Geodesic
The use of fdm for the solution of the Shallow-Water equations
Matematičeskoe modelirovanie, Tome 13 (2001) no. 3, pp. 57-60.

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The modified system of the shallow water equations with retention of the non-linear terms is considered. The finite difference method is used for solving the initial-boundary problem. The central difference implicit scheme was suggested for approximation this problem. The investigation of this scheme was proposed. Special triangular iterative method was created for the solution of arising nonsymmetric linear system. 
@article{MM_2001_13_3_a6,
     author = {L. A. Krukier and G. V. Muratova},
     title = {The use of fdm for the solution of the {Shallow-Water} equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {57--60},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_3_a6/}
}
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L. A. Krukier; G. V. Muratova. The use of fdm for the solution of the Shallow-Water equations. Matematičeskoe modelirovanie, Tome 13 (2001) no. 3, pp. 57-60. http://geodesic.mathdoc.fr/item/MM_2001_13_3_a6/