Analysis of a class of non linear subdivision schemes and associated multi-resolution transforms

Details Analysis of a class of non linear subdivision schemes and associated multi-resolution transforms Analysis of a class of non linear subdivision schemes and associated multi-resolution transforms

2008-10-07

arxiv.org/abs/0810.1146v1

Mathematics

Numerical Analysis

25 pages, 4 figures

Scientific paper

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].

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