On the 80th birthday of Il'ya Meierovich Sobol

M. K. Kerimov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1115-1122

Bibliographie

[1] “Ob asimptoticheskom povedenii reshenii lineinykh differentsialnykh uravnenii”, Dokl. AN SSSR, 61:2 (1948), 219–222 | Zbl

[2] “Ob uravneniyakh Rikkati i privodimykh k nim lineinykh uravneniyakh vtorogo poryadka”, Dokl. AN SSSR, 65:3 (1949), 275–278 | Zbl

[3] “Issledovanie asimptoticheskogo povedeniya reshenii lineinykh differentsialnykh uravnenii vtorogo poryadka pri pomoschi polyarnykh koordinat”, Matem. sb., 28:3 (1951), 707–714 | Zbl

[4] O povedenii reshenii lineinogo differentsialnogo uravneniya vtorogo poryadka, Uspekhi matem. nauk, 6:2 (1951), 149–151

[5] “Granichnoe reshenie uravneniya Rikkati i ego primenenie k issledovaniyu reshenii lineinogo differentsialnogo uravneniya vtorogo poryadka”, Uch. zap. MGU, 5:155 (1952), 195–205

[6] “Polozhitelnye resheniya lineinykh differentsialnykh uravnenii s zapazdyvaniem”, Uch. zap. MGU, 8:181 (1956), 45–56

[7] “Ob odnom iteratsionnom metode rascheta sobstvennykh znachenii”, Uspekhi matem. nauk, 12:3 (1957), 377–380 | MR | Zbl

[8] Mnogomernye integraly i metod Monte-Karlo, Dokl. AN SSSR, 114:4 (1957), 706–709

[9] “Psevdosluchainye chisla dlya mashiny “Strela””, Teoriya veroyatnostei i ee primeneniya, 3:2 (1958), 205–211 | MR | Zbl

[10] “Raschet naimenshego kharakteristicheskogo chisla uravneniya Paierlsa metodom Monte-Karlo”, Vychisl. matem., no. 3, Izd-vo AN SSSR, M., 1958, 130–137 (with B. C. Vladimirovym)

[11] “O vozdeistvii vneshnei sily na avtogenerator”, Radiotekhn. i elektronika, 4:10 (1959), 1739–1741

[12] Primenenie razlozhenii po funktsiyam Khaara k issledovaniyu setok integrirovaniya, Dis. $\dots$ kand. fiz.-matem. nauk, MIAN SSSR, M., 1959

[13] “Funktsii mnogikh peremennykh bystro skhodyaschimisya ryadami Khaara”, Dokl. AN SSSR, 132:4 (1960), 773–776 | Zbl

[14] “Tochnaya otsenka pogreshnosti mnogomernykh kvadraturnykh formul dlya funktsii klassa $S_p$”, Dokl. AN SSSR, 132:5 (1960), 1041–1044 | Zbl

[15] “O reshenii integralnogo uravneniya Paierlsa metodom Monte-Karlo”, Teoriya veroyatnostei i ee primeneniya, 5:3 (1960), 361–366 | Zbl

[16] “Tochnaya otsenka pogreshnosti mnogomernykh kvadraturnykh formul dlya funktsii klassov $\widetilde W_1$ i $\widetilde H_1$”, Zh. vychisl. matem. i matem. fiz., 1:2 (1961), 208–216 | Zbl

[17] “O vychislenii mnogomernykh integralov”, Dokl. AN SSSR, 139:4 (1961), 821–823 | MR | Zbl

[18] “O vychislenii beskonechnomernykh integralov”, Zh. vychisl. matem. i matem. fiz., 1:5 (1961), 917–922 | Zbl

[19] “Primenenie raspredeleniya $\omega$ dlya otsenki pogreshnosti pri vychislenii integralov metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 2:4 (1962), 717–723 | Zbl

[20] Metod statisticheskikh ispytanii (metod Monte-Karlo), Fizmatgiz, M., 1962 (with N. P. Buslenko, D. N. Golenko, V. G. Sragovichem, Yu. A. Shreiderom) | MR

[21] “O primenenii ryadov Khaara v teorii kvadraturnykh formul”, Vopr. vychisl. matem. i vychisl. fiz., M., 1963, 31–35

[22] “Primery chislennogo rascheta temperaturnykh voln”, Zh. vychisl. matem. i matem. fiz., 3:4 (1963), 702–719 (with A. A. Samarskim)

[23] “O periodakh psevdosluchainykh posledovatelnostei”, Teoriya veroyatnostei i ee primeneniya, 9:2 (1964), 367–373 | Zbl

[24] “O raspredelenii tochek v kube i setkakh integrirovaniya”, Uspekhi matem. nauk, 21:5 (1966), 271–272 | MR

[25] “Ob odnom integrale, vstrechayuschemsya v teorii kvadraturnykh formul”, Zh. vychisl. matem. i matem. fiz., 6:6 (1966), 1084–1089

[26] “Primenenie ryadov Khaara dlya otsenki pogreshnosti pri vychislenii beskonechnomernykh integralov”, Dokl. AN SSSR, 175:1 (1967), 34–37 | Zbl

[27] “O raspredelenii tochek v kube i priblizhennom vychislenii integralov”, Zh. vychisl. matem. i matem. fiz., 7:4 (1967), 784–802 | Zbl

[28] “Metod Monte-Karlo dlya rascheta kritichnosti v mnogogruppovom priblizhenii”, Metod Monte-Karlo v probleme perenosa izluchenii, Atomizdat, M., 1967, 232–254

[29] Deterministicheskaya interpretatsiya kriteriev soglasiya i proverka psevdosluchainykh chisel, Preprint, IPM AN SSSR, M., 1968

[30] Metod Monte-Karlo, Nauka, M., 1968 | MR

[31] “O raschete dvizheniya zaryazhennykh chastits v plazme metodom Monte-Karlo”, Metody Monte-Karlo i ikh primenenie, Tr. II Vses. soveschaniya, Tbilisi, 1969, 180–183

[32] “Tri zamechaniya o proverke psevdosluchainykh chisel”, Metody Monte-Karlo i ikh primenenie, Tr. II Vses. soveschaniya, Tbilisi, 1969, 183–186

[33] Mnogomernye kvadraturnye formuly i funktsii Khaara, Nauka, M., 1969 | MR

[34] “Ob odnom podkhode k vychisleniyu mnogomernykh integralov”, Vopr. vychisl. i prikl. matem., 38, Tashkent, 1970, 100–112

[35] “Ob odnom metode poiska optimalnykh parametrov kolebatelnoi sistemy”, Mashinovedenie, 1971, no. 1, 18–22 (with V. K. Grinkevichem, R. B. Statnikovym)

[36] “Ob ispolzovanii poverkhnostei postoyannoi plotnosti pri modelirovanii mnogomernykh sluchainykh velichin”, Zh. vychisl. matem. i matem. fiz., 11:3 (1971), 789–791 (with V. A. Germanom)

[37] “O razmernosti algoritmov Monte-Karlo”, Metody Monte-Karlo i ikh primenenie, Tezisy III Vses. konf., Novosibirsk, 1971, 138–140

[38] “Optimizatsiya v teorii mashin LP-poiskom”, Dokl. AN SSSR, 200:6 (1971), 1287–1290 (with I. I. Artobolevskim i dr.)

[39] “LP-poisk i zadachi optimalnogo konstruirovaniya”, Probl. sluchainogo poiska, Riga, 1971 (with R. B. Statnikovym)

[40] “Opredelenie optimalnykh dinamicheskikh modelei v prostranstve parametrov”, Izv. AN SSSR. Mekhan. tverdogo tela, 1971, no. 4, 51–54 (with V. K. Grinkevichem, R. B. Statnikovym)

[41] “Veroyatnostnaya otsenka pogreshnosti dlya nesluchainykh setok integrirovaniya”, Vopr. vychisl. i prikl. matem., 14, Tashkent, 1972, 5–11

[42] “Zadacha o svyazi dispersii s normami”, Vopr. vychisl. i prikl. matem., 14, Tashkent, 1972, 12–14

[43] Metod ryadov Khaara v teorii kvadraturnykh formul, Dis. $\dots$ dokt. fiz.-matem. nauk, In-t matem. SO AN SSSR, Novosibirsk, 1972

[44] “Deterministicheskaya interpretatsiya kriteriev soglasiya i proverka psevdosluchainykh chisel”, Issl. operatsii i statistich. modelirovanie, 1, L., 1972, 162–170 | Zbl

[45] “Vychislenie nesobstvennykh integralov pri pomoschi ravnomerno raspredelennykh posledovatelnostei”, Dokl. AN SSSR, 210:2 (1973), 734–738 | Zbl

[46] “Veroyatnostnaya otsenka pogreshnosti integrirovaniya dlya $\Pi_\tau$-setok”, Zh. vychisl. matem. i matem. fiz., 13:4 (1973), 1035–1037 | Zbl

[47] “Ispytanie LP-poiska na nekotorykh testovykh funktsiyakh”, Probl. sluchainogo poiska. Riga, 1973, no. 2, 213–217 (with R. B. Statnikovym)

[48] “O lokalizatsii kharakteristicheskikh chisel matritsy”, Zh. vychisl. matem. i matem. fiz., 13:6 (1973), 1581–1583 (with R. B. Statnikovym, N. F. Ovchinnikovoi)

[49] Chislennye metody Monte-Karlo, Nauka, M., 1973 | MR

[50] “Ispolzovanie ravnomerno raspredelennykh posledovatelnostei dlya priblizhennykh vychislenii nesobstvennykh integralov”, Teoriya kubaturnykh f-l i prilozh. funkts. analiza, Novosibirsk, 1973, 62–66

[51] “O psevdosluchainykh chislakh dlya postroeniya diskretnykh tsepei Markova metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 14:1 (1974), 36–44 | Zbl

[52] “Beskonechnomernye ravnomerno raspredelennye posledovatelnosti v algoritmakh Monte-Karlo”, Metody Monte-Karlo v vychisl. matem. i matem. fiz., Novosibirsk, 1974, 24–31

[53] Beskonechnomernye ravnomerno raspredelennye posledovatelnosti v vychislitelnoi matematike, Preprint No 22, IPM AN SSSR, M., 1974

[54] “O skhodimosti beskonechnomernykh kubatur i modelirovanii tsepei Markova”, Vopr. vychisl. i prikl. matem., v. 2, M., 1975, 162–167

[55] “Mnogokratnoe komptonovskoe rasseyanie na relyativistskikh elektronakh. Raschety spektra izlucheniya metodom Monte-Karlo”, Pisma v Astron. zhurn., 2:3 (1976), 140–146 (with P. A. Syunyaevym, L. A. Pozdnyakovym)

[56] Poluchenie tochek, ravnomerno raspolozhennykh v mnogomernom kube, Preprint No 40, IPM AN SSSR, M., 1976 (with Yu. L. Levitanom)

[57] “Vychislenie mnogomernykh integralov pri pomoschi posledovatelnostei”, Matem. modeli teorii elektricheskikh tsepei, 14, Kiev, 1974 (with I. N. Statnikovym)

[58] “O konstruktivnoi razmernosti algoritmov Monte-Karlo”, Metody Monte-Karlo v vychisl. matem. i matem. fiz., Novosibirsk, 1976, 16–24 (with S. G. Rozinym, L. Kh. Khomskim)

[59] “O modelirovanii nekotorykh raspredelenii, skhodnykh s gamma-raspredeleniem”, Metody Monte-Karlo v vychisl. matem. i matem. fiz., Novosibirsk, 1976, 24–29

[60] “Ravnomerno raspredelennye posledovatelnosti s dopolnitelnym svoistvom ravnomernosti”, Zh. vychisl. matem. i matem. fiz., 16:5 (1976), 1332–1337 | MR | Zbl

[61] “O nailuchshikh ravnomerno raspredelennykh posledovatelnostyakh”, Uspekhi matem. nauk, 32:2 (1977), 231–232 | MR

[62] Postanovka nekotorykh zadach optimalnogo proektirovaniya pri pomoschi EVM, Preprint No 24, IPM AN SSSR, M., 1977 (with R. B. Statnikovym) | MR

[63] “Ob ispolzovanii EVM pri postanovke zadach optimalnogo proektirovaniya mashin”, Dokl. AN SSSR, 233:4 (1977), 567–570 (with I. I. Artobolevskim i dr.) | MR

[64] “Vliyanie mnogokratnykh komptonovskikh rasseyanii na spektr rentgenovskogo izlucheniya. Raschety metodom Monte-Karlo”, Astron. zhurnal, 54:6 (1977), 1246–1258 (with L. A. Pozdnyakovym, P. A. Syunyaevym)

[65] “Modelirovanie komptonovskogo rasseyaniya na relyativistskikh elektronakh metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 18:4 (1978), 1032–1037

[66] “Eksperimenty po vychisleniyu integralov vysokoi kratnosti”, Vopr. vychisl. i prikl. matem., 51, 1978, 138–145 (with Yu. L. Levitanom)

[67] “O vesovykh kvadraturnykh formulakh”, Sibirskii matem. zhurnal, 19:5 (1978), 1196–1200 | MR | Zbl

[68] “Ob ispolzovanii podobnykh traektorii v raschetakh metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 19:1 (1979), 238–242 (with Yu. A. Petrovym) | MR

[69] “The profile evolution of X-ray spectral lines due to comptonization Monte Carlo computations”, Astron. Astrophys., 1979, no. 75, 214–222 (with L. A. Pozdnyakov, R. A. Sunyaev)

[70] “Komptonizatsiya i spektry izlucheniya rentgenovskikh istochnikov. Raschety metodom Monte-Karlo”, Pisma v Astron. zhurnal, 5:6 (1979), 279–284 (with L. A. Pozdnyakovym, P. A. Syunyaevym)

[71] “Gipergeometricheskie funktsii i obyknovennye lineinye differentsialnye uravneniya s eksponentsialnymi koeffitsientami”, Differents. ur-niya, 15:7 (1979), 1212–1215 (with G. P. Sobol) | MR | Zbl

[72] “Computer aided statement of engineering optimum design problems”, Tr. V mezhdunar. kongressa po TMM, v. 2, Monreal, 1979, 871–874 (with V. I. Sergeevym, R. B. Statnikovym)

[73] “On the systematic search in a hypercube”, SIAM J. Numer Analys., 16:5 (1979), 790–793 | DOI | MR | Zbl

[74] “O primenenii statisticheskikh vesov v raschetakh metodom Monte-Karlo”, Vopr. kibernetiki, 54, M., 1979, 48–93

[75] “Optimalnoe proektirovanie rezonansnykh vibromashin”, Mashinovedenie, 5 (1980), 31–39 (with B. I. Kryukovym i dr.)

[76] “Modelirovanie spektrov relyativistskikh elektronov metodom Monte-Karlo”, Vopr. kibernetiki, 82, M., 1981, 39–45

[77] “Postroenie informativno dopustimogo i paretovskogo mnozhestva reshenii i opredelenie vzaimosvyazi kriteriev kachestva v zadachakh proektirovaniya mekhanizmov i mashin”, Mashinovedenie, 1981, no. 5, 12–20 (with P. I. Zinyukovym, I. B. Matusovym, R. B. Statnikovym, S. I. Fridmanom)

[78] Vybor optimalnykh parametrov v zadachakh so mnogimi kriteriyami, Nauka, M., 1981 (with R. B. Statnikovym) | MR

[79] “Komptonizatsiya i formirovanie spektrov rentgenovskikh istochnikov. Metodika raschetov metodom Monte-Karlo”, Astronomiya. Itogi nauki i tekhn., 21, VINITI, M., 1982, 238–305 (with L. A. Pozdnyakovym, P. A. Syunyaevym)

[80] Nailuchshie resheniya – gde ikh iskat, Znanie, M., 1982 (with R. B. Statnikovym) | MR

[81] “Spektr neitrinnogo izlucheniya kollapsiruyuschikh vyrozhdennykh yader zvezd. Raschety metodom Monte-Karlo”, Astron. zhurnal, 59:2 (1982), 334–345 (with Yu. L. Levitanom, M. Yu. Khlopovym, V. M. Chechetkinym)

[82] “Ob otsenke tochnosti prosteishego mnogomernogo poiska”, Dokl. AN SSSR, 266:3 (1982), 569–572 | MR | Zbl

[83] Tochki, ravnomerno zapolnyayuschie mnogomernyi kub, Znanie, M., 1985 | MR

[84] Mnogokriterialnaya interpretatsiya metoda regulyarizatsii nekorrektnykh zadach, Preprint No 59, IPM AN SSSR, M., 1985

[85] “Modelirovanie odnogo klassa plotnostei”, Zh. vychisl. matem. i matem. fiz., 25:4 (1985), 627–631 | MR | Zbl

[86] “Modelirovanie izlucheniya rentgenovskogo pulsara metodom Monte-Karlo”, VII Vses. soveschanie. “Metody Monte-Karlo v vychisl. matem. i matem. fiz.”, Novosibirsk, 1985, 285–289 (with S. A. Grebenevym, P. A. Syunyaevym)

[87] “O mnogokriterialnoi optimizatsii reaktornoi reshetki na osnove montekarlovskikh raschetov”, VII Vses. soveschanie. “Metody Monte-Karlo v vychisl. matem. i matem. fiz.”, Novosibirsk, 1985, 230–234 (with S. G. Rozinym, I. E. Rubinym)

[88] Metod Monte-Karlo, Izd. 4-e, pererab. i dop., Nauka, M., 1985 | MR

[89] “Obosnovanie matematicheskoi modeli – osnovnaya problema zadach optimalnogo proektirovaniya”, Probl. i metody prinyatiya reshenii v organizovannykh sistemakh upravleniya, VNIISI, M., 1985, 13–23 (with I. B. Matusovym, M. D. Perminovym, S. I. Rymalovoi, R. B. Statnikovym)

[90] “Multicriterial problems in machine design”, Mnogokriterialnye zadachi matem. programmirovaniya, VNIISI, M., 1985, 39–45 (with R. B. Statnikovym)

[91] “Modelirovanie shirokikh kvazistepennykh spektrov metodom Monte-Karlo”, Metody vychisl. fiz. i ikh prilozh., Energoatomizdat, M., 1986, 60–63 (with O. V. Valkovoi)

[92] “Mnogokriterialnaya interpretatsiya metoda regulyarizatsii nekorrektnykh zadach”, Zh. vychisl. matem. i matem. fiz., 26:6 (1986), 805–812 | MR | Zbl

[93] “Komptonizatsiya i formirovanie spektrov rentgenovskikh istochnikov. Ch. 2”, Astronomiya. Itogi nauki i tekhn., 31, VINITI, M., 1986, 267–329 (with L. A. Pozdnyakovym, P. A. Syunyaevym)

[94] “O funktsiyakh, udovletvoryayuschikh usloviyam Lipshitsa, v mnogomernykh zadachakh vychislitelnoi matematiki”, Dokl. AN SSSR, 293:6 (1987), 1314–1319 | MR | Zbl

[95] “Otsenka metodom Monte-Karlo integralov, vstrechayuschikhsya v nelineinoi teorii gravitatsionnoi neustoichivosti”, Zh. vychisl. matem. i matem. fiz., 27:10 (1987), 1577–1580 (with A. G. Doroshkevich) | Zbl

[96] “Obrazovanie legkikh elementov kaskadami ot energichnykh antiprotonov v rannei vselennoi i zadachi yadernoi kosmoarkheologii”, Yadernaya fiz., 87:1 (1988), 168–178 (with Yu. L. Levitanom, M. Yu. Khlopovym, V. M. Chechetkinym)

[97] “O poiske ekstremalnykh znachenii funktsii ot neskolkikh peremennykh, udovletvoryayuschikh obschemu usloviyu Lipshitsa”, Zh. vychisl. matem. i matem. fiz., 28:4 (1988), 483–491

[98] “O kvazisluchainykh posledovatelnostyakh dlya chislennykh raschetov”, Zh. vychisl. matem. i matem. fiz., 28:5 (1988), 755–759 (with Yu. L. Levitanom, N. I. Markovichem, S. G. Rozinym)

[99] “Comptonization of radiation in a cloud of relativistic electrons having a power-law energy distribution”, Advance Space Res., 8:2–3 (1988), 577–578

[100] “Ob odnom podkhode k resheniyu mnogokriterialnykh reaktornykh zadach”, VANT. Ser. fiz. i tekhn. yadernykh reaktorov, 1988, no. 3, 14–21 (with O. Yu. Vtorovoi, L. Ya. Isakovoi, M. P. Matekinym)

[101] “O kvadraturnykh formulakh dlya funktsii ot neskolkikh peremennykh, udovletvoryayuschikh obschemu usloviyu Lipshitsa”, Zh. vychisl. matem. i matem. fiz., 29:6 (1989), 935–941 | Zbl

[102] “Proektirovanie tekhnicheskikh sistem s uchetom mnogikh kriteriev kachestva”, Matem. obrabotka i interpretatsiya rezultatov fiz. eksperimentov, Energoatomizdat, M., 1989, 63–71

[103] “Paket prikladnykh programm KRIT dlya resheniya mnogokriterialnykh zadach optimalnogo proektirovaniya ob'ektov mashinostroeniya”, Pakety prikl. programm: Opyt ispolzovaniya, M., 1989 (with A. A. Gorbunovym-Posadovym, A. B. Ermakovym, V. Ya. Karpovym, M. P. Matekinym)

[104] “Ob otsenke chuvstvitelnosti nelineinykh matematicheskikh modelei”, Matem. modelirovanie, 2:1 (1990), 112–118 | MR

[105] “O datchike psevdosluchainykh chisel dlya personalnykh kompyuterov”, Matem. modelirovanie, 2:8 (1990), 119–126 (with Yu. L. Levitanom) | MR

[106] “Zadachi s neskolkimi kriteriyami i nekorrektnye zadachi”, Novye napravleniya v sistemakh podderzhki prinyatiya reshenii, VNIISI, M., 1988, 15–20

[107] “Quasi-Monte Carlo methods”, Progr. Nucl. Energy, 24:1–3 (1990), 55–61

[108] “On multicriterial optimization in reactor problems using Monte Carlo calculations”, Progr. Nucl. Energy. Budapest, 24:1–3 (1990), 231–236 (with S. G. Rozin, I. E. Rubin)

[109] “Asimmetricheskaya skhodimost priblizhenii metoda Monte-Karlo”, Metody Monte-Karlo v vychisl. matem. i matem. fiz., Novosibirsk, 1991, 24–32

[110] “Quasi-Monte Carlo methods”, Monte Carlo Methods and Parallel Algorithms, World Sci. Publ., 1991, 75–81 | MR

[111] “Problems with multiple objectives and ill-posed problems”, Lect. Not. Econom. Math. System., 351, 1991, 101–107 | MR | Zbl

[112] “A new measure of irregularity of distribution”, J. Number Theory, 39:3 (1991), 367–373 (with O. V. Nuzhdin) | DOI | MR | Zbl

[113] “A global search for multicriterial problems. Multiple criteria decision making”, Proc. 9-th Internat. Conf. Washington, 1992, 401–412

[114] Quasirandom sequence generators, Keldysh Inst. Appl. Math., M., 1992 (with V. I. Turchaninov, Yu. L. Levitan, B. V. Shukhman)

[115] “An efficient approach to multicriteria optimum design problems”, Surv. Math. Industry, 1:4 (1992), 259–281 | MR | Zbl

[116] “On stochastic modelling of error distribution in a crude global search”, Stochastic Optimizat. and Design, 1:1 (1992), 73–84 (with Yu. L. Levitan)

[117] “An efficient approach to multicriterial optimization”, Supercomput. Math. Meth. Nucl. Appl., Proc. Conf. Karlsruhe, v. 1, 1993

[118] “On computational experiments in uniform disrtribution”, Osterr. Akad. Wiss. Sitzungsber. math.-nat. Klasse, 1993, 161–167 (with B. V. Shukhman) | MR

[119] “Asimmetrichnaya skhodimost priblizhenii metoda Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 33:10 (1993), 1581–1587 | MR

[120] “Random and quasi-random sequences numerical estimates of uniformity of distribution”, Math. Comput. Model., 8:8 (1993), 39–45 (with B. V. Shukhman)

[121] “O mnogokriterialnoi optimizatsii matematicheskikh modelei”, Matem. modelirovanie, 6:6 (1994), 85–93 (with C. B. Kartyshovym, I. A. Kulchitskoi, Yu. L. Levitanom) | MR

[122] A primer for the Monte Carlo Method, CRC Press, USA, 1994 | MR

[123] “An efficient approach to multi criterial optimization in scientific and industrial problems”, Phys. Computing 94, Proc. Internat. Conf. Lugano, 1994

[124] “On the crude multidimensional search”, J. Comput. Appl. Maths., 56:3 (1995), 283–293 (with S. G. Bakin) | MR

[125] “Analiz chuvstvitelnosti nelineinykh matematicheskikh modelei: chislennye opyty”, Matem. modelirovanie, 7:11 (1995), 16–28 (with A. Saltelli) | MR | Zbl

[126] “About the use of rank transformation in sensitivity analvsis of model output”, Reliability Engine and System Safety, 50:3 (1995), 225–239 (with A. Saltelli) | DOI

[127] “Integration with quasi-random sequences: numerical experience”, Internat. J. Modern Phys. C, 6:2 (1995), 263–275 (with B. V. Shukhman) | DOI | MR | Zbl

[128] “Sensitivity analysis of nonlinear models usinez sensitivity indices”, Proc. SAMO'95, European Community, Luxembourg, 1996, 37–39

[129] “On an alternative global sensitivity estimator”, Proc. SAMO'95, European Community, Luxembourg, 1996, 40–42 (with A. L. Gershman)

[130] “Quasi-Monte Carlo methods for numerical integration: comparison of different low discrepancy sequences”, Monte Carlo Meth. Appl., 2:1 (1996), 1–14 (with I. Radović, R. F. Tichy) | DOI | MR | Zbl

[131] “A variance reducing multiplier for Monte Carlo integrations”, Math. Comput. Modeling, 23:8/9 (1996), 87–96 (with A. V. Tutunnikov) | DOI | MR | Zbl

[132] “O “zamorazhivanii” nesuschestvennykh peremennykh”, Vestn. MGU. Ser. 1, 1996, no. 6, 92–94

[133] “Error estimates for the crude approximation of the trade-off curve”, MCDM (Hagen, 1995), Lect. Notes. Econ. Math. Systems, 448, 1997, 83–92 (with Yu. L. Levitan) | MR | Zbl

[134] “Sensitivity measures, ANOVA-LIKE techniques and the use of bootstrap”, J. Statist. Comput. Simul., 58 (1997), 99–120 (with G. E. B. Archer, A. Saltelli) | DOI | Zbl

[135] “On quasi-Monte Carlo integrations”, Maths. Comput. Simul., 47:2–5 (1998), 103–112 | MR

[136] “A pseudo-random number generator for personal computers”, Comput. Math. Appl., 37 (1999), 33–40 (with Yu. L. Levitan) | DOI | MR | Zbl

[137] “On the use of variance reducing multipliers in Monte Carlo computations of a global sensitivity index”, Comput. Phys. Commun., 117:2 (1999), 52–61 (with Yu. L. Levitan) | DOI | Zbl

[138] “On the distribution of random ranges”, Monte Carlo Meth. Appl., 5:2 (1999), 113–134 (with B. V. Shukhman, A. Guinzbourg) | DOI | MR | Zbl

[139] “O dvumernykh proektsiyakh $\text{L}\Pi_\tau$-posledovatelnostei”, Kubaturnye f-ly i ikh prilozh., V Mezhdunar. seminar-sovesch. (13–18 sentyabrya 1999 g.), Krasnoyarsk, 2000 (with E. E. Myshetskoi)

[140] “Variance based methods”, Sensitiv. Analys., Wiley Ser. Probab. Stat., J. Wiley, 2000, 167–197 (with A. Saltelli, S. Tarantola, R. Chan) | MR

[141] “Global sensitivity indices and their Monte Carlo estimates”, Math. Comput. Simulation, 55 (2001), 271–280 | DOI | MR | Zbl

[142] “Theorems and examples on high dimensional model representation”, Proc. SAMO-2001, Madrid, 2001, 13–16

[143] “Chislennye eksperimenty po otsenke mnogomernykh integralov metodom kvazi-Monte-Karlo”, Kubaturnye f-ly i ikh prilozh., Ufa, 2001 (with D. I. Asotskim)

[144] “O mnozhitelyakh, umenshayuschikh dispersiyu, pri vychislenii integralov metodom Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 41:9 (2001), 1310–1314 (with N. B. Gorbachevoi, A. I. Trikuzovym) | MR

[145] “Convergence estimates for crude approximations of a Pareto set”, Comput. Math. Appl., 44 (2002), 877–886 (with E. E. Myshetskaya) | DOI | MR | Zbl

[146] “Reindzh – kolichestvennaya mera neravnomernosti raspredeleniya”, Matem. modelirovanie, 14:6 (2002), 119–127 | MR | Zbl

[147] “Primery skhodimosti diskretnykh priblizhenii k mnogomernomu mnozhestvu Pareto”, Matem. modelirovanie, 14:12 (2002), 48–54 (with E. E. Myshetskoi) | MR

[148] “Theorems and examples on high dimensional model representations”, Reliability Ending and System Safety, 79:1 (2002), 187–193

[149] “One more experiment on estimating high-dimensional integrals by quasi-Monte Carlo methods”, Math. Comput. Simul., 62:3–6 (2003), 255–263 (with D. I. Asotsky) | MR | Zbl

[150] “Modelling correlated random variables”, Monte Carlo Meth. Appl., 9:1 (2003), 67–76 (with E. E. Myshetskaya) | DOI | MR | Zbl

[151] “Pogreshnost mnogomernoi kvadraturnoi formuly kak model smescheniya v metode bootstrap”, Kubaturnye f-ly i ikh prilozh., VII Mezhdunar. seminar-sovesch. (18–23 avgusta 2003 g.), KGTU, Krasnoyarsk, 2003, 154–161 (with E. E. Myshetskoi)

[152] “Pogreshnost mnogomernoi kvadraturnoi formuly kak model smescheniya v metode bootstrap”, Vychisl. tekhnologii, 9, Spets. vyp., Krasnoyarsk, 2004, 125–132 (with E. E. Myshetskoi)

[153] “Ob ispolzovanii kvazi-Monte-Karlo v otsenkakh bootstrap”, Matem. modelirovanie, 16:2 (2004), 118–122 (with E. E. Myshetskoi)

[154] “On global sensitivity analysis of quasi-Monte Carlo algorithms”, Monte Carlo Meth. Appl., 11:1 (2005), 83–92 (with S. S. Kucherenko) | MR | Zbl

[155] “Globalnye pokazateli chuvstvitelnosti dlya izucheniya nelineinykh matematicheskikh modelei”, Matem. modelirovanie, 17:9 (2005), 43–52 | MR | Zbl

[156] “O posledovatelnostyakh tochek dlya otsenki nesobstvennykh integralov metodami kvazi-Monte-Karlo”, Zh. vychisl. matem. i matem. fiz., 45:3 (2005), 411–415 (with D. I. Asotskim) | MR

[157] “Global sensitivity indices for nonlinear mathematical models. Review”, J. WILMOTT, 1 (2005), 56–61 (with S. S. Kucherenko)

[158] Vybor optimalnykh parametrov v zadachakh so mnogimi kriteriyami, Drofa, M., 2006 (with R. B. Statnikovym)

[159] “Srednyaya razmernost mnogomernoi funktsii dlya kvazi-Monte-Karlovskikh otsenok integrala”, Zh. vychisl. matem. i matem. fiz., 46:12 (2006), 2159–2165 (with D. I. Asotskim, E. E. Myshetskoi) | MR