A Software Repository For Orthogonal Polynomials

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A Software Repository For Orthogonal Polynomials

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Author : Walter Gautschi
language : en
Publisher: SIAM
Release Date : 2018

A Software Repository For Orthogonal Polynomials written by Walter Gautschi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Science categories.

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.

A Software Repository For Gaussian Quadratures And Christoffel Functions

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Author : Walter Gautschi
language : en
Publisher: SIAM
Release Date : 2020-10-30

A Software Repository For Gaussian Quadratures And Christoffel Functions written by Walter Gautschi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-30 with Mathematics categories.

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.

Numerical Methods For Scientific Computing

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Author : Kyle Novak
language : en
Publisher: Equal Share Press
Release Date : 2022-03-13

Numerical Methods For Scientific Computing written by Kyle Novak and has been published by Equal Share Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-13 with Mathematics categories.

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.

Scientific Computing

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Author : Michael T. Heath
language : en
Publisher: SIAM
Release Date : 2018-11-14

Scientific Computing written by Michael T. Heath and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-14 with Science categories.

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.

Orthogonal Polynomials For Engineers And Physicists

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Author : Petr Beckmann
language : en
Publisher:
Release Date : 1973

Orthogonal Polynomials For Engineers And Physicists written by Petr Beckmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.

Orthogonal Polynomials

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Author : Paul Nevai
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Orthogonal Polynomials written by Paul Nevai 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.

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.

Orthogonal Polynomials And Their Applications

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Author : Manuel Alfaro
language : en
Publisher:
Release Date : 2014-01-15

Orthogonal Polynomials And Their Applications written by Manuel Alfaro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

A Package On Orthogonal Polynomials And Special Functions

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Author : Wolfram Koepf
language : en
Publisher:
Release Date : 1996

A Package On Orthogonal Polynomials And Special Functions written by Wolfram Koepf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Orthogonal polynomials categories.

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."

Discrete Orthogonal Polynomials

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Author : Jinho Baik
language : en
Publisher:
Release Date : 2007

Discrete Orthogonal Polynomials written by Jinho Baik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

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Orthogonal Polynomials

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Author : Gábor Szegő
language : en
Publisher:
Release Date : 1939

Orthogonal Polynomials written by Gábor Szegő and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1939 with Functions, Orthogonal categories.