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A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law. / Zyuzina, N. A.; Ostapenko, V. V.; Polunina, E. I.

In: Numerical Analysis and Applications, Vol. 11, No. 2, 01.04.2018, p. 146-157.

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

Harvard

Zyuzina, NA, Ostapenko, VV & Polunina, EI 2018, 'A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law', Numerical Analysis and Applications, vol. 11, no. 2, pp. 146-157. https://doi.org/10.1134/S1995423918020052

APA

Zyuzina, N. A., Ostapenko, V. V., & Polunina, E. I. (2018). A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law. Numerical Analysis and Applications, 11(2), 146-157. https://doi.org/10.1134/S1995423918020052

Vancouver

Zyuzina NA, Ostapenko VV, Polunina EI. A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law. Numerical Analysis and Applications. 2018 Apr 1;11(2):146-157. doi: 10.1134/S1995423918020052

Author

Zyuzina, N. A. ; Ostapenko, V. V. ; Polunina, E. I. / A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law. In: Numerical Analysis and Applications. 2018 ; Vol. 11, No. 2. pp. 146-157.

BibTeX

@article{3f6a113e40c34f71884da15e8994cc33,
title = "A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law",
abstract = "In this paper, a splitting method for a CABARET scheme approximating a nonuniform scalar conservation law with a convex and monotonically increasing flux function is proposed. It is shown that at the first step of this method, when a uniform conservation law is approximated, the CABARET scheme is monotone and its numerical solutions do not have nonphysical oscillations in shock wavefronts. Test computations illustrating these properties of the modified CABARET scheme are presented.",
keywords = "monotone CABARET scheme, nonuniform scalar conservation law, splitting method",
author = "Zyuzina, {N. A.} and Ostapenko, {V. V.} and Polunina, {E. I.}",
year = "2018",
month = apr,
day = "1",
doi = "10.1134/S1995423918020052",
language = "English",
volume = "11",
pages = "146--157",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law

AU - Zyuzina, N. A.

AU - Ostapenko, V. V.

AU - Polunina, E. I.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - In this paper, a splitting method for a CABARET scheme approximating a nonuniform scalar conservation law with a convex and monotonically increasing flux function is proposed. It is shown that at the first step of this method, when a uniform conservation law is approximated, the CABARET scheme is monotone and its numerical solutions do not have nonphysical oscillations in shock wavefronts. Test computations illustrating these properties of the modified CABARET scheme are presented.

AB - In this paper, a splitting method for a CABARET scheme approximating a nonuniform scalar conservation law with a convex and monotonically increasing flux function is proposed. It is shown that at the first step of this method, when a uniform conservation law is approximated, the CABARET scheme is monotone and its numerical solutions do not have nonphysical oscillations in shock wavefronts. Test computations illustrating these properties of the modified CABARET scheme are presented.

KW - monotone CABARET scheme

KW - nonuniform scalar conservation law

KW - splitting method

UR - http://www.scopus.com/inward/record.url?scp=85048140822&partnerID=8YFLogxK

U2 - 10.1134/S1995423918020052

DO - 10.1134/S1995423918020052

M3 - Article

AN - SCOPUS:85048140822

VL - 11

SP - 146

EP - 157

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 2

ER -

ID: 13794266