@inproceedings{fe5cdcbc428941869f55d6a4cbdcae0b,
title = "Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux",
abstract = "It is studied the accuracy of the WENO and CABARET finite-difference schemes when calculating Cauchy problem with piecewise constant initial data for the scalar conservation law with a nonconvex flux. As a specific conservation law, we consider the Buckley-Leverett equation, which is widely used in the numerical simulation of various physical processes. Test calculations have shown that a second-order CABARET-scheme with higher accuracy than the WENO3 and WENO5 schemes localizes the shocks and adjacent rarefaction waves.",
author = "Gologush, {T. S.} and Cherevko, {A. A.} and Ostapenko, {V. V.}",
note = "Funding Information: The work was carried out with support by the Russian Science Foundation (grant No. 16-11-10033). Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 ; Conference date: 23-09-2019 Through 28-09-2019",
year = "2020",
month = nov,
day = "24",
doi = "10.1063/5.0027482",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019",
}