Gennadii Alekseevich Mikhailov (on the occasion of his seventieth birthday)

M. K. Kerimov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 9, pp. 1531-1537

Bibliographie

[1] Mikhailov G. A., “Raschety kriticheskikh sistem metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 6:1 (1966), 71–80

[2] Mikhailov G. A., “O raschetakh vozmuschenii yadernykh reaktorov metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 6:2 (1966), 380–384

[3] Mikhailov G. A., “O modelirovanii sluchainykh velichin dlya odnogo klassa zakonov raspredeleniya”, Teoriya veroyatnostei i ee primeneniya, 10:4 (1965), 749–751

[4] Mikhailov G. A., “K voprosu o postroenii ekonomichnykh algoritmov modelirovaniya sluchainykh velichin”, Zh. vychisl. matem. i matem. fiz., 6:6 (1966), 1134–1136

[5] Mikhailov G. A., “O reshenii zadach atmosfernoi optiki metodom Monte-Karlo”, Izv. AN SSSR. Fiz. atmosf. i okeana, 3:3 (1967), 258–273 (with G. I. Marchukom)

[6] Mikhailov G. A., “Vychislenie metodom Monte-Karlo proizvodnykh funktsionalov ot resheniya uravneniya perenosa po parametram sistem”, Zh. vychisl. matem. i matem. fiz., 7:4 (1967), 915–919

[7] Mikhailov G. A., “Ob effektivnosti primeneniya razlichnykh sposobov umensheniya dispersii v raschetakh po metodu pokolenii”, Metod Monte-Karlo v probleme perenosa izlucheniya, Atomizdat, M., 1967, 205–211

[8] Mikhailov G. A., “O primenenii eksponentsialnogo preobrazovaniya v raschetakh prokhozhdeniya chastits metodom Monte-Karlo”, Metod Monte-Karlo v probleme perenosa izlucheniya, Atomizdat, M., 1964, 67–71

[9] Mikhailov G. A., “Raschety proizvodnykh effektivnogo koeffitsienta razmnozheniya neitronov v reaktore”, Metod Monte-Karlo v probleme perenosa izlucheniya, Atomizdat, M., 1967, 197–204

[10] Mikhailov G. A., “Otsenka nekotorykh nelineinykh funktsionalov i priblizhennyi raschet gruppovykh konstant teorii perenosa metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 8:3 (1968), 590–599

[11] Mikhailov G. A., “Ob odnom “pryamom” sposobe modelirovaniya sluchainykh velichin”, Zh. vychisl. matem. i matem. fiz., 8:4 (1968), 928–929

[12] Mikhailov G. A., “Ob odnom printsipe optimizatsii raschetov po metodu Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 8:5 (1968), 1085–1093

[13] Mikhailov G. A., “Ispolzovanie asimptoticheskikh reshenii problemy Milna v raschetakh po metodu Monte-Karlo”, Izv. vuzov. Fizika, 1968, no. 10, 76–79

[14] Mikhailov G. A., “Ob algoritmakh statisticheskogo modelirovaniya diffuzii izlucheniya v srede s otrazhayuschei poverkhnostyu”, Izv. vuzov. Fizika, 1968, no. 9, 99–105 (with G. M. Krekovym, B. A. Karginym)

[15] Mikhailov G. A., “O reshenii zadachi Dirikhle dlya uravneniya $\Delta u-cu=-g$ modelirovaniem “bluzhdayuschei po sferam””, Zh. vychisl. matem. i matem. fiz., 9:3 (1969), 647–654 (with B. S. Elepovym)

[16] Mikhailov G. A., “Ispolzovanie priblizhennykh reshenii sopryazhennoi zadachi dlya uluchsheniya algoritmov metoda Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 9:5 (1969), 1145–1152 | Zbl

[17] Mikhailov G. A., “Ob odnom klasse otsenok po metodu Monte-Karlo”, Teor. veroyatn. i ee primeneniya, 15:1 (1970), 142–144

[18] Mikhailov G. A., “Novyi algoritm metoda Monte-Karlo dlya otsenki maksimalnogo sobstvennogo znacheniya integralnogo operatora”, Dokl. AN SSSR, 191:5 (1970), 993–996

[19] Mikhailov G. A., “Optimizatsiya otsenki funktsionalnykh zavisimostei metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 10:3 (1970), 734–740 (with M. A. Nazaralievym)

[20] Mikhailov G. A., “O II Vsesoyuznom soveschanii po metodam Monte-Karlo. Sukhumi. 20–25 okt. 1969”, Zh. vychisl. matem. i matem. fiz., 10:3 (1970), 798–799 (with V. V. Chavchanidze)

[21] Mikhailov G. A., “Dva zamechaniya o modelirovanii sluchainykh velichin”, Zh. vychisl. matem. i matem. fiz., 12:5 (1972), 1350–1352

[22] Mikhailov G. A., “Modifikatsiya lokalnoi otsenki potoka chastits metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 3:3 (1973), 574–582 | MR | Zbl

[23] Mikhailov G. A., “Nekotorye zamechaniya ob ispolzovanii sopryazhennykh reshenii dlya uluchsheniya algoritmov metoda Monte-Karlo”, Issled. operatsii i statist. modelir., 1, Leningr. un-t, L., 1972, 112–119

[24] Mikhailov G. A., “Algoritmy metoda Monte-Karlo dlya resheniya zadachi Dirikhle v slozhnykh oblastyakh s odnovremennoi otsenkoi gradienta potentsiala”, Tr. III Kazakhstan. Mezhvuz. nauchn. konf. po matem. i mekhan. (1967, Alma-Ata), 1970, 151–153 (with B. C. Elepovym, G. R. Stefanyukom)

[25] Mikhailov G. A., “Chislennoe postroenie sluchainogo polya s zadannoi spektralnoi plotnostyu”, Dokl. AN SSSR, 238:4 (1978), 793–795 | MR

[26] Mikhailov G. A., Nekotorye zadachi teorii i prilozhenii metoda Monte-Karlo, Preprint No 5, Vychisl. Tsentr Sibirsk. otdeleniya AN SSSR, 1977, 14 pp.

[27] Mikhailov G. A., “Otsenka trudoemkosti modelirovaniya protsessa “bluzhdaniya po sferam” dlya nekotorykh tipov oblastei”, Zh. vychisl. matem. i matem. fiz., 19:2 (1979), 510–515 | MR

[28] Mikhailov G. A., “Razvitie i primenenie metoda chislennogo statisticheskogo modelirovaniya dlya resheniya mnogomernykh zadach teorii perenosa izlucheniya”, Sib. matem. zh., 20:3 (1979), 682–687 | MR

[29] Mikhailov G. A., “Nelineinye uravneniya, svyazannye s optimizatsiei metodom Monte-Karlo dlya resheniya integralnykh uravnenii vtorogo roda”, Dokl. AN SSSR, 252:4 (1980), 792–796 | MR

[30] Mikhailov G. A., “Dispersiya vektornykh algoritmov metoda Monte-Karlo”, Dokl. AN SSSR, 253:5 (1980), 1047–1050 | MR

[31] Mikhailov G. A., “Algoritmy raschetov slozhnoi reaktornoi yacheiki metodom Monte-Karlo”, Metody Monte-Karlo v vychisl. matem. i matem. fiz., Tr. 6-go Vsesoyuznogo sovesch. (1979), v. 1, Novosibirsk, 1979, 99–113 (with S. G. Musikhinym)

[32] Mikhailov G. A., “Algoritmy raschetov slozhnoi reaktornoi yacheiki metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 21:2 (1981), 432–440 (with S. G. Musikhinym) | MR

[33] Mikhailov G. A., “O modulnoi sisteme algoritmov metoda Monte-Karlo dlya rascheta yadernykh reaktorov s nestandartnoi geometriei”, Chislennye metody i statist. modelir. v perenose, Novosibirsk, 1980, 95–106 (with L. V. Golovyashinoi, S. B. Tsetsokhoi)

[34] Mikhailov G. A., “Optimizatsiya vektornykh algoritmov metoda Monte-Karlo”, Dokl. AN SSSR, 260:1 (1986), 26–31

[35] Mikhailov G. A., “Nelineinaya teoriya optimalnosti statisticheskogo modelirovaniya dlya resheniya integralnykh uravnenii II roda”, Zh. vychisl. matem. i matem. fiz., 21:6 (1981), 1435–1449 | MR

[36] Mikhailov G. A., “Modelirovanie sluchainykh protsessov i polei na osnove tochechnykh potokov Palma”, Dokl. AN SSSR, 262:3 (1982), 531–535 | MR

[37] Mikhailov G. A., “Priblizhennye modeli sluchainykh protsessov i polei”, Zh. vychisl. matem. i matem. fiz., 23:3 (1983), 558–566 | MR

[38] Mikhailov G. A., “Ravnomernaya optimizatsiya vesovykh metodov Monte-Karlo (minimaksnyi podkhod)”, Dokl. AN SSSR, 270:5 (1983), 1054–1058 | MR

[39] Mikhailov G. A., “Modelirovanie sluchainykh polei pri reshenii stokhasticheskikh zadach metodom Monte-Karlo”, Aktualnye problemy vychisl. i prikl. matem., Novosibirsk, 1983, 122–127 (with B. C. Troinikovym)

[40] Mikhailov G. A., “Ravnomernaya optimizatsiya vesovykh otsenok metoda Monte-Karlo”, Dokl. AN SSSR, 303:2 (1988), 290–293 (with L. A. Zhiglyavskim)

[41] Mikhailov G. A., Minimaksnye algoritmy vesovykh metodov Monte-Karlo, Prepr. No 810, AN SSSR SO VTs, Novosibirsk, 1988, 27 pp. | MR

[42] Mikhailov G. A., “Minimaksnye modeli metoda Monte-Karlo”, Metody i algoritmy statist. modelir., Novosibirsk, 1983, 4–12

[43] Mikhailov G. A., “Minimaksnaya teoriya vesovykh metodov Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 24:9 (1984), 1294–1302 | MR

[44] Mikhailov G. A., “Pogreshnost metoda Monte-Karlo pri reshenii vektornogo uravneniya perenosa”, Dokl. AN SSSR, 279:6 (1984), 1318–1322 | MR

[45] Mikhailov G. A., “Vektornye vesovye otsenki metoda Monte-Karlo”, Aktualn. prob. vychisl. matem. i matem. modelirovaniya, Novosibirsk, 1985, 228–239

[46] Mikhailov G. A., Vektornye metody Monte-Karlo dlya vychisleniya iteratsii rezolvent integralnykh operatorov, Prepr. No 573, VTs SO AN SSSR, 1985, 16 pp. | MR

[47] Mikhailov G. A., “Vesovaya otsenka po probegu s nulevoi dispersiei”, Teoriya i algoritmy statist. modelirovaniya, Novosibirsk, 1984, 21–28

[48] Mikhailov G. A., “Issledovanie i umenshenie dispersii vesovykh vektornykh algoritmov metoda Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 25:11 (1985), 1614–1627 | MR

[49] Mikhailov G. A., “Vektornye predstavleniya bilineinykh otsenok metoda Monte-Karlo i realizatsiya spetsialnykh iteratsionnykh protsessov”, Dokl. AN SSSR, 285:4 (1985), 803–807 | MR

[50] Mikhailov G. A., Metody Monte-Karlo dlya resheniya zadach so sluchainymi parametrami, Prepr. No 653, VTs SO AN SSSR, 1986, 36 pp. | MR

[51] Mikhailov G. A., “Vektornye metody Monte-Karlo dlya vychisleniya iteratsii rezolvent integralnykh operatorov”, Zh. vychisl. matem. i matem. fiz., 26:8 (1986), 1141–1149 | MR

[52] Mikhailov G. A., Optimizatsiya vesovykh metodov Monte-Karlo, Nauka, M., 1987, 239 pp. | MR

[53] Mikhailov G. A., “Novyi podkhod k vychisleniyu proizvodnykh po parametram metodom Monte-Karlo”, Dokl. AN SSSR, 295:1 (1987), 34–37

[54] Mikhailov G. A., Metody Monte-Karlo i teoriya vozmuschenii, Prepr. No 733, VTs SO AN SSSR, 1987, 26 pp. | MR

[55] Mikhailov G. A., “Vektornye metody Monte-Karlo dlya vychisleniya vozmuschenii i proizvodnykh po parametram”, Zh. vychisl. matem. i matem. fiz., 27:9 (1987), 1311–1319 | MR

[56] Mikhailov G. A., “Minimaksnye resheniya uravnenii, opredelyayuschikh dispersii vesovykh otsenok metoda Monte-Karlo”, Dokl. AN SSSR, 307:5 (1989), 1050–1054

[57] Mikhailov G. A., “Minimaksnye metody Monte-Karlo dlya resheniya integralnykh uravnenii II roda”, Zh. vychisl. matem. i matem. fiz., 29:11 (1989), 1650–1661

[58] Mikhailov G. A., Trudoemkost metodov Monte-Karlo dlya globalnoi otsenki reshenii mnogomernykh zadach, Prepr. No 922, AN SSSR SO RAN, Novosibirsk, 1990, 36 pp.

[59] Mikhailov G. A., “Novye algoritmy metoda Monte-Karlo dlya resheniya uravneniya Gelmgoltsa”, Dokl. AN SSSR, 326:6 (1992), 943–947 | MR

[60] Mikhailov G. A., Algoritmy “bluzhdaniya po sferam” dlya resheniya uravneniya Gelmgoltsa, Prepr. No 979, VTs SO RAN, Novosibirsk, 1992, 37 pp. | MR

[61] Mikhailov G. A., Metody Monte-Karlo s vychisleniem parametricheskikh proizvodnykh dlya resheniya metagarmonicheskikh uravnenii, Prepr. No 990, VTs SO RAN, Novosibirsk, 1993, 32 pp.

[62] Mikhailov G. A., “Reshenie uravneniya $\Delta u+u^n=0$ metodom Monte-Karlo”, Dokl. AN RAN, 331:6 (1993), 681–683

[63] Mikhailov G. A., “Metody Monte-Karlo dlya resheniya metagarmonicheskikh uravnenii vida $\Delta^{p+1}u+cu=(-1)^{p+1}g$”, Dokl. RAN, 331:1 (1993), 20–23 | Zbl

[64] Mikhailov G. A., “Novye metody Monte-Karlo dlya vychisleniya kriticheskikh znachenii parametrov uravnenii perenosa chastits”, Dokl. RAN, 332:1 (1993), 21–23

[65] Mikhailov G. A., “Skhodimost vychislitelnykh modelei sluchainykh polei, svyazannykh s tochechnymi potokami Palma”, Dokl. RAN, 335:3 (1994), 291–294

[66] Mikhailov G. A., “Reshenie zadachi Dirikhle dlya ellipticheskikh sistem s peremennymi parametrami metodom Monte-Karlo”, Dokl. RAN, 336:6 (1994), 737–740 (with A. F. Cheshovoi)

[67] Mikhailov G. A., “Otsenka “po probegu” dlya resheniya lineinogo i nelineinogo uravneniya perenosa izlucheniya v tselom”, Dokl. RAN, 337:2 (1994), 162–164 (with M. Yu. Plotnikovym)

[68] Mikhailov G. A., “Reshenie zadachi Dirikhle dlya nelineinykh ellipticheskikh uravnenii metodom Monte-Karlo”, Sibirskii matem. zhurn., 35:5 (1994), 1085–1093 | MR | Zbl

[69] Mikhailov G. A., “Novyi metod Monte-Karlo dlya vychisleniya kovariatsionnoi funktsii resheniya obschego bigarmonicheskogo uravneniya”, Dokl. RAN, 338:5 (1997), 601–603 (with D. V. Tolstolytkinym)

[70] Mikhailov G. A., “K teorii otsenok metoda Monte-Karlo, svyazannykh s “bluzhdaniem po sferam””, Sibirskii matem. zhurn., 36:3 (1995), 543–550 (with B. C. Elepovym) | MR | Zbl

[71] Mikhailov G. A., “Metody Monte-Karlo dlya resheniya vektornykh i stokhasticheskikh uravnenii Gelmgoltsa”, Sibirskii matem. zhurn., 36:3 (1995), 602–610 | MR

[72] Mikhailov G. A., “Otsenki neravnomernosti raspredelenii kongruentnykh summ sluchainykh velichin”, Dokl. RAN, 347:1 (1996), 23–26 (with M. V. Antipovym) | MR | Zbl

[73] Mikhailov G. A., Ob uluchshenii generatorov sluchainykh chisel s pomoschyu summirovaniya po modulyu edinitsa, Prepr. No 1059, VTs SO RAN, 1996 (with M. B. Antipovym)

[74] Mikhailov G. A., “Reshenie kraevykh zadach metodom “bluzhdaniya po sferam” s otrazheniem ot granitsy”, Dokl. RAN, 359:6 (1997), 720–722 (with R. N. Makarovym)

[75] Mikhailov G. A., “Reshenie kraevykh zadach vtorogo i tretego roda metodom Monte-Karlo”, Sibirskii matem. zhurn., 38:3 (1997), 603–614 (with R. N. Makarovym) | Zbl

[76] Mikhailov G. A., “Novyi podkhod k postroeniyu i obosnovaniyu “otsenok po probegu” v metode Monte-Karlo”, Dokl. RAN, 358:1 (1998), 22–25 | MR

[77] Mikhailov G. A., “Otsenki veroyatnostnykh momentov kriticheskikh znachenii parametrov uravneniya perenosa chastits v statisticheskoi srede”, Dokl. RAN, 356:2 (1997), 166–169 (with G. Z. Lotovoi) | MR | Zbl

[78] Mikhailov G. A., “Reshenie raznostnoi zadachi Dirikhle dlya mnogomernogo uravneniya Gelmgoltsa metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 38:1 (1998), 99–106 (with A. F. Cheshkovoi) | MR

[79] Mikhailov G. A., “Novye vesovye “otsenki po probegu” v metode Monte-Karlo”, Sibirskii matem. zhurn., 39:2 (1998), 396–404 | MR

[80] Mikhailov G. A., “Otsenki sobstvennykh chisel operatora $\Delta+c(r)$ putem vychisleniya parametricheskikh proizvodnykh metodom Monte-Karlo”, Dokl. RAN, 362:5 (1998), 598–601 (with R. N. Makarovym) | MR

[81] Mikhailov G. A., “Reshenie statsionarnogo diffuzionnogo uravneniya metodom Monte-Karlo s vychisleniem proizvodnykh”, Dokl. RAN, 372:6 (2000), 736–739 (with A. B. Burmistrovym) | MR | Zbl

[82] Mikhailov G. A., “Parametricheskoe differentsirovanie i otsenki sobstvennykh chisel metodom Monte-Karlo”, Sibirskii matem. zhurn., 39:4 (1998), 931–941 (with R. N. Makarovym) | MR

[83] Mikhailov G. A., “Reshenie uravneniya Gelmgoltsa s kompleksnym parametrom i realizatsiya preobrazovaniya Fure metodom Monte-Karlo”, Dokl. RAN, 349:1 (1996), 17–19 (with P. V. Menshikovym) | MR | Zbl

[84] Mikhailov G. A., “Novyi metod Monte-Karlo dlya resheniya statsionarnogo diffuzionnogo uravneniya”, Sibirskii matem. zhurn., 41:5 (2000), 1098–1105 (with A. B. Burmistrovym) | MR

[85] Mikhailov G. A., Vesovye metody Monte-Karlo, Izd-vo SO RAN, Novosibirsk, 2000, 247 pp. | MR

[86] Mikhailov G. A., “Ispolzovanie vyborki po vazhnosti pri reshenii uravnenii”, Dokl. RAN, 380:2 (2001), 164–167 (with M. A. Marchenko) | MR | Zbl

[87] Mikhailov G. A., “Novye metody Monte-Karlo dlya otsenki vremennykh zavisimostei v protsesse perenosa izlucheniya”, Zh. vychisl. matem. i matem. fiz., 42:4 (2002), 569–579 (with G. Z. Lotovoi) | MR | Zbl

[88] Mikhailov G. A., “Vesovye algoritmy statisticheskogo modelirovaniya diffuzionnykh protsessov”, Zh. vychisl. matem. i matem. fiz., 43:4 (2003), 571–584 (with M. A. Marchenko) | MR | Zbl

[89] Mikhailov G. A., “Vesovye metody Monte-Karlo dlya priblizhennogo resheniya nelineinogo uravneniya Boltsmana”, Sibirskii matem. zhurn., 43:3 (2002), 620–628 (with S. V. Rogazinskim) | MR

[90] Mikhailov G. A., “Stokhasticheskoe modelirovanie i metod Monte-Karlo”, Sovrem. probl. vychisl. matem. i matem. modelirovaniya, v. 1, Vychisl. matem., IVM RAN, M., 2005, 149–219 (with B. A. Karginym, S. M. Prigarinym, B. C. Antyufeevym, V. A. Ogorodnikovym, K. K. Sabelfeldom, S. S. Artemevym, A. B. Vaitishekom)