Geodesic
Numerical algorithm for constructing jet flows of a~liquid of the hydrodynamic
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2009), pp. 5-13

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This work dedicated learning simple jet flows in incompressible liquid. It is learning planar potential flow incompressible liquid in simply connected domain, consist a polygon and jet flows is leaning endpoint of a polygon. Thus, $P(T)$ coincides with $P$ if $T$ satisfies the functional equation $g(T,\alpha)=l, g=(g_1,\dots,g_n), g_k=\int_{t_k}^{t_{k+1}}|\Pi(t)M(t)|\,dt$, where $l=(l_1\ldots l_n)$ is the vector of side length of $P$ and $\alpha\pi=(\alpha_1\ldots\alpha_n)\pi$ is the vector of its interior angles. This proved local uniqueness of the solution equation describing these schemes.The algorithm is constructed and is proved his convergence.
Keywords: analytical function, local uniqueness, jet flows. 
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     author = {Y. V. Gubkina},
     title = {Numerical algorithm for constructing jet flows of a~liquid of the hydrodynamic},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {5--13},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2009_3_a0/}
}
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Y. V. Gubkina. Numerical algorithm for constructing jet flows of a~liquid of the hydrodynamic. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2009), pp. 5-13. http://geodesic.mathdoc.fr/item/VTGU_2009_3_a0/