Stability of Godunov's Method for a Class of 2 × 2 Systems of Conservation Laws

Randall J. LeVeque; Blake Temple

doi:10.2307/2000429

Stability of Godunov's Method for a Class of 2 × 2 Systems of Conservation Laws

Transactions of the American Mathematical Society ◽

10.2307/2000429 ◽

1985 ◽

Vol 288 (1) ◽

pp. 115 ◽

Cited By ~ 3

Author(s):

Randall J. LeVeque ◽

Blake Temple

Keyword(s):

Conservation Laws ◽

Godunov’S Method ◽

Systems Of Conservation Laws ◽

Godunov′S Method

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A Comparison of Convergence Rates for Godunov’s Method and Glimm’s Method in Resonant Nonlinear Systems of Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/0732038 ◽

1995 ◽

Vol 32 (3) ◽

pp. 824-840 ◽

Cited By ~ 24

Author(s):

L. Lin ◽

J. B. Temple ◽

J. Wang

Keyword(s):

Nonlinear Systems ◽

Conservation Laws ◽

Convergence Rates ◽

Godunov’S Method ◽

Systems Of Conservation Laws ◽

Godunov′S Method

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Stability of Godunov’s method for a class of $2\times 2$ systems of conservation laws

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1985-0773050-x ◽

1985 ◽

Vol 288 (1) ◽

pp. 115-115

Author(s):

Randall J. LeVeque ◽

Blake Temple

Keyword(s):

Conservation Laws ◽

Godunov’S Method ◽

Systems Of Conservation Laws ◽

Godunov′S Method

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A large Time Step Generalization of Godunov’s Method for Systems of Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/0722063 ◽

1985 ◽

Vol 22 (6) ◽

pp. 1051-1073 ◽

Cited By ~ 75

Author(s):

Randall J. LeVeque

Keyword(s):

Conservation Laws ◽

Large Time ◽

Time Step ◽

Godunov’S Method ◽

Systems Of Conservation Laws ◽

Large Time Step ◽

Godunov′S Method

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Godunov’s method for initial-boundary value problem of scalar conservation laws

Journal of Shanghai University (English Edition) ◽

10.1007/s11741-008-0404-4 ◽

2008 ◽

Vol 12 (4) ◽

pp. 298-301

Author(s):

Gui-cheng Lin ◽

Wan-cheng Sheng

Keyword(s):

Boundary Value Problem ◽

Conservation Laws ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Scalar Conservation Laws ◽

Godunov’S Method ◽

Godunov′S Method ◽

Scalar Conservation ◽

Initial Boundary Value

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Convergence of a large time step generalization of Godunov's method for conservation laws

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160370405 ◽

1984 ◽

Vol 37 (4) ◽

pp. 463-477 ◽

Cited By ~ 27

Author(s):

Randall J. Leveque

Keyword(s):

Conservation Laws ◽

Large Time ◽

Time Step ◽

Godunov’S Method ◽

Large Time Step ◽

Godunov′S Method

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Systems of Conservation Laws 1

10.1017/cbo9780511612374 ◽

1999 ◽

Cited By ~ 214

Author(s):

Denis Serre

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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Hermite WENO limiting for multi-moment finite-volume methods using the ADER-DT time discretization for 1-D systems of conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2014.11.017 ◽

2015 ◽

Vol 282 ◽

pp. 381-396 ◽

Cited By ~ 2

Author(s):

Matthew R. Norman

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Time Discretization ◽

Finite Volume Methods ◽

Systems Of Conservation Laws

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On the uniqueness of solutions to hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.034 ◽

2021 ◽

Vol 291 ◽

pp. 110-153

Author(s):

Shyam Sundar Ghoshal ◽

Animesh Jana ◽

Konstantinos Koumatos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Uniqueness Of Solutions ◽

Systems Of Conservation Laws

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New developments of delta shock waves and its applications in systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.015 ◽

2012 ◽

Vol 252 (11) ◽

pp. 5951-5993 ◽

Cited By ~ 81

Author(s):

Hanchun Yang ◽

Yanyan Zhang

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

New Developments ◽

Delta Shock ◽

Systems Of Conservation Laws ◽

Delta Shock Waves

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High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov’s method with antidiffusion

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511040129 ◽

2011 ◽

Vol 51 (4) ◽

pp. 676-687 ◽

Cited By ~ 2

Author(s):

N. Ya. Moiseev

Keyword(s):

High Order ◽

Difference Schemes ◽

Godunov’S Method ◽

Godunov′S Method ◽

Gasdynamic Problems

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