Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
Ver/
Compartir
Estadísticas
Ver Estadísticas de usoMetadatos
Mostrar el registro completo del ítemÁrea de conocimiento
Matemática AplicadaPatrocinadores
This work was funded by project 20928/PI/18 (Proyecto financiado por la Comunidad Autónoma de la Región de Murcia a través de la convocatoria de Ayudas a proyectos para el desarrollo de investigación científica y técnica por grupos competitivos, incluida en el Programa Regional de Fomento de la Investigación Científica y Técnica (Plan de Actuación 2018) de la Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia) and through the national research project (MINECO/FEDER) PID2019-108336GB-I00. 2 The author has been supported through the NSF grant DMS-2010107 and AFOSR grant FA9550-20-1-0055. 3 The author has been supported through the Spanish MINECO project MTM2017-83942-P.Fecha de publicación
2021Editorial
ElsevierCita bibliográfica
Amat, S., Ruiz-Álvarez, J., Shu, C.-W., & Yáñez, D. F. (2021). Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. Applied Mathematics and Computation, 403(Complete). https://doi.org/10.1016/j.amc.2021.126131Palabras clave
WENOCell-average
New optimal weights
Multiresolution schemes
Improved adaption to discontinuities
Signal processing
Resumen
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.
Colecciones
- Artículos [1737]
El ítem tiene asociados los siguientes ficheros de licencia:
Redes sociales