Academician Nikolai Sergeevich Bakhvalov (on the occasion of his seventieth birthday)

M. K. Kerimov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 563-573

Bibliographie

[1] Bakhvalov N. S., “K otsenke oshibki pri chislennom integrirovanii differentsialnykh uravnenii ekstrapolyatsionnym metodom Adamsa”, Dokl. AN SSSR, 104:5 (1955), 683–686 | Zbl

[2] Bakhvalov N. S., “Nekotorye zamechaniya k voprosu o chislennom integrirovanii differentsialnykh uravnenii metodom konechnykh raznostei”, Dokl. AN SSSR, 104:6 (1955), 805–808 | Zbl

[3] Bakhvalov N. S., “Usloviya skhodimosti i poryadok oshibki pri reshenii zadachi Koshi dlya odnogo lineinogo uravneniya pervogo poryadka metodom konechnykh raznostei”, Prikl. matem. i mekhan., 20:2 (1956), 279–283

[4] Bakhvalov N. S., “K voprosu o chisle arifmeticheskikh deistvii pri reshenii uravneniya Puassona dlya kvadrata metodom konechnykh raznostei”, Dokl. AN SSSR, 113:2 (1957), 252–254 | Zbl

[5] Bakhvalov N. S., “Ob odnom sposobe priblizhennogo resheniya uravneniya Laplasa”, Dokl. AN SSSR, 114:3 (1957), 455–458 | MR | Zbl

[6] Bakhvalov N. S., “O sostavlenii uravnenii v konechnykh raznostyakh pri priblizhennom reshenii zadachi Dirikhle dlya uravneniya Laplasa”, Dokl. AN SSSR, 114:6 (1957), 1146–1148 | MR | Zbl

[7] Bakhvalov N. S., “O sostavlenii uravnenii v konechnykh raznostyakh pri priblizhennom reshenii zadachi Dirikhle dlya uravneniya Laplasa”, Uspekhi matem. nauk, 12:5 (1957), 259–260

[8] Bakhvalov N. S., O sostavlenii uravnenii v konechnykh raznostyakh pri priblizhennom reshenii zadachi Dirikhle dlya uravneniya Laplasa, Dis. ...kand. fiz.-matem. nauk, MGU, M., 1958

[9] Bakhvalov N. S., “O priblizhennom vychislenii kratnykh integralov”, Vestn. MGU. Ser. matem., astron., fiz., khimii, 1959, no. 4, 3–18 | MR

[10] Bakhvalov N. S., “O chislennom reshenii zadachi Dirikhle dlya uravneniya Laplasa”, Vestn. MGU. Ser. matem., astron., fiz., khimii, 1959, no. 5, 171–195

[11] Bakhvalov N. S., “Otsenka v srednem ostatochnogo chlena kvadraturnykh formul”, Zh. vychisl. matem. i matem. fiz., 1:1 (1961), 64–77 | Zbl

[12] Bakhvalov N. S., “Otsenka pogreshnosti chislennogo integrirovaniya kvazilineinogo uravneniya pervogo poryadka”, Zh. vychisl. matem. i matem. fiz., 1:5 (1961), 771–783 | Zbl

[13] Bakhvalov N. S., “Ob optimalnykh sposobakh zadaniya informatsii pri reshenii differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 2:4 (1962), 569–592 | Zbl

[14] Bakhvalov N. S., “O nakoplenii vychislitelnoi pogreshnosti pri chislennom reshenii differentsialnykh uravnenii”, Vychisl. metody i programmirovanie, 1, VTs MGU, M., 1962, 47–68

[15] Bakhvalov N. S., “Ob opredelenii nachalnogo shaga i otsenke glavnogo chlena pogreshnosti pri chislennom integrirovanii s avtomaticheskim vyborom shaga”, Vychisl. metody i programmirovanie, 1, VTs MGU, M., 1962, 69–79

[16] Bakhvalov N. S., “O skorosti skhodimosti nedeterminirovannykh kvadraturnykh protsessov na klassakh funktsii $W_p^{(l)}$”, Teoriya veroyatnostei i ee primeneniya, 7:2 (1962), 238

[17] Bakhvalov N. S., “O skorosti skhodimosti nedeterminirovannykh kvadraturnykh protsessov na funktsiyakh maloi gladkosti”, Teoriya veroyatnostei ee primeneniya, 7:4 (1962), 473–474

[18] Bakhvalov N. S., “Ob otsenke kolichestva vychislitelnoi raboty pri priblizhennom reshenii zadach”: S. K. Godunov, B. C. Ryabenkii, Vvedenie v teoriyu raznostnykh skhem, Nauka, M., 1962, 316–329

[19] Bakhvalov N. S., “Teoremy vlozheniya dlya klassov funktsii s neskolkimi ogranichennymi proizvodnymi”, Vestn. MGU. Ser. matem., astron., fiz., khimii, 1963, no. 3, 7–16 | Zbl

[20] Bakhvalov N. S., “Optimalnye svoistva formul chislennogo integrirovaniya Adamsa i Gregori”, Vopr. vychisl. matem. i vychisl. tekhn., Mashgiz, M., 1963, 9–26

[21] Bakhvalov N. S., “K voprosu o gipoteze nezavisimosti oshibok okrugleniya pri chislennom integrirovanii”, Zh. vychisl. matem. i matem. fiz., 4:3 (1964), 399–404 | Zbl

[22] Bakhvalov N. S., Ob optimalnykh otsenkakh skhodimosti kvadraturnykh protsessov i metodov integrirovaniya tipa Monte–Karlo na klassakh funktsii, Dis. ...dokt. fiz.-matem. nauk, MGU, M., 1964

[23] Bakhvalov N. S., “Primenenie teoretiko-chislovykh setok k zadacham priblizhennogo analiza”, Tr. IV Vses. matem. s'ezda (1961), v. 2, Nauka, M., 1964, 580–587 (with N. M. Korobovym, H. H. Chentsovym)

[24] Bakhvalov N. S., “Ob optimalnykh otsenkakh pogreshnosti integrirovaniya na klassakh funktsii”, Teoriya veroyatnostei i ee primeneniya, 9:2 (1964), 395–397 | Zbl

[25] Bakhvalov N. S., “O vychislenii kratnykh integralov s avtomaticheskim vyborom shaga”, Vychisl. metody i programmirovanie, 3, VTs MGU, M., 1965, 237–240

[26] Bakhvalov N. S., “Vsesoyuznaya konferentsiya po vychislitelnoi matematike”, Zh. vychisl. matem. i matem. fiz., 5:4 (1965), 779–780 (with A. N. Tikhonovym)

[27] Bakhvalov N. S., “Otsenki blizosti reshenii zadachi Koshi dlya nelineinykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 6:2 (1966), 229–237 | Zbl

[28] Bakhvalov N. S., “Ob algoritmakh vybora shaga integrirovaniya”, Vychisl. metody i programmirovanie, 5, VTs MGU, M., 1966, 3–8

[29] Bakhvalov N. S., “O reshenii kraevykh zadach dlya sistem obyknovennykh differentsialnykh uravnenii”, Vychisl. metody i programmirovanie, 5, VTs MGU, M., 1966, 9–16

[30] Bakhvalov N. S., “Ob asimptotike pri malykh $\varepsilon$ resheniya uravneniya $u_t+\phi_x=\varepsilon u_{xx}$ na tsentrirovannoi volne razrezheniya”, Zh. vychisl. matem. i matem. fiz., 6:3 (1966), 521–526

[31] Bakhvalov N. S., “O skhodimosti odnogo relaksatsionnogo metoda pri estestvennykh ogranicheniyakh na ellipticheskii operator”, Zh. vychisl. matem. i matem. fiz., 6:5 (1966), 861–883 | Zbl

[32] Bakhvalov N. S., “Ob optimalnoi skorosti integrirovaniya analiticheskikh funktsii”, Zh. vychisl. matem. i matem. fiz., 7:5 (1967), 1011–1020 | Zbl

[33] Bakhvalov N. S., “Ob asimptotike pri malykh $\varepsilon$ resheniya uravneniya $u_t+\phi_x=\varepsilon u_{xx}$, sootvetstvuyuschego volne razrezheniya, v sluchae vyrozhdeniya”, Zh. vychisl. matem. i matem. fiz., 7:6 (1967), 1229–1236 | Zbl

[34] Bakhvalov N. S., “O parabolicheskikh sistemakh s malym parametrom pri starshikh proizvodnykh”, Dokl. AN SSSR, 174:2 (1967), 263–266 | Zbl

[35] Bakhvalov N. S., “Vychislenie integralov ot ostsilliruyuschikh funktsii pri pomoschi interpolyatsii po uzlam kvadratur Gaussa”, Zh. vychisl. matem. i matem. fiz., 8:1 (1968), 175–181 (with L. G. Vasilevoi)

[36] Bakhvalov N. S., “Ob optimalnykh metodakh resheniya zadach”, Apl. Mat., 13:1 (1968), 27–38 | Zbl

[37] Bakhvalov N. S., “K optimizatsii metodov resheniya kraevykh zadach pri nalichii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 9:4 (1969), 841–859 | Zbl

[38] Bakhvalov N. S., “Issledovanie vozmozhnosti regulyarizatsii metoda Rittsa na primere polinomialnykh priblizhenii”, Matem. zametki, 7:4 (1970), 483–493 (with M. Shtrekho) | Zbl

[39] Bakhvalov N. S., “O svoistvakh optimalnykh metodov resheniya zadach matematicheskoi fiziki”, Zh. vychisl. matem. i matem. fiz., 10:3 (1970), 555–568 | MR | Zbl

[40] Bakhvalov N. S., “O suschestvovanii v tselom regulyarnogo resheniya kvazilineinoi giperbolicheskoi sistemy”, Zh. vychisl. matem. i matem. fiz., 10:4 (1970), 969–980 | Zbl

[41] Bakhvalov N. S., Osnovy vychislitelnoi matematiki, v. 1–4, MGU, M., 1966–1970, 250 pp.

[42] Bakhvalov N. S., Chislennye metody resheniya obyknovennykh differentsialnykh uravnenii, In-t kibernetiki AN USSR, Kiev, 1970, 120 pp.

[43] Bakhvalov N. S., “Issledovanie reshenii uravnenii dvizheniya snezhnykh lavin”, Materialy glyatsiologicheskikh issledovanii, 16, AN SSSR, M., 1970, 31–38 (with M. E. Eglit)

[44] Bakhvalov N. S., “Ob optimalnosti lineinykh metodov priblizheniya operatorov na vypuklykh klassakh funktsii”, Zh. vychisl. matem. i matem. fiz., 11:4 (1971), 1114–1118

[45] Bakhvalov N. S., “Ob optimizatsii metodov resheniya obyknovennykh differentsialnykh uravnenii s silno ostsilliruyuschimi resheniyami”, Zh. vychisl. matem. i matem. fiz., 11:5 (1971), 1319–1322

[46] Bakhvalov N. S., “Ob ustoichivom vychislenii znachenii mnogochlenov”, Zh. vychisl. matem. i matem. fiz., 11:6 (1971), 1568–1574 | Zbl

[47] Bakhvalov N. S., “Ob optimizatsii chislennykh metodov”, Tr. Mezhdunar. kongressa matem. (Nitstsa, 1970), Nauka, M., 1972, 27–33

[48] Bakhvalov N. S., “Otsenki snizu asimptoticheskikh kharakteristik klassov funktsii s dominiruyuschei smeshannoi proizvodnoi”, Matem. zametki, 12:6 (1972), 655–664 | Zbl

[49] Bakhvalov N. S., Protsedury chislennogo analiza na yazyke “Algol”, VTs MGU, M., 1972 (with O. V. Brushlinskoi, L. G. Vasilevoi, E. A. Lapshinym), 82 pp.

[50] Bakhvalov N. S., “Opredelenie polyarizatsionnykh kharakteristik bolshogo pulkovskogo radioteleskopa”, Izv. vuzov. Radiofizika, 16:5 (1973), 669–674 (with N. A. Esepkinoi, L. G. Vasilevoi, N. S. Sobolevoi, A. V. Temirovoi)

[51] Bakhvalov N. S., “Polyarizatsionnye kharakteristiki antenny peremennogo profilya”, Astrofiz. issl. (Izv. CAO), 5 (1973), 135–149 (with N. A. Esepkinoi, L. G. Vasilevoi, N. S. Sobolevoi, A. V. Temirovoi)

[52] Bakhvalov N. S., “Issledovanie odnomernogo dvizheniya snezhnoi laviny po ploskomu sklonu”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1973, no. 5, 7–14 (with M. E. Eglit)

[53] Bakhvalov N. S., Chislennye metody, Uchebnoe posobie, Nauka, M., 1973, 632 pp. ; 1975 (Переведено на венгерский, испанский, ранцузский, английский, итальянский языки) | MR | Zbl

[54] Bakhvalov N. S., “Kharakteristika paketa chislennogo integrirovaniya”, Chisl. analiz na FORTRANE, 8, MGU, M., 1974, 4–8

[55] Bakhvalov N. S., “Osrednennye kharakteristiki tel s periodicheskoi strukturoi”, Dokl. AN SSSR, 218:5 (1974), 1046–1048

[56] Bakhvalov N. S., “O dvizhenii snezhnykh lavin”, Tr. SARNIGM, 15(96), L., 1974, 8–15 (with A. G. Kulikovskim, V. N. Kurkinym, E. I. Sveshnikovoi, M. E. Eglit)

[57] Bakhvalov N. S., “Metod prognoza v reshenii odnoi ellipticheskoi zadachi”, Sovesch. po programmirovaniyu i matem. metodam resheniya fiz. zadach (Dubna, 30 okt.–4 noyab., 1973), OIYaI, Dubna, 1974, 48–50 (with B. C. Bondarenko, E. P. Zhidkovym, S. I. Serdyukovoi)

[58] Bakhvalov N. S., “Osrednenie differentsialnykh uravnenii s chastnymi proizvodnymi s bystroostsilliruyuschimi koeffitsientami”, Dokl. AN SSSR, 221:3 (1975), 516–519 | MR | Zbl

[59] Bakhvalov N. S., “Osrednenie nelineinykh uravnenii s chastnymi proizvodnymi s bystroostsilliruyuschimi koeffitsientami”, Dokl. AN SSSR, 225:2 (1975), 249–252 | MR | Zbl

[60] Bakhvalov N. S., Primenenie metoda setok k raschetu polei vozbuzhdeniya neodnorodnoi idealno provodyaschei struktury dvizhuschimsya sgustkom elektronov, Preprint R-9-8643, OIYaI, Dubna, 1975 (with B. C. Bondarenko, E. P. Zhidkovym, S. I. Serdyukovoi, S. B. Rubinym), 14 pp.

[61] Bakhvalov N. S., “O chislennom reshenii sistemy uravnenii Maksvella v neodnorodnoi oblasti s dvizhuschimsya razryvom v pravoi chasti”, Zh. vychisl. matem. i matem. fiz., 16:3 (1976), 697–704 (with B. C. Bondarenko, E. P. Zhidkovym, S. I. Serdyukovoi, S. B. Rubinym) | Zbl

[62] Bakhvalov N. S., “An acoustic beam in nonlinear medium”, VI Internat. Simp. on Nonlinear Acoustic, MGU, M., 1975, 88–96 (with Ya. M. Zhileikin, E. A. Zabolotskaya, R. V. Khokhlov)

[63] Bakhvalov N. S., “Nelineinoe rasprostranenie zvukovogo puchka v nedissipativnoi srede”, Akustich. zhurnal, 22:4 (1976), 487–491 (with Ya. M. Zhileikinym, E. A. Zabolotskoi, R. V. Khokhlovym)

[64] Bakhvalov N. S., “Osrednenie uravnenii s chastnymi proizvodnymi s bystro ostsilliruyuschimi koeffitsientami”, Probl. vychisl. matem. i matem. fiz., Nauka, M., 1977, 34–51 | MR

[65] Bakhvalov N. S., “Koeffitsientnaya ustoichivost differentsialnykh uravnenii i osrednenie uravnenii so sluchainymi koeffitsientami”, Dokl. AN SSSR, 242:4 (1978), 745–748 (with A. A. Zlotnikom) | MR | Zbl

[66] Bakhvalov N. S., “Osobennosti raboty moschnykh parametricheskikh izluchatelei zvuka”, Akustich. zhurnal, 24:1 (1978), 125–127 (with Ya. M. Zhileikinym, O. V. Rudenko) | MR

[67] Bakhvalov N. S., “Rasprostranenie zvukovykh puchkov konechnoi amplitudy v dissipativnoi srede”, Akustich. zhurnal, 24:4 (1978), 473–479 (with Ya. M. Zhileikinym, E. A. Zabolotskoi, R. V. Khokhlovym) | MR

[68] Bakhvalov N. S., “Nestatsionarnoe vzaimodeistvie vstrechnykh voln v kvadratichno-nelineinoi srede”, Izv. vuzov. Radiofizika, 21:6 (1978), 844–849 (with M. A. Abalievoi, K. I. Volyakom, Ya. M. Zhileikinym, G. A. Lyakhovym)

[69] Bakhvalov N. S., “Primenenie metoda setok k resheniyu odnoi modelnoi samosoglasovannoi zadachi”, Sovesch. po programmirovaniyu i matem. metodam resheniya fiz. zadach (Dubna, 20–23 sent. 1977), OIYaI, Dubna, 1978, 223–226 (with E. P. Zhidkovym, E. P. Kadantsevoi, S. B. Rubinym, S. I. Serdyukovoi)

[70] Bakhvalov N. S., “Sfokusirovannye zvukovye puchki konechnoi amplitudy”, Akustich. zhurnal, 24:1 (1978), 21–28 (with Ya. M. Zhileikinym, E. A. Zabolotskoi, R. V. Khokhlovym) | MR

[71] Bakhvalov N. S., “Generatsiya garmonik v zvukovykh puchkakh”, Akustich. zhurnal, 25:2 (1979), 187–196 (with Ya. M. Zhileikinym, E. A. Zabolotskoi, R. V. Khokhlovym)

[72] Bakhvalov N. S., “Parametricheskoe vzaimodeistvie zvukovykh puchkov”, Akustich. zhurnal, 25:4 (1979), 488–494 (with Ya. M. Zhileikinym, E. A. Zabolotskoi)

[73] Bakhvalov N. S., “O nelineinom rasprostranenii gaussovykh puchkov”, Akustich. zhurnal, 25:6 (1979), 810–814 (with Ya. M. Zhileikinym, E. A. Zabolotskoi) | MR

[74] Bakhvalov N. S., “Chislennoe reshenie modelnoi samosoglasovannoi elektrodinamicheskoi zadachi”, Zh. vychisl. matem. i matem. fiz., 19:5 (1979), 1228–1236 (with E. P. Zhidkovym, E. P. Kadantsevoi, S. B. Rubinym, S. I. Serdyukovoi)

[75] Bakhvalov N. S., “K voprosu o skorosti zvuka v smesyakh”, Dokl. AN SSSR, 245:6 (1979), 1345–1348 | MR

[76] Bakhvalov N. S., “Polyarizatsionnye kharakteristiki radioteleskopa Ratan-600”, Astrofiz. issl. (Izv. CAO), 11 (1979), 182–195 (with H. A. Esepkinoi, B. A. Vasilevym, L. G. Vasilevoi, A. V. Temirovoi)

[77] Bakhvalov N. S., “Samofokusirovka volnovykh puchkov s platoobraznym raspredeleniem intensivnosti”, Pisma v ZhETF, 30:2 (1979), 119–122 (with A. M. Prokhorovym, A. A. Amosovym, Ya. M. Zhileikinym, V. V. Korobkinym, R. V. Serovym)

[78] Bakhvalov N. S., “Chislennyi raschet koeffitsientov zatukhaniya i mod otkrytogo opticheskogo rezonatora”, Vychisl. metody i programmirovanie, 31, VTs MGU, M., 1979, 190–193 (with V. A. Berenbergom, Ya. M. Zhileikinym)

[79] Bakhvalov N. S., “Reshenie na EVM zadachi o vstrechnom vzaimodeistvii trekh opticheskikh voln”, Vychisl. metody i programmirovanie, 31, VTs MGU, M., 1979, 148–157 (with M. A. Abalievoi, Ya. M. Zhileikinym, G. A. Lyakhovym)

[80] Bakhvalov N. S., “Diagrammy napravlennosti antenny peremennogo profilya”, Radiotekhn. i elektronika, 25:9 (1980), 1829–1843 (with I. B. Abramovym, M. G. Belkinoi, Ya. M. Zhileikinym, Ya. I. Feldom)

[81] Bakhvalov N. S., “Polyarizatsionnye kharakteristiki radioteleskopa Ratan-600 s uchetom aberratsii”, Astrofiz. issl. (Izv. CAO), 12 (1980), 106–124 (with N. A. Esepkinoi, B. A. Vasilevym, L. G. Vasilevoi, I. A. Vodovatovym, A. V. Temirovoi)

[82] Bakhvalov N. S., “Nelineinoe rasprostranenie zvukovykh puchkov s ravnomernym raspredeleniem amplitudy”, Akustich. zhurnal, 26:2 (1980), 173–181 (with Ya. M. Zhileikinym, E. A. Zabolotskoi)

[83] Bakhvalov N. S., “Iteratsionnye protsessy dlya zadachi statsionarnogo teploobmena v sisteme absolyutno chernykh tel”, Zh. vychisl. matem. i matem. fiz., 20:1 (1980), 104–111 (with A. A. Amosovym, Yu. I. Osipik) | MR | Zbl

[84] Bakhvalov N. S., “Osrednenie protsessa rasprostraneniya korotkikh voln v periodicheskikh sredakh”, Teoriya kubaturnykh f-l i vychisl. matem., Nauka, Novosibirsk, 1980, 3–11 | MR

[85] Bakhvalov N. S., “Issledovanie differentsialnykh uravnenii s bystroostsilliruyuschimi koeffitsientami”, Proc. IV Symp. on Basic Problems of Numer. Math. MFFUK v Praze, 1980, 5–14

[86] Bakhvalov N. S., “Homogenization and perturbation problems”, Comput. Methods in Appl. Sci. and Engng., North-Holland Publ. Co., Amsterdam, 1980, 645–658 | MR

[87] Bakhvalov N. S., “O rasprostranenii moschnykh volnovykh puchkov v nelineinoi srede”, Izv. AN SSSR. Ser. fiz., 45:8 (1981), 1422–1428 (with A. M. Prokhorovym, A. A. Amosovym, M. V. Vladimirovym, D. V. Vlasovym, Ya. M. Zhileikinym, V. V. Korobkinym, R. V. Serovym)

[88] Bakhvalov N. S., “Interpolyatsionnye teoremy dlya operatorov, podchinennykh neskolkim proizvodnym”, Dokl. AN SSSR, 256:6 (1981), 1296–1300 (with B. I. Berezinym, Yu. L. Bessonovym) | MR | Zbl

[89] Bakhvalov N. S., “Osrednenie uravneniya perenosa dlya periodicheskoi sredy”, Vestn. MGU. Ser. 15. Vychisl. matem. i kibernetika, 1981, no. 1, 14–20 | MR | Zbl

[90] Bakhvalov N. S., “Osrednenie protsessa peredachi tepla v periodicheskikh sredakh pri nalichii izlucheniya”, Differents. ur-niya, 17:10 (1981), 1765–1773 | MR | Zbl

[91] Bakhvalov N. S., Nelineinaya teoriya zvukovykh puchkov, Nauka, M., 1982 (with Ya. M. Zhileikinym, E. A. Zabolotskoi), 174 pp. (perevedena na angl. yaz.) | MR | Zbl

[92] Bakhvalov N. S., “Osrednenie uravnenii s chastnymi proizvodnymi s bystro ostsilliruyuschimi koeffitsientami”, Sovrem. probl. matem. fiz. i vychisl. matem., Nauka, M., 1982, 38–47 | MR

[93] Bakhvalov N. S., “Opredelenie effektivnykh kharakteristik nelineinoi uprugoi periodicheskoi sredy v sluchae malykh deformatsii”, Chisl. metody resheniya zadach teorii uprugosti i plastichnosti, Materialy VII Vses. konf. (Miass, 1–3 iyulya 1981), Novosibirsk, 1982, 3–7

[94] Bakhvalov N. S., “Chislennoe modelirovanie dvizheniya plotnogo sgustka elektronov v neodnorodnoi strukture”, Zh. vychisl. matem. i matem. fiz., 22:3 (1982), 685–689 (with E. P. Zhidkovym, E. P. Kadantsevoi, S. B. Rubinym, S. I. Serdyukovoi) | MR

[95] Bakhvalov N. S., “Ob optimalnoi skorosti skhodimosti kvadratur so sluchainymi uzlami”, Teoriya veroyatnostei i ee primeneniya, 27:3 (1982), 607–608 | MR

[96] Bakhvalov N. S., “O bystrykh sposobakh resheniya uravneniya Puassona”, Zh. vychisl. matem. i matem. fiz., 22:6 (1982), 1386–1392 (with M. Yu. Orekhovym) | MR | Zbl

[97] Bakhvalov N. S., “Protsessy v periodicheskikh sredakh, ne opisyvaemye v terminakh srednikh kharakteristik”, Dokl. AN SSSR, 268:4 (1983), 836–840 (with M. E. Eglit) | MR | Zbl

[98] Bakhvalov N. S., “O rabote universitetskoi sektsii prikladnoi matematiki za 1970–1980 gg.”, Sb. nauchno-metodich statei po matem., 10, M., 1983, 36–47 (with N. P. Trifonovym, Ya. M. Zhileikinym, A. B. Kukarkinym)

[99] Bakhvalov N. S., Parallelnye algoritmy resheniya nekotorykh statsionarnykh zadach matematicheskoi fiziki, OVM AN SSSR, M., 1984 (with V. I. Lebedevym, V. I. Agoshkovym, O. K. Baburinym, A. B. Knyazevym, V. P. Shutyaevym), 142 pp. | MR

[100] Bakhvalov N. S., “Chislennoe reshenie zadach s negladkimi dannymi i interpolyatsionnye teoremy”, Tr. Matem. in-ta AN SSSR, 166, M., 1984, 18–22 | MR | Zbl

[101] Bakhvalov N. S., Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov, Nauka, M., 1984 (with G. P. Panasenko), 352 pp. (perevedena na angl. yaz.) | MR | Zbl

[102] Bakhvalov N. S., Chislennyi raschet koeffitsientov usileniya sveta na perekhodakh H-ionov v svobodno razletayuscheisya plazme, Preprint No 187, IOF AN SSSR, M., 1985 (with A. V. Borovskim, V. V. Korobkinym, E. V. Chizhonkovym, M. E. Eglit, A. E. Yakubenko), 32 pp.

[103] Bakhvalov N. S., “Osrednenie protsessov v periodicheskikh sredakh”, Aktualnye probl. vychisl. matem. i matem. fiz., Nauka, Novosibirsk, 1985, 131–147 | MR

[104] Bakhvalov N. S., “Problemy professionalnoi podgotovki v oblasti programmirovaniya i ispolzovaniya EVM”, Sb. nauchno-metodich. statei po matem., 12, M., 1985, 8–28 (with V. P. Betelinym, A. G. Kushnirenko, G. V. Lebedevym, A. B. Mikhalevym)

[105] Bakhvalov N. S., “Effektivnye chislennye metody resheniya uravnenii Nave–Stoksa”, Chisl. modelirovanie v aerogidrodinamike, Nauka, M., 1986, 37–45 (with G. M. Kobelkovym, E. V. Chizhonkovym)

[106] Bakhvalov N. S., Chislennoe modelirovanie periodicheskikh rezhimov v odnomernom dzhosefsonovskom perekhode s mikroneodnorodnostyami, Soobsch. OIYaI, R-17-86-537, OIYaI, Dubna, 1986 (with Yu. S. Galpern, G. S. Kazacha, S. I. Serdyukovoi, A. T. Filippovym), 17 pp.

[107] Bakhvalov N. S., Praktikum po programmirovaniyu, Izd-vo MGU, M., 1987 (with kollektivom soavtorov), 104 pp.

[108] Bakhvalov N. S., Nagrev i neravnovesnaya teplovaya ionizatsiya plazmy korotkim lazernym impulsom, Preprint No 166, IOF AN SSSR, M., 1987 (with A. B. Borovskim, V. V. Korobkinym, E. V. Chizhonkovym, M. E. Eglit), 21 pp.

[109] Bakhvalov N. S., O prakticheskom vychislenii znachenii ortogonalnykh mnogochlenov nepreryvnogo i diskretnogo argumenta, Preprint No 158, OVM AN SSSR, M., 1987 (with G. M. Kobelkovym, Yu. V. Noskovym), 28 pp. | MR

[110] Bakhvalov N. S., Chislennye metody, Nauka, M., 1987 (with N. P. Zhidkovym, G. M. Kobelkovym), 600 pp. | MR | Zbl

[111] Bakhvalov N. S., Iteratsionnyi metod resheniya ellipticheskikh zadach so skorostyu skhodimosti, ne zavisyaschei ot razbrosa koeffitsientov, Preprint No 190, OVM AN SSSR, M., 1988 (with G. M. Kobelkovym, E. V. Chizhonkovym), 18 pp. | MR

[112] Bakhvalov N. S., Reshenie pervoi kraevoi zadachi dlya sistemy uravnenii teorii uprugosti metodom fiktivnykh oblastei, Preprint No 191, OVM AN SSSR, M., 1988, 14 pp. | MR

[113] Bakhvalov N. S., “Metod osredneniya dlya uravnenii s chastnymi proizvodnymi i ego primeneniya”, Itogi nauki i tekhn. Sovrem. probl. matem.: Fundamentalnye napravleniya, 34, VINITI, M., 1988, 215–241 (with G. P. Panasenko, A. L. Shtarasom) | MR

[114] Bakhvalov N. S., “Chislenno-asimptoticheskie metody”, Asimptotich. metody matem. fiz., Nauk. dumka, Kiev, 1988, 18–28 (with G. P. Panasenko, A. L. Shtarasom, M. E. Eglit) | MR

[115] Bakhvalov N. S., “Single-electron tunnel junctions array: an electrostatic analog of the Josephson transition line”, IEEE Trans. Magn., 25:2 (1989), 1436–1439 (with G. S. Kazacha, K. K. Likhachev, S. I. Serdyukova) | DOI

[116] Bakhvalov N. S., “A new iterative algorithm for solving the fictitious fluxes method problems for elliptic equations”, Proc. EQUADIFF 7, Teubner-Texte zur Math., Praha, 1989, 225–227 (with A. V. Knyazev)

[117] Bakhvalov N. S., “Odnoelektronnye solitony v odnomernykh tunnelnykh strukturakh”, Zh. eksperim. i teor. fiz., 95:3 (1989), 1010–1021 (with G. S. Kazacha, K. K. Likhachevym, S. I. Serdyukovoi)

[118] Bakhvalov N. S., Zadachi po kursu “Metody vychislenii”, MGU, M., 1989 (with G. M. Kobelkovym, V. V. Pospelovym), 128 pp.

[119] Bakhvalov N. S., “Interpolyatsionnye teoremy dlya klassov funktsii s dominiruyuschei smeshannoi proizvodnoi”, Analys. Math., 15:1 (1989), 55–65 | DOI | MR | Zbl

[120] Bakhvalov N. S., “Variatsionnye svoistva osrednennykh modelei periodicheskikh sred”, Tr. Matem. in-ta AN SSSR, 192, M., 1990, 5–19 (with M. E. Eglit) | MR | Zbl

[121] Bakhvalov N. S., “Novyi iteratsionnyi algoritm resheniya zadach metoda fiktivnykh potokov dlya ellipticheskikh uravnenii”, Dokl. AN SSSR, 312:4 (1990), 783–786 (with A. V. Knyazevym) | MR | Zbl

[122] Bakhvalov N. S., “Effektivnoe vychislenie osrednennykh kharakteristik kompozitov periodicheskoi struktury iz suschestvenno raznorodnykh materialov”, Dokl. AN SSSR, 313:4 (1990), 777–781 (with A. V. Knyazevym) | Zbl

[123] Bakhvalov N. S., “Iterative methods for solving equations with highly varying coefficients”, Domain Decomposition Methods for Partial Differential Equations. Appl. Math., 51, SIAM, Philadelphia, 1991, 197–205 (with A. V. Knyazev, G. M. Kobelkov) | MR

[124] Bakhvalov N. S., “Effektivnyi iteratsionnyi metod resheniya uravneniya Lame dlya pochti neszhimaemykh sred i uravneniya Stoksa”, Dokl. AN SSSR, 319:1 (1991), 13–17 (with A. V. Knyazevym) | Zbl

[125] Bakhvalov N. S., “Metody effektivnogo vychisleniya osrednennykh kharakteristik kompozitov periodicheskoi struktury iz suschestvenno raznorodnykh materialov”, Vychisl. protsessy i sistemy, 8, Nauka, M., 1991. 52–94 (with A. V. Knyazevym) | MR

[126] Bakhvalov N. S., “Static and dinamics of single-electron solutions in two-dimensional arrays of ultrasmall tunnel junctions”, Physica B, 173:3 (1991), 319–328 (with G. S. Kazacha, K. K. Likhachev, S. I. Serdyukova) | DOI

[127] Bakhvalov N. S., “Properties of averaged models in the periodic media mechanics”, Composite Media and Homogenization Theory, Birkhauser, Boston, 1991, 37–46 (with M. E. Eglit) | MR

[128] Bakhvalov N. S., “O skorosti rasprostraneniya vozmuschenii v mikroneodnorodnykh uprugikh sredakh s maloi sdvigovoi uprugostyu”, Dokl. RAN, 323:1 (1992), 13–18 (with M. E. Eglit) | MR | Zbl

[129] Bakhvalov N. S., “O rasprostranenii malykh vozmuschenii v slaboteploprovodyaschei i slabovyazkoi mikroneodnorodnykh sredakh”, Dokl. RAN, 325:1 (1992), 9–15 (with M. E. Eglit) | Zbl

[130] Bakhvalov N. S., “Neravenstvo tipa Korna i ortogonalnye razlozheniya v prostranstvakh matrits”, Dokl. RAN, 331:5 (1993), 536–537 (with A. V. Knyazevym, M. E. Eglit) | Zbl

[131] Bakhvalov N. S., “Usrednennye uravneniya dinamiki kompozitov sluchainoi struktury, sostavlennykh iz slaboszhimaemykh uprugikh komponentov”, Mekhan. kompozitnykh materialov, 29:3 (1993), 291–295 (with M. E. Eglit) | MR

[132] Bakhvalov N. S., “Osrednenie uravnenii dinamiki kompozitov, sostavlennykh iz slaboszhimaemykh uprugikh komponent”, Zh. vychisl. matem. i matem. fiz., 33:7 (1993), 1066–1082 (with M. E. Eglit) | MR | Zbl

[133] Bakhvalov N. S., “Asymptotic analysis of small-disturbance propagation in mixtures”, Internat. Workshop on Advances in Analytical Methods in Aerodynamics, Miedzyzdroje, Poland, 1993, Abstracts, 123–124 (with M. E. Eglit)

[134] Bakhvalov N. S., “Otsenka pogreshnosti osredneniya dinamiki malykh vozmuschenii silno neodnorodnykh smesei”, Zh. vychisl. matem. i matem. fiz., 34:3 (1994), 395–414 (with M. E. Eglit) | MR | Zbl

[135] Bakhvalov N. S., “Osrednenie uravnenii dinamiki malykh dlinnovolnovykh vozmuschenii silno neodnorodnykh smesei slabovyazkikh zhidkostei i gazov”, Uspekhi matem. nauk, 49:4 (1994), 113 (with M. E. Eglit) | MR

[136] Bakhvalov N. S., “Energeticheskie otsenki v sluchae neprimenimosti neravenstva Korna i ortogonalnye razlozheniya v prostranstvakh matrits”, Tr. Matem. in-ta RAN, 203, M., 1994, 21–32 (with M. E. Eglit) | Zbl

[137] Bakhvalov N. S., “Iterative methods for stiff elliptic problems in finite element methods”, Lect. Notes in Pure and Appl. Math., 164, 1994, 53–61 | MR

[138] Bakhvalov N. S., “An iterative method for solving the diffusion equation with highly varying coefficients”, Rus. J. Numer. Analys. and Math. Modelling, 9:2 (1994), 91–97 | DOI | MR | Zbl

[139] Bakhvalov N. S., “Long waves in mixtures. Results of mathematical homogenization theory”, IUTAM Symposium Liquid-Particle Interactions in Suspension Flows, Extended Abstracts, INPG, Grenoble, France, 1994, 1–2 (with M. E. Eglit)

[140] Bakhvalov N. S., “Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients”, Contemporary Math., 180, 1994, 157–162 (with A. V. Knyazev) | MR | Zbl

[141] Bakhvalov N. S., “Prodolzhenie funktsii i iteratsionnye metody resheniya zhestkikh zadach”, Funktsionalnye prostranstva, teoriya priblizhenii, nelineinyi analiz, Mezhdunar. konf., Tezisy dokl., M., 1995, 39

[142] Bakhvalov N. S., “Solution of the Stokes' nonstationary problem by the fictitious domain method”, Rus. J. Numer. Analys. and Math. Modelling, 10:1 (1995), 163–172 | DOI | MR | Zbl

[143] Bakhvalov N. S., “Iterative methods for stiff elliptic problems”, Advanced Math.: Comput. and Applic., NCC Publisher, Novosibirsk, 1995, 26–31 | MR

[144] Bakhvalov N. S., “Averaging of the wave propagation dynamics in weakly viscous mixtures”, Third Internat. Conf. on Math. and Numer. Aspects of Wave Propagation, SIAM Proc., INRIA, Paris, 1995, 759–761 (with M. E. Eglit)

[145] Bakhvalov N. S., “Effective equations for incompressible elastic materials with pores”, Ninth Internat. Conf. Mech. of Composite Materials, Book of abstracts, Riga, 1995, 52 (with M. E. Eglit)

[146] Bakhvalov N. S., “Yavnoe vychislenie effektivnykh kharakteristik kompozitov, armirovannykh neuporyadochennoi sistemoi volokon”, Dokl. RAN, 340:3 (1995), 295–299 (with M. E. Eglit) | MR | Zbl

[147] Bakhvalov N. S., “O predelnom povedenii periodicheskikh sred s myagkomodulnymi vklyucheniyami”, Zh. vychisl. matem. i matem. fiz., 35:6 (1995), 905–917 (with M. E. Eglit) | MR | Zbl

[148] Bakhvalov N. S., “Homogenization of dynamic problems singularly depending on small parameters”, Proc. Second Workshop on Composite Media and Homogenization Theory (Trieste 1993), World Scient. Publ. Co., Singapore ets., 1995, 17–35 (with M. E. Eglit)

[149] Bakhvalov N. S., “Osrednenie zhestkoarmirovannykh kompozitov s neregulyarnoi strukturoi armirovaniya”, Uspekhi matem. nauk, 50:4 (1995), 131 (with M. E. Eglit) | MR

[150] Bakhvalov N. S., “Primenenie idei Chebyshëva v sovremennoi vychislitelnoi matematike”, Vestn. MGU. Ser. Matem. i mekhan., 1996, no. 6, 5–11 | MR

[151] Bakhvalov N. S., “Matematicheskoe issledovanie protsessa rasprostraneniya zvukovykh voln v smesyakh”, Vestn. MGU. Ser. matem. i mekhan., 1996, no. 6, 19–21 (with G. V. Sandrakovym, M. E. Eglit) | MR | Zbl

[152] Bakhvalov N. S., “Effektivnye svoistva konstruktsii i kompozitov s vklyucheniyami v vide sten i sterzhnei”, Zh. vychisl. matem. i matem. fiz., 36:12 (1996), 73–79 (with G. P. Panasenko, M. E. Eglit) | MR | Zbl

[153] Bakhvalov N. S., “Homogenization for thermoconductivity in a porous medium with periods of different order in the different directions”, Asymptotic Analys., 13:3 (1996), 253–276 (with J. Saint Jean Paulin) | MR | Zbl

[154] Bakhvalov N. S., “Effective properties of irregularly reinforced materials”, Z. angew. Math. und Mech., 4 (1996), 81–83

[155] Bakhvalov N. S., “Fictitious domain methods for solving elasticity problems”, Z. angew. Math. und Mech., 1 (1996), 223–226 | MR | Zbl

[156] Bakhvalov N. S., “Vychislenie effektivnykh uprugikh modulei neszhimaemogo poristogo materiala”, Mekhan. kompozitsionnykh materialov, 32:5 (1996), 579–587 (with K. Yu. Bogachevym, M. E. Eglit)

[157] Bakhvalov N. S., “Osrednenie uravnenii statiki i dinamiki poristoi sredy iz neszhimaemogo materiala”, Tr. seminara im. I. G. Petrovskogo, 19, MGU, M., 1996, 284–303 (with M. E. Eglit)

[158] Bakhvalov N. S., “New result in development of mathematicial methods for prediction of composite effective properties”, Proc. Amer. Soc. for Composites, 12-th Techn. Conf. (6–8 Oct., 1997), Techn. Publ. Co., Dearborn, USA, 1997, 139–149 (with M. E. Eglit, A. E. Yakubenko)

[159] Bakhvalov N. S., “Effektivnye moduli tonkostennykh konstruktsii”, Vestn. MGU. Ser. matem., mekhan., 1997, no. 6, 60–60 (with M. E. Eglit)

[160] Bakhvalov N. S., “Numerical-asymptotic methods in mechanics composite materials”, Proc. of ENUMATH 97, World Scient. Publ. Co., Singapore etc., 1998, 3–16 | MR | Zbl

[161] Bakhvalov N. S., “Precise estimates of the difference between the homogenized solution with the first corrector and the original one”, Appl. Analys., 70:1–2 (1998), 45–60 (with A. Bourgeat) | DOI | MR | Zbl

[162] Bakhvalov N. S., “Effektivnye moduli kompozitov, armirovannykh sistemami plastin i sterzhnei”, Zh. vychisl. matem. i matem. fiz., 38:5 (1998), 813–834 (with M. E. Eglit) | MR | Zbl

[163] Bakhvalov N. S., “Multiparametric problems of homogenization theory”, Homogenization, Advances Math. Appl. Sci., 50, World Scient. Publ. Co., Singapore etc., 1998, 92–106 (with M. E. Eglit) | MR

[164] Bakhvalov N. S., “Effektivnyi algoritm resheniya zhestkikh ellipticheskikh zadach s prilozheniyami k metodu fiktivnykh oblastei”, Zh. vychisl. matem. i matem. fiz., 39:6 (1999), 919–931 (with K. Yu. Bogachevym, Zh. F. Metrom) | MR | Zbl

[165] Bakhvalov N. S., “Ob avtomaticheskom konstruirovanii setki integrirovaniya pri reshenii kraevykh zadach s pogranichnym sloem”, Zh. vychisl. matem. i matem. fiz., 39:8 (1999), 1285–1290 | MR

[166] Bakhvalov N. S., “Effektivnye metody resheniya zhestkikh mnogomernykh mnogoparametricheskikh zadach”, Zh. vychisl. matem. i matem. fiz., 39:12 (1999), 2019–2049 | MR | Zbl

[167] Bakhvalov N. S., “O dispersii voln v melkosloistykh sredakh”, Sovrem. probl. mekhan., Tezisy dokl. konf., posvyaschennoi 40-letiyu In-ta mekhan. MGU, MGU, M., 1999, 22–23 (with M. E. Eglit)

[168] Bakhvalov N. S., “Effektivnye uravneniya s dispersiei dlya rasprostraneniya voln v periodicheskikh sredakh”, Dokl. RAN, 370:1 (2000), 7–10 (with M. E. Eglit) | MR | Zbl

[169] Bakhvalov N. S., “Long-waves asymptotics with dispersion for the waves propagation in stratified media. Part 1: Waves orthogonal to the layers”, Russ. J. Numer. Analys. and Math. Modelling, 15:1 (2000), 3–14 (with M. E. Eglit) | DOI | MR | Zbl

[170] Bakhvalov N. S., “Long-wave asymptotics with dispersion for wave propagation in stratified media. II: Waves in arbitrary directions”, Russ. J. Numer. Analys. and Math. Modelling, 15:3–4 (2000), 225–236 (with M. E. Eglit) | DOI | MR | Zbl

[171] Bakhvalov N. S., “On wave dispersion in laminated composites”, Eleventh Internat. Conf. Mechan. of Composite Materials, Book of abstracts, Riga, 2000, 17 (with M. E. Eglit)

[172] Bakhvalov N. S., “Effective model with dispersion for long waves propagation in stratified media”, Fifth Internat. Conf. on Math. and Numer. Aspects of Wave Propagation. SIAM, INRIA, Paris, 2000, 555–558 (with M. E. Eglit) | MR

[173] Bakhvalov N. S., Chislennye metody v zadachakh i uprazhneniyakh, Uch. posobie, Vyssh. shkola, M.–SPb, 2000 (with A. V. Lapinym, E. V. Chizhonkovym), 192 pp.

[174] Bakhvalov N. S., Chislennye metody, Uch. posobie, Fizmatlit, M.–SPb, 2000 (with N. P. Zhidkovym, G. M. Kobelkovym), 624 pp. | Zbl

[175] Bakhvalov N. S., Chislennye metody, Uch. posobie, Fizmatlit, M.–SPb, 2001 (with N. P. Zhidkovym, G. M. Kobelkovym), 632 pp.

[176] Bakhvalov N. S., Chislennye metody, Uch. posobie, Binom. Laboratoriya Znanii, M.–SPb., 2003, 632 pp.; 2004 (совм. с Н. П. Жидковым, Г. М. Кобельковым)

[177] Bakhvalov N. S., “Ob uprugikh modulyakh vysshego poryadka, opredelyayuschikh dispersiyu voln v mikroneodnorodnykh sredakh”, Uprugost i neuprugost, Materialy Mezhdunar. nauchn. simpoziuma po probl. mekhan. deformiruemykh tel, posvyaschennoi 90-letiyu A. A. Ilyushina (M., 22–23 yanvarya 2001 goda), MGU, M., 2001, 263–276 (with M. E. Eglit)

[178] Bakhvalov N. S., “Convergence towards the homogenized solution in case of Lipschitzian boundary”, Applic. Analys., 80:1–2 (2001), 161–175 (with A. Bourgeat) | DOI | MR | Zbl

[179] Bakhvalov N. S., “O svoistvakh uravnenii vysshego poryadka dlya uprugikh voln v stratifitsirovannykh sredakh”, Differential Equations and Related Topics, Mezhdunar. konf., Book of abstracts, M., 2001, 52–53 (with M. E. Eglit)

[180] Bakhvalov N. S., “Extension theorems for Stokes and Lame equations for nearly incompressible media and their applications to numerical solution of problems with highly discontinuous”, Numer. Linear Algebra with Appl., 9:2 (2002), 115–139 (with A. V. Knyazev, R. R. Parashkevov) | DOI | MR | Zbl

[181] Bakhvalov N. S., “Issledovanie effektivnykh uravnenii s dispersiei, opisyvayuschikh rasprostranenie voln v stratifitsirovannykh sredakh i tonkikh plastinakh”, Dokl. RAN, 383:6 (2002), 742–746 (with M. E. Eglit) | MR | Zbl

[182] Bakhvalov N. S., “Issledovanie effektivnykh uravnenii s dispersiei, opisyvayuschikh rasprostranenie voln v neodnorodnykh tonkikh sterzhnyakh”, Dokl. RAN, 387:6 (2002), 749–753 (with K. Yu. Bogachevym, M. E. Eglit) | MR | Zbl

[183] Bakhvalov N. S., “Homogenization of some multiparametric problems”, Analys. and Appl., ISAAC (2001), Kluwer Acad. Publs., Dordrecht, 2003, 31–49 (with M. E. Eglit) | MR | Zbl