Get Free Shipping on orders over $79
Orthogonal Polynomials : Computation and Approximation - Walter Gautschi

Orthogonal Polynomials

Computation and Approximation

By: Walter Gautschi

eText | 29 April 2004

At a Glance

eText


$297.76

or 4 interest-free payments of $74.44 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.
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.
on
Desktop
Tablet
Mobile

More in Applied Mathematics

An Introduction to Stochastic Modeling - Gabriel Lord

eBOOK

RRP $145.41

$130.99

10%
OFF
Markov Chains : Theory and Applications - C.R. Rao

eBOOK

RRP $359.04

$323.99

10%
OFF
Grape Explications - Neal D. Hulkower

eBOOK

RRP $18.69

$17.99

Discrete Mathematics - Julian Ting

eBOOK

Pi the Laws of Duality - G. Neal

eBOOK

Mathematics for Engineers - Ritu Shrivastava

eBOOK