The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems

Edwige Godlewski; Kim-Claire Le Thanh; Pierre-Arnaud Raviart

doi:10.1051/m2an:2005029

The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2005029 ◽

2005 ◽

Vol 39 (4) ◽

pp. 649-692 ◽

Cited By ~ 27

Author(s):

Edwige Godlewski ◽

Kim-Claire Le Thanh ◽

Pierre-Arnaud Raviart

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Interface Coupling ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: I. The scalar case

Numerische Mathematik ◽

10.1007/s00211-002-0438-5 ◽

2004 ◽

Vol 97 (1) ◽

pp. 81-130 ◽

Cited By ~ 41

Author(s):

E. Godlewski ◽

P.-A. Raviart

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Scalar Case ◽

Interface Coupling ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications

Lecture Notes in Mathematics - Evolutionary Equations with Applications in Natural Sciences ◽

10.1007/978-3-319-11322-7_9 ◽

2014 ◽

pp. 439-493 ◽

Cited By ~ 1

Author(s):

Mapundi Kondwani Banda

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30267-0 ◽

1991 ◽

Vol 8 (3-4) ◽

pp. 333-350 ◽

Cited By ~ 5

Author(s):

Michel Rascle

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Dynamic Study ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Global existence of solutions to nonlinear hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/0022-0396(76)90102-9 ◽

1976 ◽

Vol 20 (1) ◽

pp. 187-212 ◽

Cited By ~ 53

Author(s):

Ronald J DiPerna

Keyword(s):

Global Existence ◽

Conservation Laws ◽

Existence Of Solutions ◽

Hyperbolic Systems ◽

Global Existence Of Solutions ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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High resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws

Journal of Computational Physics ◽

10.1016/0021-9991(92)90009-n ◽

1992 ◽

Vol 101 (2) ◽

pp. 314-329 ◽

Cited By ~ 36

Author(s):

Richard Sanders ◽

Alan Weiser

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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High-order schemes and entropy condition for nonlinear hyperbolic systems of conservation laws

Mathematics of Computation ◽

10.1090/s0025-5718-1988-0917818-1 ◽

1988 ◽

Vol 50 (181) ◽

pp. 53-53 ◽

Cited By ~ 7

Author(s):

J.-P. Vila

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

High Order ◽

Entropy Condition ◽

High Order Schemes ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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On the structure of solutions of nonlinear hyperbolic systems of conservation laws

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2011.10.1011 ◽

2011 ◽

Vol 10 (4) ◽

pp. 1011-1036 ◽

Cited By ~ 4

Author(s):

Gui-Qiang Chen ◽

Monica Torres

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Structure Of Solutions ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Boundary Conditions for Nonlinear Hyperbolic Systems of Conservation Laws

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications ◽

10.1007/978-3-322-87869-4_10 ◽

1989 ◽

pp. 96-104 ◽

Cited By ~ 1

Author(s):

François Dubois ◽

Philippe Floch

Keyword(s):

Boundary Conditions ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(99)00062-2 ◽

1999 ◽

Vol 50 (1-4) ◽

pp. 77-95 ◽

Cited By ~ 24

Author(s):

Edwige Godlewski ◽

Pierre-Arnaud Raviart

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Stability Of Solutions ◽

Linearized Stability ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Boundary conditions for nonlinear hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/0022-0396(88)90040-x ◽

1988 ◽

Vol 71 (1) ◽

pp. 93-122 ◽

Cited By ~ 151

Author(s):

François Dubois ◽

Philippe Le Floch

Keyword(s):

Boundary Conditions ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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