Academician Sergeĭ Konstantinovich Godunov (on the occasion of his eightieth birthday)

K. V. Brushlinskiǐ ; V. G. Zhukov ; M. K. Kerimov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 1, pp. 3-9

Bibliographie

[1] Godunov S. K., Vvedenie v teoriyu raznostnykh skhem, Fizmatgiz, M., 1962 (with V. S. Ryabenkim) | MR

[2] Godunov S. K., Uravneniya matematicheskoi fiziki, Nauka, M.; Fizmatgiz, 1971 | MR

[3] Godunov S. K., Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 (with A. V. Zabrodinym, M. Ya. Ivanovym, A. N. Kraiko, G. P. Prokopovym), 400 pp. | MR | Zbl

[4] Godunov S. K., Elementy mekhaniki sploshnoi sredy, Nauka, M.; Fizmatgiz, 1978, 304 pp. | MR

[5] Godunov S. K., Garantirovannaya tochnost resheniya sistem lineinykh uravnenii, Nauka, Novosibirsk, 1992 (with A. G. Antonovym, O. P. Kirilyukom, V. I. Kostinym), 360 pp.

[6] Godunov S. K., Guaranted Accuracy in Numerical Linear Algebra, Math. and cts. Appl., 252, Kluwer, Dordrecht, 1993 (with A. Antonov, O. Kirilyuk, V. Kostin), 535 pp. | MR | Zbl

[7] Godunov S. K., Obyknovennye differentsialnye uravneniya s postoyannymi koeffitsientami, Uch. posobie, v. 1, Kraevye zadachi, Izd-vo NGU, Novosibirsk, 1994, 264 pp. | MR | Zbl

[8] Godunov S. K., Sovremennye aspekty lineinoi algebry, Nauka, Novosibirsk, 1997, 390 pp.

[9] Godunov S. K., Modern Aspects of Linear Algebra, Transl. Math. Monogr., 175, AMS, Providence, 1997, 284 pp. | MR

[10] Godunov S. K., Ordinary Differential Equations with Constant Coefficients, Trans. Math. Monogr., 169, FMS, Providence, 1997, 284 pp. | MR

[11] Godunov S. K., Lektsii po sovremennym aspektam lineinoi algebry, po konspektam obyazatelnogo kursa dlya magistrantov NGU, Nauchn. kniga, Novosibirsk, 2002, 204 pp.

[12] Godunov S. K., Elements of Continuum Mechanics and Conservatoin Laws, Kluwer Acad./Plenum Publ., 2003 (with E. Romenskii), 367 pp. | MR | Zbl

[1] Godunov S. K., “O zadache Minkovskogo”, Dokl. AN SSSR, 59:9 (1945), 1525–1528 | MR

[2] Godunov S. K., “O edinstvennosti resheniya uravnenii gidrodinamiki”, Matem. sb. Novaya seriya, 40:4 (1956), 467–478 | MR | Zbl

[3] Godunov S. K., “Raznostnyi metod rascheta udarnykh voln”, Uspekhi matem. nauk, 12:1 (1957), 176–177 | MR | Zbl

[4] Godunov S. K., “Raznostnye skhemy dlya mnogomernykh zadach”, Dokl. AN SSSR, 115:3 (1957), 431–433 (with K. A. Bagrinovskim) | MR | Zbl

[5] Godunov S. K., “Raznostnyi metod chislennogo resheniya rascheta razryvnykh reshenii uravnenii gidrodinamiki”, Matem. sb., 47:3 (1959), 276–306

[6] Godunov S. K., “Termodinamika gazov i differentsialnye uravneniya”, Uspekhi matem. nauk, 14:5 (1959), 171–174 | MR

[7] Godunov S. K., “O ponyatii obobschennogo resheniya”, Dokl. AN SSSR, 134:6 (1960), 1279–1282 | MR | Zbl

[8] Godunov S. K., “O needinstvennosti “razmazyvaniya” razryvov v resheniyakh kvazilineinykh sistem”, Dokl. AN SSSR, 136:2 (1961), 272–273 | MR | Zbl

[9] Godunov S. K., “O chislennom reshenii kraevykh zadach dlya sistem lineinykh obyknovennykh differentsialnykh uravnenii”, Uspekhi matem. nauk, 16:3 (1961), 171–174 | MR | Zbl

[10] Godunov S. K., “Primer needinstvennosti dlya nelineinoi parabolicheskoi sistemy”, Dokl. AN SSSR, 136:6 (1961), 1281–1282 | MR | Zbl

[11] Godunov S. K., “O needinstvennosti dlya parabolicheskikh sistem”, Dokl. AN SSSR, 145:3 (1962), 498–500 | MR | Zbl

[12] Godunov S. K., “Problema obobschennogo resheniya v teorii kvazilineinykh uravnenii i v gazovoi dinamike”, Uspekhi matem. nauk, 17:3 (1962), 47–158 | MR

[13] Godunov S. K., “Spektralnye priznaki ustoichivosti kraevykh zadach dlya nesamosopryazhennykh raznostnykh uravnenii”, Uspekhi matem. nauk, 18:3 (1963), 3–14 (with V. S. Ryabenkim) | MR | Zbl

[14] Godunov S. K., Variatsionnyi podkhod k resheniyu bolshikh sistem lineinykh uravnenii, voznikayuschikh v silnoellipticheskikh sistemakh, In-t prikl. matem. AN SSSR, M., 1968 (with G. P. Prokopovym), 41 pp.

[15] Godunov S. K., “Vyrazhenie funktsionala V. S. Vladimirova cherez sfericheskie garmoniki v tsenzornoi forme ($P_3$-priblizhenie)”, Zh. vychisl. matem. i matem. fiz., 8:4 (1968), 824–841 (with I. A. Adamskoi, G. P. Prokopovym) | MR | Zbl

[16] Godunov S. K., “O skhodimosti modelirovannogo metoda naiskoreishego spuska pri raschete sobstvennykh znachenii”, Differents. ur-niya s chastnymi proizvodnymi, Tr. Simp., posvyasch. 60-letiyu akad. S. L. Soboleva, Nauka, M., 1970, 77–80 (with V. V. Ognevoi, T. P. Prokopovym) | MR

[17] Godunov S. K., “O diskretnykh modelyakh kineticheskogo uravneniya Boltsmana”, Uspekhi matem. nauk, 26:3 (1971), 3–51 (with U. M. Sultangazinym) | MR | Zbl

[18] Godunov S. K., “O dissipativnosti granichnykh uslovii V. S. Vladimirova dlya simmetricheskoi sistemy metoda sfericheskikh garmonik”, Zh. vychisl. matem. i matem. fiz., 11:3 (1971), 688–704 (with U. M. Sultangazinym) | MR | Zbl

[19] Godunov S. K., “Ispolzovanie integrala energii dlya otsenki tochnosti priblizhennykh sobstvennykh znachenii”, Zh. vychisl. matem. i matem. fiz., 11:5 (1971), 1322–1326 | MR | Zbl

[20] Godunov S. K., “Ob ispolzovanii podvizhnykh setok v gazodinamicheskikh raschetakh”, Zh. vychisl. matem. i matem. fiz., 12:2 (1972), 429–440 (with G. P. Prokopovym) | MR | Zbl

[21] Godunov S. K., “Primenenie odnogo klassa kvazikonformnykh otobrazhenii dlya postroeniya raznostnykh setok v oblastyakh s krivolineinymi granitsami”, Zh. vychisl. matem. i matem. fiz., 1975, no. 6, 1499–1511 (with P. P. Belinskim, Yu. B. Ivanovoi, I. K. Yanenko) | MR | Zbl

[22] Godunov S. K., “Privedenie giperbolicheskogo uravneniya k simmetricheskoi giperbolicheskoi sisteme v sluchae dvukh prostranstvennykh peremennykh”, Sibirskii matem. zhurnal, 21:6 (1980), 3–20 (with V. I. Kostinym) | MR | Zbl

[23] Godunov S. K., “Matritsa Grina kraevoi zadachi dlya obyknovennykh differentsialnykh uravnenii”, Uspekhi matem. nauk, 39:1 (1984), 39–76 (with V. M. Gordienko) | MR | Zbl

[24] Godunov S. K., “Raschet polozhitelno opredelennykh reshenii uravneniya Lyapunova”, Tr. In-ta matem. SO AN SSSR, 6, 1985, 17–38 (with A. Ya. Bulgakovym) | MR | Zbl

[25] Godunov S. K., “Uchet vychislitelnykh pogreshnostei v odnom variante metoda sopryazhennykh gradientov”, Tr. In-ta matem. SO AN SSSR, 6, 1985, 38–55 (with A. Ya. Bulgakovym) | MR | Zbl

[26] Godunov S. K., “Vychislenie sobstvennogo vektora simmetricheskoi trekhdiagonalnoi matritsy”, Sibirskii matem. zhurnal, 26:5 (1985), 71–85 (with V. I. Kostinym, A. D. Minchenko) | MR | Zbl

[27] Godunov S. K., “Zadacha o dikhotomii spektra matritsy”, Sibirskii matem. zhurnal, 27:5 (1986), 24–37 | MR

[28] Godunov S. K., “Krugovaya dikhotomiya matrichnogo spektra”, Sibirskii matem. zhurnal, 29:5 (1988), 59–70 (with A. Ya. Bulgakovym) | MR

[29] Godunov S. K., “Singulyarnye chisla kraevoi zadachi na polupryamoi dlya lineinoi sistemy obyknovennykh differentsialnykh uravnenii”, Sibirskii matem. zhurnal, 30:4 (1989), 5–12 (with V. M. Gordienko) | MR | Zbl

[30] Godunov S. K., “Kriterii skhodimosti ortogonalno-stepennykh metodov spektralnogo analiza matrits”, Tr. In-ta matem. SO AN SSSR, 15, 1989, 4–12 | MR | Zbl

[31] Godunov S. K., “Ustoichivost iteratsii simplekticheskikh preobrazovanii”, Sibirskii matem. zhurnal, 30:1 (1989), 70–81 | MR

[32] Godunov S. K., “Postroenie raznostnykh setok v slozhnykh oblastyakh s pomoschyu kvazikonformnykh otobrazhenii”, Tr. In-ta matem. SO AN SSSR, 18, 1990, 75–83 (with E. I. Romenskim, G. A. Chumakovym) | MR | Zbl

[33] Godunov S. K., “Normy reshenii matrichnykh uravnenii Lure-Rikkati kak kriterii kachestva stabiliziruemosti i detektiruemosti”, Tr. In-ta matem. SO RAN, 22, 1992, 3–22 | MR | Zbl

[34] Godunov S. K., “Otsenka matritsy Grina gamiltonovoi sistemy v zadache optimalnogo upravleniya”, Sibirskii matem. zhurnal, 34:4 (1993), 70–80 | MR | Zbl

[35] Godunov S. K., “Khausdorfovy mnozhestva matrits i otsenka ugla mezhdu invariantnymi podprostranstvami”, Sibirskii matem. zhurnal, 36:3 (1995), 531–533 (with V. M. Gordienko) | MR | Zbl

[36] Godunov S. K., “Dikhotomiya spektra i kriterii ustoichivosti dlya sektorialnykh operatorov”, Sibirskii matem. zhurnal, 36:6 (1995), 1328–1335 | MR | Zbl

[37] Godunov S. K., “Sistemy termodinamicheski soglasovannykh zakonov sokhraneniya, invariantnykh otnositelno vraschenii”, Sibirskii matem. zhurnal, 37:4 (1996), 790–806 (with T. Yu. Mikhailovoi, E. I. Romanenko) | MR | Zbl

[38] Godunov S. K., “Otsenki dlya glavnoi i zhestkoi komponent na osnove integralnogo kriteriya kachestva dikhotomii”, Zh. vychisl. matem. i matem. fiz., 40:1 (2000), 35–42 (with Yu. M. Nechepurenko) | MR

[39] Godunov S. K., “O koltsevom rassloenii spektra matritsy”, Zh. vychisl. matem. i matem. fiz., 40:7 (2000), 980–985 (with Yu. M. Nechepurenko) | MR | Zbl

[40] Godunov S. K., “Chislennoe opredelenie kanonicheskoi formy simplekticheskoi matritsy”, Sibirskii matem. zhurnal, 42:4 (2001), 749–770 (with M. Sadkane) | MR | Zbl

[41] Godunov S. K., “Otsenki skorosti skhodimosti metoda Nyutona dlya vychisleniya invariantnykh podprostranstv”, Zh. vychisl. matem. i matem. fiz., 42:6 (2002), 771–779 (with Yu. M. Nechepurenko) | MR | Zbl

[42] Godunov S. K., “Ob ideyakh, ispolzuemykh pri postroenii raznostnykh setok”, Zh. vychisl. matem. i matem. fiz., 43:6 (2003), 787–789 | MR | Zbl

[43] Godunov S. K., “Koeffitsienty Klebsha-Gordana pri razlichnykh vyborakh bazisov unitarnykh i ortogonalnykh predstavlenii grupp $\mathrm{SU}(2)$, $\mathrm{SO}(3)$”, Sibirskii matem. zhurnal, 45:3 (2004), 540–557 (with V. M. Gordienko) | MR | Zbl

[44] Godunov S. K., “Metod rascheta invariantnykh prostranstv dlya simmetricheskikh giperbolicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 46:6 (2006), 1019–1031 (with V. T. Zhukovym, O. B. Feodoritovoi) | MR

[45] Godunov S. K., “O raznostnykh approksimatsiyakh pereopredelennykh giperbolicheskikh uravnenii klassicheskoi matematicheskoi fiziki”, Zh. vychisl. matem. i matem. fiz., 47:3 (2007), 445–459 (with D. P. Babiem, V. T. Zhukovym, O. B. Feodoritovoi) | MR | Zbl

[46] Godunov S. K., “K simmetrizatsii nelineinoi sistemy uravnenii gazovoi dinamiki”, Sibirskii matem. zhurnal, 49:5 (2008), 1046–1053 (with I. M. Peshkovym) | MR | Zbl

[47] Godunov S. K., “Simmetricheskie uravneniya nelineinoi teorii uprugosti”, Zh. vychisl. matem. i matem. fiz., 48:6 (2008), 1034–1055 (with I. M. Peshkovym) | Zbl

[48] Godunov S. K., “O spetsialnom bazise iz priblizhennykh sobstvennykh vektorov s lokalnym nositelyami dlya izolirovannogo uzkogo klastera sobstvennykh znachenii simmetrichnoi trekhdiagonalnoi matritsy”, Zh. vychisl. matem. i matem. fiz., 48:7 (2008), 1156–1166 (with A. N. Malyshevym)