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Proceedings of the Conference on Applied Mathematics and Scientific Computing
The numerical method we consider is based on the nonstaggered central scheme proposed by Jiang, Levy, Lin, Osher, and Tadmor (SIAM J. Numer. Anal. 35, 2147 (1998 ) that was obtained by conversion of the standard central NT scheme to the nonstaggered mesh. The generalization we propose is connected with the numerical evaluation of the geometrical source term. The presented scheme is applied to the nonhomogeneous shallow water system. Including an appropriate numerical treatment for the sourcedoi:10.1007/1-4020-3197-1_11 fatcat:ac4d3nbsezekbiblmuyeyuh2vq