Convergence of Lax–Friedrichs and Godunov schemes for a nonstrictly hyperbolic system of conservation laws arising in oil recovery

George Noel Djoufedie; Elisabetta Felaco; Bruno Rubino; Rosella Sampalmieri

doi:10.1007/s00161-015-0432-7

Convergence of Lax–Friedrichs and Godunov schemes for a nonstrictly hyperbolic system of conservation laws arising in oil recovery

Continuum Mechanics and Thermodynamics ◽

10.1007/s00161-015-0432-7 ◽

2015 ◽

Vol 28 (1-2) ◽

pp. 331-349

Author(s):

George Noel Djoufedie ◽

Elisabetta Felaco ◽

Bruno Rubino ◽

Rosella Sampalmieri

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

Oil Recovery ◽

System Of Conservation Laws

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Numerical analysis of two operator splitting methods for an hyperbolic system of conservation laws with stiff relaxation

International Journal of Multiphase Flow ◽

10.1016/s0301-9322(97)88233-x ◽

1996 ◽

Vol 22 ◽

pp. 106

Author(s):

E Burman

Keyword(s):

Numerical Analysis ◽

Conservation Laws ◽

Hyperbolic System ◽

Operator Splitting ◽

Splitting Methods ◽

Operator Splitting Methods ◽

System Of Conservation Laws ◽

Stiff Relaxation

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Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518090129 ◽

2018 ◽

Vol 58 (9) ◽

pp. 1435-1450 ◽

Cited By ~ 1

Author(s):

O. A. Kovyrkina ◽

V. V. Ostapenko

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

Cabaret Scheme ◽

System Of Conservation Laws

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The Relaxation Approximation to Hyperbolic System of Conservation Laws

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8720-5_52 ◽

1999 ◽

pp. 485-491

Author(s):

Hsiao Ling ◽

Pan Ronghua

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

System Of Conservation Laws

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Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0912076 ◽

1991 ◽

Vol 12 (6) ◽

pp. 1401-1419 ◽

Cited By ~ 30

Author(s):

Nils Henrik Risebro ◽

Aslak Tveito

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

Front Tracking ◽

System Of Conservation Laws

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Analysis of a singular hyperbolic system of conservation laws

Journal of Differential Equations ◽

10.1016/0022-0396(86)90037-9 ◽

1986 ◽

Vol 65 (2) ◽

pp. 250-268 ◽

Cited By ~ 43

Author(s):

Eli L Isaacson ◽

J.Blake Temple

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

System Of Conservation Laws

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On a Quasilinear Degenerate Hyperbolic System of Conservation Laws Describing Nonlinear Advection Phenomena

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181072910 ◽

1991 ◽

Vol 21 (4) ◽

pp. 1327-1369

Author(s):

Ling Hsiao ◽

Piero De Mottoni

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

System Of Conservation Laws ◽

Nonlinear Advection

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Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.05.025 ◽

2012 ◽

Vol 395 (1) ◽

pp. 86-102 ◽

Cited By ~ 1

Author(s):

Meina Sun

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

System Of Conservation Laws ◽

Two Space Dimensions

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Ray equations of a weak shock in a hyperbolic system of conservation laws in multi-dimensions

Proceedings - Mathematical Sciences ◽

10.1007/s12044-016-0275-6 ◽

2016 ◽

Vol 126 (2) ◽

pp. 199-206

Author(s):

PHOOLAN PRASAD

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

Weak Shock ◽

System Of Conservation Laws

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Wave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws

Quarterly of Applied Mathematics ◽

10.1090/qam/1466 ◽

2017 ◽

Vol 75 (3) ◽

pp. 539-554 ◽

Cited By ~ 8

Author(s):

Anupam Sen ◽

T. Raja Sekhar ◽

V. D. Sharma

Keyword(s):

Conservation Laws ◽

Hyperbolic System ◽

Wave Interactions ◽

Riemann Solution ◽

System Of Conservation Laws

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Numerical solution of a hyperbolic system of conservation laws with source term arising in a fluidized bed model

Journal of Computational Physics ◽

10.1016/0021-9991(90)90140-v ◽

1990 ◽

Vol 89 (1) ◽

pp. 255 ◽

Cited By ~ 1

Author(s):

I Christie ◽

G.H Ganser ◽

J.M Sanz-Serna

Keyword(s):

Conservation Laws ◽

Numerical Solution ◽

Fluidized Bed ◽

Hyperbolic System ◽

Source Term ◽

System Of Conservation Laws

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