Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7543173 | Mathematics and Computers in Simulation | 2018 | 28 Pages |
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.
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Control and Systems Engineering
Authors
S. Amat, J. Liandrat, M. Moncayo, J. Ruiz, J.C. Trillo,