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On construction of combined shock-capturing finite-difference schemes of high accuracy. / Ostapenko, Vladimir; Kovyrkina, Olyana.

Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. ed. / Dimov; Farago; L Vulkov. Vol. 10187 LNCS Springer-Verlag GmbH and Co. KG, 2017. p. 525-532 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10187 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Ostapenko, V & Kovyrkina, O 2017, On construction of combined shock-capturing finite-difference schemes of high accuracy. in Dimov, Farago & L Vulkov (eds), Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. vol. 10187 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10187 LNCS, Springer-Verlag GmbH and Co. KG, pp. 525-532, 6th International Conference on Numerical Analysis and Its Applications, NAA 2016, Lozenetz, Bulgaria, 14.06.2016. https://doi.org/10.1007/978-3-319-57099-0_59

APA

Ostapenko, V., & Kovyrkina, O. (2017). On construction of combined shock-capturing finite-difference schemes of high accuracy. In Dimov, Farago, & L. Vulkov (Eds.), Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers (Vol. 10187 LNCS, pp. 525-532). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10187 LNCS). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-319-57099-0_59

Vancouver

Ostapenko V, Kovyrkina O. On construction of combined shock-capturing finite-difference schemes of high accuracy. In Dimov, Farago, Vulkov L, editors, Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. Vol. 10187 LNCS. Springer-Verlag GmbH and Co. KG. 2017. p. 525-532. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-57099-0_59

Author

Ostapenko, Vladimir ; Kovyrkina, Olyana. / On construction of combined shock-capturing finite-difference schemes of high accuracy. Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. editor / Dimov ; Farago ; L Vulkov. Vol. 10187 LNCS Springer-Verlag GmbH and Co. KG, 2017. pp. 525-532 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{8ca98c0172554cb1a3e27e777de76f89,
title = "On construction of combined shock-capturing finite-difference schemes of high accuracy",
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.",
keywords = "Discontinuous solutions, Integral order of convergence, Monotonicity and high accuracy of finite-difference schemes, Shock-capturing difference schemes, CONVERGENCE, HYPERBOLIC CONSERVATION-LAWS",
author = "Vladimir Ostapenko and Olyana Kovyrkina",
year = "2017",
doi = "10.1007/978-3-319-57099-0_59",
language = "English",
isbn = "9783319570983",
volume = "10187 LNCS",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "525--532",
editor = "Dimov and Farago and L Vulkov",
booktitle = "Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers",
address = "Germany",
note = "6th International Conference on Numerical Analysis and Its Applications, NAA 2016 ; Conference date: 14-06-2016 Through 21-06-2016",

}

RIS

TY - GEN

T1 - On construction of combined shock-capturing finite-difference schemes of high accuracy

AU - Ostapenko, Vladimir

AU - Kovyrkina, Olyana

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Discontinuous solutions

KW - Integral order of convergence

KW - Monotonicity and high accuracy of finite-difference schemes

KW - Shock-capturing difference schemes

KW - CONVERGENCE

KW - HYPERBOLIC CONSERVATION-LAWS

UR - http://www.scopus.com/inward/record.url?scp=85018425904&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-57099-0_59

DO - 10.1007/978-3-319-57099-0_59

M3 - Conference contribution

AN - SCOPUS:85018425904

SN - 9783319570983

VL - 10187 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 525

EP - 532

BT - Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers

A2 - Dimov, null

A2 - Farago, null

A2 - Vulkov, L

PB - Springer-Verlag GmbH and Co. KG

T2 - 6th International Conference on Numerical Analysis and Its Applications, NAA 2016

Y2 - 14 June 2016 through 21 June 2016

ER -

ID: 9410961