Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing

Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu and Dionisio F. Yáñez

Applied Mathematics and Computation, 2021, vol. 403, issue C

Abstract: In this paper we translate to the cell-average setting the algorithm for the point-value discretization presented in Amat el al. (2020). This new strategy tries to improve the results of WENO-(2r−1) algorithm close to the singularities, resulting in an optimal order of accuracy at these zones. The main idea is to modify the optimal weights so that they have a nonlinear expression that depends on the position of the discontinuities. In this paper we study the application of the new algorithm to signal processing using Harten’s multiresolution. Several numerical experiments are performed in order to confirm the theoretical results obtained.

Keywords: WENO; Cell-average; New optimal weights; Multiresolution schemes; Improved adaption to discontinuities; Signal processing (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:403:y:2021:i:c:s009630032100179x

DOI: 10.1016/j.amc.2021.126131

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