On a numerical-analytic investigation of problems of the diffraction of a plane sound wave by ideal prolate spheroids and triaxial ellipsoids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 9, pp. 1374-1400 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. A. Abramov; A. L. Dyshko; N. B. Konyukhova; T. V. Levitina. On a numerical-analytic investigation of problems of the diffraction of a plane sound wave by ideal prolate spheroids and triaxial ellipsoids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 9, pp. 1374-1400. http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_9_a4/

[1] Fedoryuk M. V., “Difraktsiya zvukovykh voln na trekhosnom ellipsoide”, Akustich. zh., 34:1 (1988), 160–164 | MR

[2] Fedoryuk M. V., “Difraktsiya voln na trekhosnom ellipsoide”, Differents. ur-niya, 25:11 (1989), 1990–1995 | MR

[3] Sleeman B. D., “The scalar scattering of a plane wave by an ellipsoid”, J. Inst. Math. Applies., 3 (1967), 4–15 | DOI | Zbl

[4] Abramov A. A., Dyshko A. L., Konyukhova H. B. i dp., “Vychislenie vytyanutykh sferoidalnykh funktsii resheniem sootvetstvuyuschikh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 24:1 (1984), 3–18 | MR | Zbl

[5] Abramov A. A., Dyshko A. L., Konyukhova H. B., Levitina T. V., “Vychislenie uglovykh volnovykh funktsii Lame resheniem vspomogatelnykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 29:6 (1989), 813–830 | MR

[6] by Абрамов А. А., Дышко А. Л., Конюхова H. Б., Левитина Т. В. “Vychislenie radialnykh volnovykh funktsii dlya sferoidov i trekhosnykh ellipsoidov modifitsirovannym metodom fazovykh funktsii”, Zh. vychisl. matem. i matem. fiz., 31:2 (1991), 212–234 | MR | Zbl

[7] Fedoryuk M. V., “Rasseyanie zvukovykh voln tonkim akusticheski zhestkim telom vrascheniya”, Akustich. zh., 27:4 (1981), 605–609 | MR

[8] Boiko A. I., “Rasseyanie ploskikh voln tonkim telom vrascheniya”, Akustich. zh., 29:3 (1983), 321–325 | MR

[9] Boiko A. I., Dyshko A. L., Tetyukhin M. Yu., “Rasseyanie ploskoi volny na vytyanutom akusticheski myagkom tele vrascheniya”, Akustich. zh., 38:5 (1993), 834–843

[10] Bowan J. J., Senior T. B. A., Uslenghi P. L. E., Electromagnetic and acoustic scattering by simple shapes, North-Holland Publ. Co., Amsterdam, 1969 | MR

[11] Abramov A. A., Konyukhova N. B., Levitina T. V., “O zadache difraktsii ploskoi zvukovoi volny na trekhosnom ellipsoide”, Differents. ur-niya, 29:8 (1993), 1347–1357 | MR | Zbl

[12] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1976 | Zbl

[13] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1977

[14] Khenl X., Maue A., Vestpfal K., Teoriya difraktsii, Mir, M., 1964

[15] Vekua I. N., “O metagarmonicheskikh funktsiyakh”, Tr. Tbilissk. matem. in-ta, 12, Tbilisi, 1943, 105–174 | Zbl

[16] Miller U., Simmetriya i razdelenie peremennykh, Mir, M., 1981 | MR

[17] Källström A., Sleeman B. D., “A left difinite multiparameter eigenvalue problem in ordinary differential equations”, Proc. Roy. Soc. Edinburgh Sect. A, 74:11 (1974/75), 145–155 | MR

[18] Komarov I. B., Ponomarev L. I., Slavyanov S. Yu., Sferoidalnye i kulonovskie sferoidalnye funktsii, Nauka, M., 1976 | MR | Zbl

[19] Boiko A. I., Dyshko A. L., Tetyukhin M. Yu., “Difraktsiya ploskikh zvukovykh voln na myagkikh i zhestkikh vytyanutykh sferoidakh”, Soobsch. po prikl. matem., VTs RAN, M., 1993

[20] Konyukhova N. B., Pak T. V., “Difraktsiya ploskoi zvukovoi volny na zhestkom vytyanutom sferoide”, Soobsch. po prikl. matem., VTs AN SSSR, M., 1986

[21] Valueva V. N., Difraktsiya zvukovykh voln na vytyanutykh telakh, Dis. $\dots$ kand. fiz.-matem. nauk, Akustich. in-t AN SSSR, M., 1989, 142 pp.

[22] Tetyukhin M. Yu., Fedoryuk M. V., “Rasseyanie ploskoi zvukovoi volny na protyazhennom tele proizvolnoi formy”, Akustich. zh., 32:6 (1986), 811–815

[23] Tetyukhin M. Yu., “Difraktsiya na uprugom vytyanutom tele proizvolnoi formy”, Akustich. zh., 35:2 (1989), 339–342

[24] Konyukhova N. B., Pak T. V., “O difraktsii ploskoi zvukovoi volny na zhestkikh vytyanutykh sferoidakh”, Volny i difraktsiya, v. 1, Izd-vo Tbilissk. un-ta, Tbilisi, 1985, 281–284

[25] Fedoryuk M. V., “Volnovye funktsii Lame”, Izv. AN SSSR. Ser. matem., 52:4 (1988), 853–874 | MR