On the Construction of Combined Finite-Difference Schemes of High Accuracy

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On the Construction of Combined Finite-Difference Schemes of High Accuracy. / Kovyrkina, O. A.; Ostapenko, V. V.

In: Doklady Mathematics, Vol. 97, No. 1, 01.01.2018, p. 77-81.

Research output: Contribution to journal › Article › peer-review

Harvard

Kovyrkina, OA & Ostapenko, VV 2018, 'On the Construction of Combined Finite-Difference Schemes of High Accuracy', Doklady Mathematics, vol. 97, no. 1, pp. 77-81. https://doi.org/10.1134/S1064562418010246

APA

Kovyrkina, O. A., & Ostapenko, V. V. (2018). On the Construction of Combined Finite-Difference Schemes of High Accuracy. Doklady Mathematics, 97(1), 77-81. https://doi.org/10.1134/S1064562418010246

Vancouver

Kovyrkina OA, Ostapenko VV. On the Construction of Combined Finite-Difference Schemes of High Accuracy. Doklady Mathematics. 2018 Jan 1;97(1):77-81. doi: 10.1134/S1064562418010246

Author

Kovyrkina, O. A. ; Ostapenko, V. V. / On the Construction of Combined Finite-Difference Schemes of High Accuracy. In: Doklady Mathematics. 2018 ; Vol. 97, No. 1. pp. 77-81.

BibTeX

@article{e630d9a62b274886abc69fb23b745a29,

title = "On the Construction of Combined Finite-Difference Schemes of High Accuracy",

abstract = "A method is proposed for constructing combined shock-capturing finite-difference schemes that localize shock fronts with high accuracy and preserve the high order of convergence in all domains where the computed weak solution is smooth. A particular combined scheme is considered in which a nonmonotone compact scheme with a third-order weak approximation is used as a basis one, while the internal scheme is the second-order accurate (for smooth solutions) monotone CABARET. The advantages of the new scheme are demonstrated using test computations.",

author = "Kovyrkina, {O. A.} and Ostapenko, {V. V.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = jan,

day = "1",

doi = "10.1134/S1064562418010246",

language = "English",

volume = "97",

pages = "77--81",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - On the Construction of Combined Finite-Difference Schemes of High Accuracy

AU - Kovyrkina, O. A.

AU - Ostapenko, V. V.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - A method is proposed for constructing combined shock-capturing finite-difference schemes that localize shock fronts with high accuracy and preserve the high order of convergence in all domains where the computed weak solution is smooth. A particular combined scheme is considered in which a nonmonotone compact scheme with a third-order weak approximation is used as a basis one, while the internal scheme is the second-order accurate (for smooth solutions) monotone CABARET. The advantages of the new scheme are demonstrated using test computations.

AB - A method is proposed for constructing combined shock-capturing finite-difference schemes that localize shock fronts with high accuracy and preserve the high order of convergence in all domains where the computed weak solution is smooth. A particular combined scheme is considered in which a nonmonotone compact scheme with a third-order weak approximation is used as a basis one, while the internal scheme is the second-order accurate (for smooth solutions) monotone CABARET. The advantages of the new scheme are demonstrated using test computations.

UR - http://www.scopus.com/inward/record.url?scp=85044305759&partnerID=8YFLogxK

U2 - 10.1134/S1064562418010246

DO - 10.1134/S1064562418010246

M3 - Article

AN - SCOPUS:85044305759

VL - 97

SP - 77

EP - 81

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

ER -

ID: 12175912