In this paper we present a numerical scheme for the approximation of singularshock solutions of the Keyfitz-Kranzer model system. Consistence in the senseof distributions is studied. As long as some numerical properties are verifiedwhen the space step tends to 0, we prove that the scheme provides a numericalsolution that satisfies the equations in the sense of distributions with anapproximation that tends to 0 when h \rightarrow 0. We also show that thisscheme adapts to degenerate systems. This is illustrated by two examples: thesystem presenting delta wave solutions originally studied by Korchinski andanother system studied by Keyfitz-Kranzer that models elasticity. Consistenceof the scheme in the sense of distributions is fully proved in the case of theKorchinski model.
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