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On efficiency and accuracy of WENO schemes
2004It is well known that the WENO schemes formally achieve high order of accuracy. On the other hand it was proven that in the presence of discontinuities the numerical methods are subject to a loss of formal accuracy. In this work we analyze the efficiency and accuracy of the numerical schemes on different one-dimensional problems.
Maćešić, Senka, Crnković, Bojan
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A novel high efficiency adaptive mapped WENO scheme
Computers and Mathematics With Applications, 2022Tang Shujiang
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Affine-invariant WENO weights and operator
Applied Numerical Mathematics, 2022Wai Sun Don, Bao-Shan Wang
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An efficient class of WENO schemes with adaptive order for unstructured meshes
Journal of Computational Physics, 2020Vladimir Florinski +2 more
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High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
Journal of Computational Physics, 2011Wai Sun Don
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An improved WENO-Z+ scheme for solving hyperbolic conservation laws
Journal of Computational Physics, 2021exaly
Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws
SIAM Journal on Numerical Analysis, 2018Chieh-Sen Huang, Todd Arbogast
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On the positivity of linear weights in WENO approximations
Acta Mathematicae Applicatae Sinica, 2009Chi-Wang Shu
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