Recent progress on univariate and multivariate polynomial and spline quasi-interpolants
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2004
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915560252506112 |
|---|---|
| author | Sablonniere, Paul |
| author_facet | Sablonniere, Paul |
| contents | Polynomial and spline quasi-interpolants (QIs) are practical and effective approximation operators. Among their remarkable properties, let us cite for example: good shape properties, easy computation and evaluation (no linear system to solve), uniform boundedness independently of the degree (polynomials) or of the partition (splines), good approximation order. We shall emphasize new results on various types of univariate and multivariate polynomial or spline QIs, depending on the nature of coefficient functionals, which can be differential, discrete or integral. We shall also present some applications of QIs to numerical methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0405033 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | Recent progress on univariate and multivariate polynomial and spline quasi-interpolants Sablonniere, Paul Numerical Analysis 41A35; 41A36; 41A15 Polynomial and spline quasi-interpolants (QIs) are practical and effective approximation operators. Among their remarkable properties, let us cite for example: good shape properties, easy computation and evaluation (no linear system to solve), uniform boundedness independently of the degree (polynomials) or of the partition (splines), good approximation order. We shall emphasize new results on various types of univariate and multivariate polynomial or spline QIs, depending on the nature of coefficient functionals, which can be differential, discrete or integral. We shall also present some applications of QIs to numerical methods. |
| title | Recent progress on univariate and multivariate polynomial and spline quasi-interpolants |
| topic | Numerical Analysis 41A35; 41A36; 41A15 |
| url | https://arxiv.org/abs/math/0405033 |