Orthogonal polynomials : computation and approximation /
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford ; New York :
Oxford University Press,
2004.
|
| Series: | Numerical mathematics and scientific computation
|
| Subjects: | |
| Online Access: | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=159383 |
Table of 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.