@inproceedings{e89e11d38cd043f99a51897e57c101d2,
title = "Explicit combined finite-difference scheme of high accuracy",
abstract = "We constructed an explicit combined finite-difference scheme, which with the high accuracy capture the shocks and simultaneously preserves an increased convergence order in all domains of smoothness of the calculated weak solutions. In this combined scheme, the nonmonotonic third-order Rusanov scheme is used as the basic scheme, and as the inner one is a mono- tone second order CABARET scheme. We presented the test calculations that demonstrate the advantages of the new scheme in comparison with the WENO-scheme of the fifth order in space and the third order in time.",
author = "Olyana Kovyrkina and Vladimir Ostapenko",
year = "2019",
month = jul,
day = "24",
doi = "10.1063/1.5114483",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "T.E. Simos and Ch. Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018",
note = "International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 ; Conference date: 13-09-2018 Through 18-09-2018",
}