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On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function. / Zyuzina, N. A.; Kovyrkina, O. A.; Ostapenko, V. V.

в: Mathematical Models and Computer Simulations, Том 11, № 1, 01.01.2019, стр. 46-60.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Zyuzina, NA, Kovyrkina, OA & Ostapenko, VV 2019, 'On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function', Mathematical Models and Computer Simulations, Том. 11, № 1, стр. 46-60. https://doi.org/10.1134/S2070048219010186

APA

Zyuzina, N. A., Kovyrkina, O. A., & Ostapenko, V. V. (2019). On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function. Mathematical Models and Computer Simulations, 11(1), 46-60. https://doi.org/10.1134/S2070048219010186

Vancouver

Zyuzina NA, Kovyrkina OA, Ostapenko VV. On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function. Mathematical Models and Computer Simulations. 2019 янв. 1;11(1):46-60. doi: 10.1134/S2070048219010186

Author

Zyuzina, N. A. ; Kovyrkina, O. A. ; Ostapenko, V. V. / On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function. в: Mathematical Models and Computer Simulations. 2019 ; Том 11, № 1. стр. 46-60.

BibTeX

@article{764147835eb64f609ca90fb6be51e451,
title = "On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function",
abstract = "Abstract: The monotonicity of the CABARET scheme approximating the quasi-linear scalar conservation law with a convex flux is analyzed. The monotonicity conditions for this scheme are obtained in the areas where the propagation velocity of the characteristics has a constant sign, as well as in the areas of sonic lines, sonic bands, and shock waves, where the propagation velocity of the characteristics of the approximated divergent equation changes sign. The test computations are presented that illustrate these properties of the CABARET scheme.",
keywords = "CABARET scheme, monotonicity, scalar conservation law with a convex flux, sonic lines",
author = "Zyuzina, {N. A.} and Kovyrkina, {O. A.} and Ostapenko, {V. V.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1134/S2070048219010186",
language = "English",
volume = "11",
pages = "46--60",
journal = "Mathematical Models and Computer Simulations",
issn = "2070-0482",
publisher = "Springer Science + Business Media",
number = "1",

}

RIS

TY - JOUR

T1 - On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function

AU - Zyuzina, N. A.

AU - Kovyrkina, O. A.

AU - Ostapenko, V. V.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Abstract: The monotonicity of the CABARET scheme approximating the quasi-linear scalar conservation law with a convex flux is analyzed. The monotonicity conditions for this scheme are obtained in the areas where the propagation velocity of the characteristics has a constant sign, as well as in the areas of sonic lines, sonic bands, and shock waves, where the propagation velocity of the characteristics of the approximated divergent equation changes sign. The test computations are presented that illustrate these properties of the CABARET scheme.

AB - Abstract: The monotonicity of the CABARET scheme approximating the quasi-linear scalar conservation law with a convex flux is analyzed. The monotonicity conditions for this scheme are obtained in the areas where the propagation velocity of the characteristics has a constant sign, as well as in the areas of sonic lines, sonic bands, and shock waves, where the propagation velocity of the characteristics of the approximated divergent equation changes sign. The test computations are presented that illustrate these properties of the CABARET scheme.

KW - CABARET scheme

KW - monotonicity

KW - scalar conservation law with a convex flux

KW - sonic lines

UR - http://www.scopus.com/inward/record.url?scp=85065417619&partnerID=8YFLogxK

U2 - 10.1134/S2070048219010186

DO - 10.1134/S2070048219010186

M3 - Article

AN - SCOPUS:85065417619

VL - 11

SP - 46

EP - 60

JO - Mathematical Models and Computer Simulations

JF - Mathematical Models and Computer Simulations

SN - 2070-0482

IS - 1

ER -

ID: 20051001