Geodesic
Solution of the Rayleigh equation with the use of computer algebra
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 4, pp. 669-673 
S. L. Gorelov; V. A. Zharov; Yu. I. Khlopkov. Solution of the Rayleigh equation with the use of computer algebra. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 4, pp. 669-673. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_4_a15/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Landahl M. T., “A wave-guide model for turbulent shear flow”, J. Fluid Mech., 29 (1967), 441–459 | DOI | Zbl

[2] Zharov V. A., “O volnovoi teorii razvitogo turbulentnogo pogranichnogo sloya”, Uch. zap. TsAGI, 17:5 (1986), 28–38 | MR | Zbl

[3] Zharov V. A., “Asimptoticheskoe opisanie slabonelineinykh volnovykh paketov v srede so slaboi dispersiei, tipichnoi dlya laminarnykh pogranichnykh sloev na plastine, obtekaemoi neszhimaemoi zhidkostyu”, Tr. TsAGI, 2523, M., 1993

[4] Lin C. C., “On the stabilit of two-dimensional parallel flows. Part 1”, Quart. Appl. Math., 3:2 (1945), 117–142 | MR | Zbl

[5] Mikhailov V. V., “Ob asimptotike neitralnykh krivykh lineinoi zadachi ustoichivosti laminarnogo pogranichnogo sloya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1981, no. 5, 39–46 | Zbl

[6] Zhuk V. I., Ryzhov O. S., “Ob asimptotike reshenii uravneniya Orra–Zommerfelda, zadayuschikh neustoichivye kolebanii pri bolshikh chislakh Reinoldsa”, Dokl. AN SSSR, 268:6 (1983), 1328–1332 | MR | Zbl

[7] Zhuk V. I., “Ob asimptotike reshenii uravnenii Orra–Zommerfelda v oblastyakh, primykayuschikh k dvum vetvyam neitralnoi krivoi”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1984, no. 4, 3–11 | Zbl

[8] Shanks D., “Nonlinear transformations of divergent and slowly convergent sequences”, J. Math. Phys., 34 (1955), 1–42 | MR | Zbl

[9] Beiker Dzh., Greivs-Morris G., Approksimatsii Pade, Mir, M., 1986

[10] Nikolaev B. C., “Reshenie sistem obyknovennykh differentsialnykh uravnenii metodom razlozheniya v stepennye ryada na bystrodeistvuyuschikh vychislitelnykh mashinakh”, Zh. vychisl. matem. i matem. fiz., 5:4 (1965), 608–614 | MR | Zbl

[11] Gusev V. N., Zhbakova A. V., “Stok v vyazkom teploprovodnom gaze”, Uch. zap. TsAGI, 5:6 (1974), 23–29

[12] Milton Van Dyke, “Computer-extended series”, Ann. Rev. Fluid Mech., 16 (1984), 287–309 | DOI

[13] Daventport Dzh., Sire I., Turne E., Kompyuternaya algebra. Sistemy i algoritmy algebraicheskikh vychislenii, Mir, M., 1991

[14] Shlikhting G., Teoriya pogranichnogo sloya, Nauka, M., 1974

[15] Zharov V. A., Dlinnovolnovaya asimptotika sobstvennykh reshenii uravneniya Releya na vypuklom profile pogransloinogo tipa, fazovaya skorost kotorykh blizka k skorosti nabegayuschego potoka, Preprint No 74, TsAGI, M., 1993

[16] Lin Dzya-dzyao, Teoriya gidrodinamicheskoi ustoichivosti, Izd-vo inostr. lit., M., 1958