Analysis of a class of non linear subdivision schemes and associated multi-resolution transforms
Numerical Analysis
2008-10-08 v1
Abstract
This paper is devoted to the convergence and stability analysis of a class of nonlinear subdivision schemes and associated multi-resolution transforms. These schemes are defined as a perturbation of a linear subdivision scheme. Assuming a contractivity property, stability and convergence are derived. These results are then applied to various schemes such as uncentered interpolatory linear scheme, WENO scheme [13], Power-P scheme [16] and a non linear scheme using local spherical coordinates [18].
Keywords
Cite
@article{arxiv.0810.1146,
title = {Analysis of a class of non linear subdivision schemes and associated multi-resolution transforms},
author = {S. Amat and K. Dadourian and J. Liandrat},
journal= {arXiv preprint arXiv:0810.1146},
year = {2008}
}
Comments
25 pages, 4 figures