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A Software Repository For Orthogonal Polynomials
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Book Synopsis A Software Repository for Orthogonal Polynomials by : Walter Gautschi
Download or read book A Software Repository for Orthogonal Polynomials written by Walter Gautschi and published by SIAM. This book was released on 2018 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Software Repository for Orthogonal Polynomials is the first book that provides graphs and references to online datasets that enable the generation of a large number of orthogonal polynomials with classical, quasi-classical, and nonclassical weight functions. Useful numerical tables are also included. The book will be of interest to scientists, engineers, applied mathematicians, and statisticians.
Book Synopsis A Software Repository for Gaussian Quadratures and Christoffel Functions by : Walter Gautschi
Download or read book A Software Repository for Gaussian Quadratures and Christoffel Functions written by Walter Gautschi and published by SIAM. This book was released on 2020-10-30 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This companion piece to the author’s 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large variety of weight functions and for arbitrary precision. It also documents and illustrates known as well as original approximations for Gauss quadrature weights and Christoffel functions. The repository contains 60+ datasets, each dealing with a particular weight function. Included are classical, quasi-classical, and, most of all, nonclassical weight functions and associated orthogonal polynomials. Scientists, engineers, applied mathematicians, and statisticians will find the book of interest.
Book Synopsis Numerical Methods for Scientific Computing by : Kyle Novak
Download or read book Numerical Methods for Scientific Computing written by Kyle Novak and published by Equal Share Press. This book was released on 2022-03-13 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to the theory, intuition, and application of numerical methods in linear algebra, analysis, and differential equations. With extensive commentary and code for three essential scientific computing languages: Julia, Python, and Matlab.
Book Synopsis Scientific Computing by : Michael T. Heath
Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.
Book Synopsis Orthogonal Polynomials by : Walter Gautschi
Download or read book Orthogonal Polynomials written by Walter Gautschi and published by OUP Oxford. This book was released on 2004-04-29 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on constructive methods for, and applications of orthogonal polynomials, and the first available collection of relevant Matlab codes. The book begins with a concise introduction to the theory of polynomials orthogonal on the real line (or a portion thereof), relative to a positive measure of integration. Topics which are particularly relevant to computation are emphasized. The second chapter develops computational methods for generating the coefficients in the basic three-term recurrence relation. The methods are of two kinds: moment-based methods and discretization methods. The former are provided with a detailed sensitivity analysis. Other topics addressed concern Cauchy integrals of orthogonal polynomials and their computation, a new discussion of modification algorithms, and the generation of Sobolev orthogonal polynomials. The final chapter deals with selected applications: the numerical evaluation of integrals, especially by Gauss-type quadrature methods, polynomial least squares approximation, moment-preserving spline approximation, and the summation of slowly convergent series. Detailed historic and bibliographic notes are appended to each chapter. The book will be of interest not only to mathematicians and numerical analysts, but also to a wide clientele of scientists and engineers who perceive a need for applying orthogonal polynomials.
Book Synopsis Orthogonal Polynomials for Engineers and Physicists by : Petr Beckmann
Download or read book Orthogonal Polynomials for Engineers and Physicists written by Petr Beckmann and published by . This book was released on 1973 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Orthogonal Polynomials by : Paul Nevai
Download or read book Orthogonal Polynomials written by Paul Nevai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth. This progress started with Richard Askey's Regional Confer ence Lectures on "Orthogonal Polynomials and Special Functions" in 1975, and subsequent discoveries led to a substantial revaluation of one's perceptions as to the nature of orthogonal polynomials and their applicability. The recent popularity of orthogonal polynomials is only partially due to Louis de Branges's solution of the Bieberbach conjecture which uses an inequality of Askey and Gasper on Jacobi polynomials. The main reason lies in their wide applicability in areas such as Pade approximations, continued fractions, Tauberian theorems, numerical analysis, probability theory, mathematical statistics, scattering theory, nuclear physics, solid state physics, digital signal processing, electrical engineering, theoretical chemistry and so forth. This was emphasized and convincingly demonstrated during the presentations by both the principal speakers and the invited special lecturers. The main subjects of our Advanced Study Institute included complex orthogonal polynomials, signal processing, the recursion method, combinatorial interpretations of orthogonal polynomials, computational problems, potential theory, Pade approximations, Julia sets, special functions, quantum groups, weighted approximations, orthogonal polynomials associated with root systems, matrix orthogonal polynomials, operator theory and group representations.
Book Synopsis Orthogonal Polynomials and Their Applications by : Jaime Vinuesa
Download or read book Orthogonal Polynomials and Their Applications written by Jaime Vinuesa and published by CRC Press. This book was released on 1989-05-25 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantitative Psychology Research by : L. Andries van der Ark
Download or read book Quantitative Psychology Research written by L. Andries van der Ark and published by Springer. This book was released on 2015-08-08 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: These research articles from the 79th Annual Meeting of the Psychometric Society (IMPS) cover timely quantitative psychology topics, including new methods in item response theory, computerized adaptive testing, cognitive diagnostic modeling, and psychological scaling. Topics within general quantitative methodology include structural equation modeling, factor analysis, causal modeling, mediation, missing data methods, and longitudinal data analysis. These methods will appeal, in particular, to researchers in the social sciences. The 79th annual meeting took place in Madison, WI between July 21nd and 25th, 2014. Previous volumes to showcase work from the Psychometric Society’s Meeting are New Developments in Quantitative Psychology: Presentations from the 77th Annual Psychometric Society Meeting (Springer, 2013) and Quantitative Psychology Research: The 78th Annual Meeting of the Psychometric Society (Springer, 2015).
Book Synopsis Orthogonal Polynomials and Their Applications by : Manuel Alfaro
Download or read book Orthogonal Polynomials and Their Applications written by Manuel Alfaro and published by . This book was released on 2014-01-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frontiers In Orthogonal Polynomials And Q-series by : M Zuhair Nashed
Download or read book Frontiers In Orthogonal Polynomials And Q-series written by M Zuhair Nashed and published by World Scientific. This book was released on 2018-01-12 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.
Book Synopsis Discrete Orthogonal Polynomials by : Jinho Baik
Download or read book Discrete Orthogonal Polynomials written by Jinho Baik and published by . This book was released on 2007 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Book Synopsis A Package on Orthogonal Polynomials and Special Functions by : Wolfram Koepf
Download or read book A Package on Orthogonal Polynomials and Special Functions written by Wolfram Koepf and published by . This book was released on 1996 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "In many applications (hypergeometric-type) special functions like orthogonal polynomials are needed. For example in more than 50% of the published solutions for the (application-oriented) questions in the 'Problems Section' of SIAM Review special functions occur. In this article the Mathematica package SpecialFunctions which can be obtained from the URL http://www.zib.de/koepf is introduced [15]. Algorithms to convert between power series representations and their generating functions is the main topic of this package ([8]-[15]), extending the previous package PowerSeries [12]. Moreover the package automatically finds differential and recurrence equations ([13]-[14]) for expressions and for sums (the latter using Zeilberger's algorithm ([23], [18], [13]). As an application the fast computation of polynomial approximations of solutions of linear differential equations with polynomial coefficients is presented. This is the asymptotically fastest known algorithm for series computations, and it is much faster than Mathematica's builtin [sic] Series command if applicable. Many more applications are considered. Finally the package includes implementations supporting the efficient computation of classical continuous and discrete orthogonal polynomials."
Book Synopsis Orthogonal polynomials by : Gábor Szegö
Download or read book Orthogonal polynomials written by Gábor Szegö and published by . This book was released on 1948 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Orthogonal Polynomials by : Gábor Szegö
Download or read book Orthogonal Polynomials written by Gábor Szegö and published by . This book was released on 1978 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Orthogonal Polynomials by : Gábor Szegő
Download or read book Orthogonal Polynomials written by Gábor Szegő and published by . This book was released on 1939 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Application of Orthogonal Polynomials to Statistical Analysis by : Theodore R. Marra
Download or read book The Application of Orthogonal Polynomials to Statistical Analysis written by Theodore R. Marra and published by . This book was released on 1970 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
