@Article{JMS-50-3,
author = {Huang, Buyue and Qiu, Jianxian},
title = {Hybrid WENO Schemes with Lax-Wendroff Type Time Discretization},
journal = {Journal of Mathematical Study},
year = {2017},
volume = {50},
number = {3},
pages = {242--267},
abstract = {<p style="text-align: justify;">In this paper, we investigate the performance of a class of the hybrid weighted
essentially non-oscillatory (WENO) schemes with Lax-Wendroff time discretization
procedure using different indicators for hyperbolic conservation laws. The main idea
of the scheme is to use some efficient and reliable indicators to identify discontinuity
of solution, then reconstruct numerical flux by WENO approximation in discontinuous
regions and up-wind linear approximation in smooth regions, hence reducing
computational cost but still maintaining non-oscillatory properties for problems with
strong shocks. Numerical results show that the efficiency and robustness of the hybrid
WENO-LW schemes.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v50n3.17.03},
url = {https://global-sci.com/article/87773/hybrid-weno-schemes-with-lax-wendroff-type-time-discretization}
}