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Orthogonal polynomials : computation and approximation /
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...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Oxford ; New York :
Oxford University Press,
2004.
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| Collection: | Numerical mathematics and scientific computation.
Oxford science publications. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 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.