Exact nonlinear spectral analysis of nonsmooth WENO-JS solutions

DOI10.1155/2023/4941679zbMath1517.65071OpenAlexW4382310227MaRDI QIDQ6097688

Tamer H. M. A. Kasem

Publication date: 7 June 2023

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

Full work available at URL: https://doi.org/10.1155/2023/4941679

Mathematics Subject Classification ID

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

Cites Work

• On the linear stability of the fifth-order WENO discretization
• On the spectral and conservation properties of nonlinear discretization operators
• On the spectral properties of shock-capturing schemes
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• Efficient implementation of weighted ENO schemes
• Spectral analysis of nonlinear finite difference discretizations
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• A general framework for the evaluation of shock-capturing schemes
• A spectral study on the dissipation and dispersion of the WENO schemes
• Linear Instability of the Fifth-Order WENO Method
• Numerical Solution of Partial Differential Equations
• Error Analysis of Nonlinear WENO Schemes Using Modified Equation
• Essentially non-oscillatory and weighted essentially non-oscillatory schemes
• Numerical Methods for Ordinary Differential Equations
• Spectral methods for hyperbolic problems
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