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Mathematics > Numerical Analysis

arXiv:0810.1146 (math)
[Submitted on 7 Oct 2008]

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

Authors:S. Amat, K. Dadourian, J. Liandrat
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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].
Comments: 25 pages, 4 figures
Subjects: Numerical Analysis (math.NA)
MSC classes: 41A05; 41A10; 65D05; 65D17
Cite as: arXiv:0810.1146 [math.NA]
  (or arXiv:0810.1146v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.0810.1146

Submission history

From: Sergio Amat [view email]
[v1] Tue, 7 Oct 2008 10:03:32 UTC (22 KB)
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