On a class of three points cell-average multiresolution schemes

S. Amat, J. Liandrat, M. Moncayo, J. Ruiz and J.C. Trillo

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 148, issue C, 66-93

Abstract: This paper is devoted to the construction and analysis of a new family of three-points nonlinear cell-average subdivision (multiresolution) schemes. They are based on a centered piecewise nonlinear reconstruction adapted to discontinuities. Some theoretical properties of these schemes (convergence, order of approximation, preservation of the monotonicity in the data, stability or absence of the Gibbs phenomenon) are analyzed. Finally, various numerical examples are presented.

Keywords: Cell-average framework; Adaptive reconstructions; Nonlinear means; Subdivision schemes; Multiresolution schemes (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:148:y:2018:i:c:p:66-93

DOI: 10.1016/j.matcom.2017.11.007

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