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Analysis of Semi-Lagrangian Method for Saint-Venant Equations

Mofdi El-Amrani, Mohammed Seaıd

Abstract


This paper analyses the stability of characteristics (or semi-Lagrangian) method for a class of Saint-Venant equations including viscous effects. As a main result we prove that the method is consistent of first order in time. Optimal error estimates are given for both free surface height and velocity field.

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