Geodesic
On the alternating directions method for the calculation in cylindrical coordinates of the flow of a~viscous incompressible fluid
Izvestiya. Mathematics , Tome 5 (1971) no. 2, pp. 267-277.

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The paper presents alternating directions schemes for the Navier–Stokes equations in cylindrical coordinates. The convergence of the approximate solutions to the exact solutions is proved, and estimates are given for the speed of convergence. 
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O. A. Ladyzhenskaya; V. Ya. Rivkind. On the alternating directions method for the calculation in cylindrical coordinates of the flow of a~viscous incompressible fluid. Izvestiya. Mathematics , Tome 5 (1971) no. 2, pp. 267-277. http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a0/

[1] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR

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[5] Rivkind V. Ya., “Ob otsenke skorosti skhodimosti odnorodnykh raznostnykh skhem dlya ellipticheskikh i parabolicheskikh uravnenii s razryvnymi koeffitsientami”, Problemy matem. analiza, LGU, 1966

[6] Témam R., “Sur l'approximation de la solution des équations de Navier–Stokes par la méthode des pas fractionnaires”, Archive for Rational Mechanics and Analysis, 32:2 (1969), 135–153 | DOI | MR | Zbl

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