On a new WENO algorithm of order \(2r\) with improved accuracy close to discontinuities

DOI10.1016/J.AML.2020.106298zbMath1503.65161OpenAlexW3008669407MaRDI QIDQ1985389

Yanyan Li

Publication date: 7 April 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106298

zbMATH Keywords

generalizationimproved adaption to discontinuitieshigh accuracy interpolationWENO-\(2r\)

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

On a new centered strategy to control the accuracy of weighted essentially non oscillatory algorithm for conservation laws close to discontinuities ⋮ Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing ⋮ A New WENO-2$r$ Algorithm with Progressive Order of Accuracy Close to Discontinuities ⋮ Adaptive interpolation with maximum order close to discontinuities

Cites Work

• Point-value WENO multiresolution applications to stable image compression
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Weighted essentially non-oscillatory schemes
• Efficient implementation of weighted ENO schemes
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities

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