Mathematics – Numerical Analysis
Scientific paper
2009-12-10
Mathematics
Numerical Analysis
31 pages, 7 figures
Scientific paper
10.1142/S0219891611002573
We consider the numerical approximation of a system of partial differential equations involving a nonlinear Schr\"odinger equation coupled with a hyperbolic conservation law. This system arises in models for the interaction of short and long waves. Using the compensated compactness method, we prove convergence of approximate solutions generated by semi-discrete finite volume type methods towards the unique entropy solution of the Cauchy problem. Some numerical examples are presented.
Amorim Paulo
Figueira Mário
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