High order combined finite-difference schemes

Olyana Kovyrkina, Vladimir Ostapenko

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

Abstract

A method is proposed for constructing combined shock-capturing finite-difference schemes, which with high accuracy capture the shocks and simultaneously maintain an increased convergence order in all domains of smoothness of the calculated weak solutions. A concrete combined scheme is considered, in which the nonmonotonic compact third-order scheme of weak approximation is used as the basic scheme, and as the inner one is a monotone CABARET scheme of the second order of accuracy for smooth solutions. We presented the test calculations that demonstrate the advantages of the new scheme.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
PublisherAmerican Institute of Physics Inc.
Number of pages4
Volume1978
ISBN (Electronic)9780735416901
DOIs
Publication statusPublished - 10 Jul 2018
EventInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 - Thessaloniki, Greece
Duration: 25 Sep 201730 Sep 2017

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1978
ISSN (Print)0094-243X

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
Country/TerritoryGreece
CityThessaloniki
Period25.09.201730.09.2017

Keywords

  • HYPERBOLIC CONSERVATION-LAWS

Fingerprint

Dive into the research topics of 'High order combined finite-difference schemes'. Together they form a unique fingerprint.

Cite this