论文标题
细胞平均WENO具有渐进的准确性顺序接近不连续性，并具有信号处理的应用
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
论文作者
论文摘要
在本文中，我们转化为单元平均设置的设定算法，用于S. Amat，J。Ruiz，C.-W。中介绍的点值离散化。 Shu，D。F.Yáñez，一种新的WENO-2R算法，具有渐进的准确性顺序接近不连续性，已提交给Siam J. Numer。肛门..这种新策略试图改善WENO的结果 - （$ 2R-1 $）算法接近奇异性，从而在这些区域中获得了最佳的准确性顺序。主要思想是修改最佳权重，以便它们具有取决于不连续性位置的非线性表达式。在本文中，我们研究了新算法在使用Harten的多解析的信号处理中的应用。为了确认获得的理论结果，进行了几个数值实验。
In this paper we translate to the cell-average setting the algorithm for the point-value discretization presented in S. Amat, J. Ruiz, C.-W. Shu, D. F. Yáñez, A new WENO-2r algorithm with progressive order of accuracy close to discontinuities, submitted to SIAM J. Numer. Anal.. 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.
