On construction of combined shock-capturing finite-difference schemes of high accuracy

Vladimir Ostapenko, Olyana Kovyrkina

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

Abstract

We show that compact scheme of the third order of weak approximation (unlike the TVD scheme) allows to obtain the second order of integral convergence in intervals crossing the front line of the shock wave and, as consequence, to conserve the high order of local convergence in the domain of shock influences. It allows to use the compact scheme as a basis scheme in construction of combined shock-capturing finite-difference schemes of high accuracy.

Original languageEnglish
Title of host publicationNumerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers
Editors Dimov, Farago, L Vulkov
PublisherSpringer-Verlag GmbH and Co. KG
Pages525-532
Number of pages8
Volume10187 LNCS
ISBN (Print)9783319570983
DOIs
Publication statusPublished - 2017
Event6th International Conference on Numerical Analysis and Its Applications, NAA 2016 - Lozenetz, Bulgaria
Duration: 14 Jun 201621 Jun 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10187 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference6th International Conference on Numerical Analysis and Its Applications, NAA 2016
CountryBulgaria
CityLozenetz
Period14.06.201621.06.2016

Keywords

  • Discontinuous solutions
  • Integral order of convergence
  • Monotonicity and high accuracy of finite-difference schemes
  • Shock-capturing difference schemes
  • CONVERGENCE
  • HYPERBOLIC CONSERVATION-LAWS

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