Improved weighted ENO scheme based on parameters involved in nonlinear weights
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Publication:2333168
DOI10.1016/j.amc.2018.03.034zbMath1427.65180OpenAlexW2789751290WikidataQ130105746 ScholiaQ130105746MaRDI QIDQ2333168
Publication date: 12 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.03.034
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) Approximation by polynomials (41A10)
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Cites Work
- Modified non-linear weights for fifth-order weighted essentially non-oscillatory schemes
- Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
- Weights design for maximal order WENO schemes
- Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Some results on uniformly high-order accurate essentially nonoscillatory schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Weighted essentially non-oscillatory schemes
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- An improved non-linear weights for seventh-order weighted essentially non-oscillatory scheme
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Efficient implementation of weighted ENO schemes
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Analysis of WENO Schemes for Full and Global Accuracy
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics