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Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method

Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method

We describe certain crucial steps in the development of an algorithm for finding the Riemann solution to systems of conservation laws. We relax the classical hypotheses of strict hyperbolicity and genuine nonlinearity due to Lax. First, we present a procedure for continuing wave curves beyond points where characteristic speeds coincide, …