| Description |
1 online resource (viii, 301 pages) : illustrations |
| Series |
Numerical mathematics and scientific computation |
|
Oxford science publications |
|
Numerical mathematics and scientific computation.
|
|
Oxford science publications.
|
| Contents |
Basic theory: Orthogonal polynomials -- Properties of orthogonal polynomials -- Three-term recurrence relation -- Quadrature rules -- Classical orthogonal polynomials -- Kernel polynomials -- Sobolev orthogonal polynomials -- Orthogonal polynomials on the semicircle -- Notes to Chapter 1 -- Computational methods: Moment-based methods -- Discretization methods -- Computing Cauchy integrals of orthogonal polynomials -- Modification algorithms -- Computing Sobolev orthogonal polynomials -- Notes to Chapter 2 -- Applications: Quadrature -- Least squares approximation -- Moment-preserving spline approximation -- Slowly convergent series -- Notes to Chapter 3 |
| Summary |
Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable from the Internet, to generate orthogonal polynomials of a great variety |
| Bibliography |
Includes bibliographical references (pages 261-282) and index |
| Notes |
English |
|
Print version record |
| Subject |
Orthogonal polynomials.
|
|
MATHEMATICS -- Calculus.
|
|
MATHEMATICS -- Mathematical Analysis.
|
|
Orthogonal polynomials
|
|
Orthogonale reeksen.
|
| Form |
Electronic book
|
| ISBN |
1423771087 |
|
9781423771081 |
|
9786610758869 |
|
6610758867 |
|
9780198506720 |
|
0198506724 |
|
1280758864 |
|
9781280758867 |
|
0191545058 |
|
9780191545054 |
|
