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 
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/
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     title = {The weighted residuals method based on neuronet approximations for simulation of hydrodynamics problems},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2006_9_1_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Fletcher K., Vychislitelnye metody v dinamike zhidkostei, V 2-kh tomakh, Mir, M., 1991

[2] Ageev D. A., Galushkin A. I., Neiromatematika, IPRZhR, M., 2002

[3] Richardson C. J., Barlow D. J., “Neural network computer simulation of medical aerosols”, J. Pharm. and Pharmacol., 48:6 (1996), 581–591

[4] Dyakonov V. B., Kruglov V. A., Matematicheskie pakety rasshireniya MATLAB. Spetsialnyi spravochnik, Piter, SPb., 2001

[5] Bystrov P. I., Mikhailov V. S., Gidrodinamika kollektornykh teploobmennykh apparatov, Energoizdat, M., 1982

[6] Statnikov R. B., Matusov I. B., Mnogokriterialnoe proektirovanie mashin, Znanie, M., 1989 | MR