Geodesic
The weighted residuals method based on neuronet approximations for simulation of hydrodynamics problems
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 1, pp. 23-35

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An algorithm of the numerical solution to hydrodynamics equations with representation of the solution according to the method of weighted residuals based on the general neuronet approximation over the whole flow area has been developed. The algorithm was tested on solving the two-dimensional Navier-Stokes equations. The algorithm is applied to modeling the variable mass flow. 
@article{SJVM_2006_9_1_a2,
     author = {A. V. Kretinin},
     title = {The weighted residuals method based on neuronet approximations for simulation of hydrodynamics problems},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {23--35},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2006_9_1_a2/}
}
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A. V. Kretinin. The weighted residuals method based on neuronet approximations for simulation of hydrodynamics problems. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 1, pp. 23-35. http://geodesic.mathdoc.fr/item/SJVM_2006_9_1_a2/