en
Publisher:
Release Date : 1988
Nonlinear Numerical And Rational Approximation written by Annie Cuyt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.