Geodesic
A finite-difference scheme for the system of atmosphere dynamics-type equations
Numerical methods and programming, Tome 14 (2013) no. 3, pp. 383-389.

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A finite-difference scheme for the system of atmosphere dynamics-type equations is considered. It is proved that the finite-difference solution converges to the solution of the differential problem. The order of convergence is found. An efficient algorithm to obtain a finite-difference solution numerically is proposed.
Keywords: atmosphere dynamics equations; partial differential equations; finite-difference schemes; convergence. 
@article{VMP_2013_14_3_a14,
     author = {M. Yu. Stanichenko},
     title = {A finite-difference scheme for the system of atmosphere dynamics-type equations},
     journal = {Numerical methods and programming},
     pages = {383--389},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2013_14_3_a14/}
}
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M. Yu. Stanichenko. A finite-difference scheme for the system of atmosphere dynamics-type equations. Numerical methods and programming, Tome 14 (2013) no. 3, pp. 383-389. http://geodesic.mathdoc.fr/item/VMP_2013_14_3_a14/