Numerical smoothness and error analysis on WENO for the nonlinear conservation laws

DOI10.1002/num.21781zbMath1286.65113OpenAlexW2119917706MaRDI QIDQ2864596

Tong Sun

Publication date: 26 November 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21781

zbMATH Keywords

numerical experimentsweighted essentially nonoscillatory schemesa posteriori error analysisWENO schemesnumerical smoothnessnonlinear conervation laws

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities

Cites Work

• Unnamed Item
• Efficient implementation of weighted ENO schemes
• Numerical smoothness and error analysis for RKDG on the scalar nonlinear conservation laws
• Accurate partial difference methods. II: Non-linear problems
• High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations
• Adaptive finite element methods for conservation laws based on a posteriori error estimates

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