A New WENO-2$r$ Algorithm with Progressive Order of Accuracy Close to Discontinuities

DOI10.1137/20M1337090zbMath1457.65038arXiv2005.06747OpenAlexW3113888068MaRDI QIDQ3386992

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Publication date: 12 January 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06747

zbMATH Keywords

improved adaption to discontinuitieshigh accuracy interpolationWENO algorithm

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (3)

On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities ⋮ Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing ⋮ Adaptive interpolation with maximum order close to discontinuities

Cites Work

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• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities

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