Explicit combined finite-difference scheme of high accuracy

Olyana Kovyrkina, Vladimir Ostapenko

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
EditorsT.E. Simos, Ch. Tsitouras
PublisherAmerican Institute of Physics Inc.
Number of pages4
ISBN (Electronic)9780735418547
DOIs
Publication statusPublished - 24 Jul 2019
EventInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 - Rhodes, Greece
Duration: 13 Sep 201818 Sep 2018

Publication series

NameAIP Conference Proceedings
Volume2116
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018
CountryGreece
CityRhodes
Period13.09.201818.09.2018

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