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math.AP2012★ 4 cited
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical…
math.AP2012★ 11 cited
Coupling techniques for nonlinear hyperbolic equations. III. The well-balanced approximation of thick interfaces
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
We continue our analysis of the coupling between nonlinear hyperbolic problems across possibly resonant interfaces. In the first two parts of this series, we introduced a new frame…