High order combined finite-difference schemes

Standard

High order combined finite-difference schemes. / Kovyrkina, Olyana; Ostapenko, Vladimir.

International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. Vol. 1978 American Institute of Physics Inc., 2018. 470027 (AIP Conference Proceedings; Vol. 1978).

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

Harvard

Kovyrkina, O & Ostapenko, V 2018, High order combined finite-difference schemes. in International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. vol. 1978, 470027, AIP Conference Proceedings, vol. 1978, American Institute of Physics Inc., International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017, Thessaloniki, Greece, 25.09.2017. https://doi.org/10.1063/1.5044097

APA

Kovyrkina, O., & Ostapenko, V. (2018). High order combined finite-difference schemes. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 (Vol. 1978). [470027] (AIP Conference Proceedings; Vol. 1978). American Institute of Physics Inc.. https://doi.org/10.1063/1.5044097

Vancouver

Kovyrkina O, Ostapenko V. High order combined finite-difference schemes. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. Vol. 1978. American Institute of Physics Inc. 2018. 470027. (AIP Conference Proceedings). doi: 10.1063/1.5044097

Author

Kovyrkina, Olyana ; Ostapenko, Vladimir. / High order combined finite-difference schemes. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. Vol. 1978 American Institute of Physics Inc., 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{aa95feaaf9f94537a4864ad3e5e95626,

title = "High order combined finite-difference schemes",

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.",

keywords = "HYPERBOLIC CONSERVATION-LAWS",

author = "Olyana Kovyrkina and Vladimir Ostapenko",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s).; International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 ; Conference date: 25-09-2017 Through 30-09-2017",

year = "2018",

month = jul,

day = "10",

doi = "10.1063/1.5044097",

language = "English",

volume = "1978",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017",

}

RIS

TY - GEN

T1 - High order combined finite-difference schemes

AU - Kovyrkina, Olyana

AU - Ostapenko, Vladimir

PY - 2018/7/10

Y1 - 2018/7/10

N2 - 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.

AB - 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.

KW - HYPERBOLIC CONSERVATION-LAWS

UR - http://www.scopus.com/inward/record.url?scp=85049977984&partnerID=8YFLogxK

U2 - 10.1063/1.5044097

DO - 10.1063/1.5044097

M3 - Conference contribution

AN - SCOPUS:85049977984

VL - 1978

T3 - AIP Conference Proceedings

BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017

PB - American Institute of Physics Inc.

T2 - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017

Y2 - 25 September 2017 through 30 September 2017

ER -

ID: 14882241