6 edition of **Applications and Computation of Orthogonal Polynomials** found in the catalog.

- 67 Want to read
- 14 Currently reading

Published
**July 1999**
by Birkhauser Boston
.

Written in English

- Polynomials,
- Mathematics,
- Science/Mathematics,
- Calculus,
- Algebra - Elementary,
- Congresses,
- Orthogonal polynomials

**Edition Notes**

Contributions | Workshop on Applications and Computation of Orthogonal Polynomials (Corporate Author), Walter Gautschi (Editor), Gene H. Golub (Editor), Gerhard Opfer (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 268 |

ID Numbers | |

Open Library | OL11388188M |

ISBN 10 | 0817661379 |

ISBN 10 | 9780817661373 |

The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. It was further developed by A. A. Markov, T. J. Stieltjes, and many other mathematicians. The book by Szego, originally published in , is. Gautschi, W.: Orthogonal Polynomials: Computation and Approximation. Numerical Mathematics and Scientific Computation. Oxford Science Publications/Oxford University Press, New York () zbMATH Google Scholar.

Abstract A suite of Matlab programs has been developed as part of the book “Orthogonal Polynomials: Computation and Approximation” Oxford University Press, Oxford, , by Gautschi. The package contains routines for generating orthogonal polynomials as well as routines dealing with applications. Orthogonal Polynomials: Computation and Approximation. By Walter Gautschi. Oxford University Press, New York, $ x+ pp., hardcover. ISBN The occasional user of the computational aspects of orthogonal polynomials is fa miliar with the orthogonal polynomials for the classical weight functions w(x).

from book Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, (pp) Müntz Orthogonal. In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product.. The most widely used orthogonal polynomials are the classical orthogonal polynomials, consisting of the Hermite polynomials, the Laguerre polynomials and the Jacobi polynomials together with their .

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This item: Applications and Computation of Orthogonal Polynomials (International Series of Numerical Mathematics) Set up a giveaway. Get fast, free delivery with Amazon Prime. Prime members enjoy FREE Two-Day Delivery and exclusive access to music, movies, TV. Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, (International Series of Numerical Mathematics) Hardcover – Aug Author: Walter Gautschi.

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 Cited by: Applications and Computation of Orthogonal Polynomials Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, Editors: Gautschi, Walter, Golub, Gene H., Opfer, Gerhard (Eds.).

The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of Cited by: The workshop on Applications and Computation of Orthogonal Polynomials took place Marchat the Oberwolfach Mathematical Research Institute.

It was the first workshop on this topic ever hel. The Segovia meeting set out to stimulate an intensive exchange of ideas between experts in the area of orthogonal polynomials and its applications, to present recent research results and to reinforce the scientific and human relations among the increasingly international community working in.

Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, | Bernhard Beckermann, Edward B. Saff (auth.), Walter Gautschi, Gerhard Opfer, Gene H.

Golub (eds.) | download | B–OK. Download books for free. Find books. ORTHOGONAL POLYNOMIALS: APPLICATIONS AND COMPUTATION including those of Sobolev type, then follow, among them moment-based methods, discretization methods, and modification algorithms.

We conclude by giving a brief account of available software. ORTHOGONAL POLYNOMIALS: APPLICATIONS AND COMPUTATION 49 This means that Wn must be orthogonal to all polynomials of lower degree, hence (see Section below) is the unique (monic) orthogonal polynomial of degree n relative to the measure d-\.

We will denote this polynomial by 7rn() = 7rn(; d-\). The formula () then becomes the n-point Gaussian. Abstract. In this paper we will discuss how to construct and compute a new set of orthogonal polynomials from an existing one.

For a given pair of positive integers (n, r) and a given positive measure dσ(t), we will construct a set of orthogonal polynomials corresponding to the modified measure \(d\hat \sigma \left(t \right) = {\left({{\pi _n}\left(t \right)} \right)^{2r}}d\sigma \left(t Cited by: 1.

This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists.

The applications address problems in applied mathematics as well as problems in engineering and the sciences.5/5(1). Abstract. Orthogonal polynomials are an important example of orthogonal decompositions of Hilbert spaces. They are also of great practical importance: they play a central role in numerical integration using quadrature rules (Chapter 9) and approximation theory; in the context of UQ, they are also a foundational tool in polynomial chaos expansions (Chapter 11).Cited by: 5.

The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of.

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/5(2). An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant Paul Barry, Predrag M.

Rajković, Marko D. Petković Pages Orthogonal polynomials: applications and computation - Volume 5 - Walter Gautschi Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our by: Orthogonal Polynomials: Computation and Approximation For practical PCE-based applications we require orthogonal polynomials relative to given probability densities, and their quadrature rules Author: Walter Gautschi.

Orthogonal Polynomials and Special Functions: Computation and Applications | Walter Gautschi (auth.), Francisco Marcellán, Walter Van Assche (eds.) | download | B–OK. Download books for free. Find books. On a similar spirit is Polynomials by V.V.

Prasolov. I've found the treatment in both these books very nice, with lots of examples/applications and history of the results. Oh, and in case you are interested in orthogonal polynomials, I believe the standard reference is Szegö's book.

Orthogonal polynomials, matrix orthogonal polynomials, multiple orthogonal polynomials Matrix and determinant approach to special polynomial sequences Applications of special polynomial .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 .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.