@Article{CiCP-8-1242,
author = {Jun Zhu and Jianxian Qiu},
title = {Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems},
journal = {Communications in Computational Physics},
year = {2010},
volume = {8},
number = {5},
pages = {1242--1263},
abstract = {<p style="text-align: justify;">In this paper, we use trigonometric polynomial reconstruction, instead of
algebraic polynomial reconstruction, as building blocks for the weighted essentially
non-oscillatory (WENO) finite difference schemes to solve hyperbolic conservation
laws and highly oscillatory problems. The goal is to obtain robust and high order
accurate solutions in smooth regions, and sharp and non-oscillatory shock transitions.
Numerical results are provided to illustrate the behavior of the proposed schemes.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.250509.211009a},
url = {http://global-sci.org/intro/article_detail/cicp/7615.html}
}