On monotonicity of CABARET scheme approximating the multidimensional scalar conservation law

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20200406 ◽

2020 ◽

Keyword(s):

Conservation Law ◽

Cabaret Scheme ◽

Scalar Conservation Law ◽

Scalar Conservation

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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

Mathematical Models and Computer Simulations ◽

10.1134/s2070048219010186 ◽

2019 ◽

Vol 11 (1) ◽

pp. 46-60

Author(s):

N. A. Zyuzina ◽

O. A. Kovyrkina ◽

V. V. Ostapenko

Keyword(s):

Conservation Law ◽

Cabaret Scheme ◽

Flux Function ◽

Scalar Conservation Law ◽

Scalar Conservation ◽

Characteristic Field

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Decay of Unstable Strong Discontinuities in the Case of a Convex-Flux Scalar Conservation Law Approximated by the CABARET Scheme

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518060155 ◽

2018 ◽

Vol 58 (6) ◽

pp. 950-966

Author(s):

N. A. Zyuzina ◽

V. V. Ostapenko

Keyword(s):

Conservation Law ◽

Cabaret Scheme ◽

Strong Discontinuities ◽

Scalar Conservation Law ◽

Scalar Conservation

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Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux

Doklady Physics ◽

10.1134/s1028335817100056 ◽

2017 ◽

Vol 62 (10) ◽

pp. 470-474 ◽

Author(s):

V. V. Ostapenko ◽

A. A. Cherevko

Keyword(s):

Conservation Law ◽

Discontinuous Solutions ◽

Cabaret Scheme ◽

Scalar Conservation Law ◽

Scalar Conservation

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Splitting method for CABARET scheme approximating the non-uniform scalar conservation law

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20180205 ◽

2018 ◽

Keyword(s):

Conservation Law ◽

Splitting Method ◽

Cabaret Scheme ◽

Scalar Conservation Law ◽

Scalar Conservation

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On the monotonicity of the CABARET scheme approximating a scalar conservation law with a convex flux

Doklady Mathematics ◽

10.1134/s1064562416010282 ◽

2016 ◽

Vol 93 (1) ◽

pp. 69-73 ◽

Author(s):

N. A. Zyuzina ◽

V. V. Ostapenko

Keyword(s):

Conservation Law ◽

Cabaret Scheme ◽

Scalar Conservation Law ◽

Scalar Conservation

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On Monotonicity of a CABARET Scheme Approximating a Multidimensional Scalar Conservation Law

Numerical Analysis and Applications ◽

10.1134/s1995423920040060 ◽

2020 ◽

Vol 13 (4) ◽

pp. 360-367

Author(s):

V. V. Ostapenko ◽

T. V. Protopopova

Keyword(s):

Conservation Law ◽

Cabaret Scheme ◽

Scalar Conservation Law ◽

Scalar Conservation

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Monotone approximation of a scalar conservation law based on the CABARET scheme in the case of a sign-changing characteristic field

Doklady Mathematics ◽

10.1134/s1064562416050185 ◽

2016 ◽

Vol 94 (2) ◽

pp. 538-542 ◽

Author(s):

N. A. Zyuzina ◽

V. V. Ostapenko

Keyword(s):

Conservation Law ◽

Monotone Approximation ◽

Cabaret Scheme ◽

Scalar Conservation Law ◽

Scalar Conservation ◽

Characteristic Field

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

Numerical Analysis and Applications ◽

10.1134/s1995423918020052 ◽

2018 ◽

Vol 11 (2) ◽

pp. 146-157

Author(s):

N. A. Zyuzina ◽

V. V. Ostapenko ◽

E. I. Polunina

Keyword(s):

Conservation Law ◽

Splitting Method ◽

Cabaret Scheme ◽

Scalar Conservation Law ◽

Scalar Conservation

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Time-periodic solutions for a scalar conservation law

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00433-2 ◽

2001 ◽

Vol 45 (8) ◽

pp. 1039-1060 ◽

Author(s):

Shigeharu Takeno

Keyword(s):

Periodic Solutions ◽

Conservation Law ◽

Scalar Conservation Law ◽

Time Periodic Solutions ◽

Scalar Conservation ◽

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Error estimate for the upwind finite volume method for the nonlinear scalar conservation law

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.05.050 ◽

2011 ◽

Vol 235 (18) ◽

pp. 5394-5410 ◽

Author(s):

Daniel Bouche ◽

Jean-Michel Ghidaglia ◽

Frédéric P. Pascal

Keyword(s):

Error Estimate ◽

Finite Volume Method ◽

Finite Volume ◽

Conservation Law ◽

Scalar Conservation Law ◽

Scalar Conservation ◽

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