N-dimensional error control multiresolution algorithms for the cell average discretization

J. Ruiz and J.C. Trillo

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 144, issue C, 153-161

Abstract: We present N-dimensional multiresolution algorithms with error control strategies in the cell average setting as a generalization to N dimensions of the work done in this direction. We present results proving the stability and giving explicit error bounds. We also explain how to carry out the programming and we include two numerical experiments to exemplify the utility of these algorithms.

Keywords: Multiresolution schemes; Cell averages; Error control; Nonlinearity (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:144:y:2018:i:c:p:153-161

DOI: 10.1016/j.matcom.2017.07.009

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