 |
Université de Provence - Aix-Marseille I Hyper Articles en Ligne |
 |
|
Université de Provence - Aix-Marseille I Hyper Articles en Ligne |
|
| HAL : hal-00346102, version 1 |
| arXiv : 0812.2562 |
| Fiche détaillée |  Récupérer au format |
 |
|
|
| On a C2-nonlinear subdivision scheme avoiding Gibbs oscillations |
|
|
| Sergio Amat 1Karine Dadourian 2 |
|
|
| (05/09/2008) |
|
|
|
| This paper is devoted to the presentation and the analysis of a new nonlinear subdivision scheme eliminating the Gibbs oscillations close to discontinuities. Its convergence, stability and order of approximation are analyzed. It is proved that this schemes converges towards limit functions of Hölder regularity index larger than 1.192. Numerical estimates provide an Hölder regularity index of 2.438. Up to our knowledge, this scheme is the first one that achieves simultaneously the control of the Gibbs phenomenon and regularity index larger than 1 for its limit functions. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Departamento de Tecnologia de la informacion y las Communicationes (TIC) |
|
|
|
Universidad Politécnica de Cartagena |
|
|
| 2 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
|
|
|
CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Analyse numérique |
|
|
| nonlinear subdivision scheme – limit function – regularity – stability – Gibbs phenomenon. |
|
|
|
|
|
| hal-00346102, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00346102 | |
| oai:hal.archives-ouvertes.fr:hal-00346102 | |
| Contributeur : Karine Dadourian | |
| Soumis le : Vendredi 12 Décembre 2008, 18:15:09 | |
| Dernière modification le : Samedi 13 Décembre 2008, 17:10:19 | |
