Boris Vasil'evich Pal'tsev (on the occasion of his seventieth birthday)

M. K. Kerimov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1171-1178

Bibliographie

[1] Paltsev B. V., “Mnogomernyi analog teoremy Morera”, Sibirskii matem. zhurnal, 4:6 (1963), 1376–1389

[2] Paltsev B. V., “O razlozhenii reshenii zadachi Dirikhle i smeshannoi zadachi dlya bigarmonicheskogo uravneniya v ryad po resheniyam raspadayuschikhsya zadach”, Zh. vychisl. matem. i matem. fiz., 6:1 (1966), 43–51 | MR

[3] Paltsev B. V., “Metod malogo parametra v granichnoi zadache dlya sistemy Ozeena”, Zh. vychisl. matem. i matem. fiz., 7:5 (1967), 1144–1166

[4] Paltsev B. V., “O skhodimosti metoda posledovatelnykh priblizhenii s rasschepleniem granichnykh uslovii pri reshenii kraevoi zadachi dlya uravnenii Nave–Stoksa”, Zh. vychisl. matem. i matem. fiz., 10:3 (1970), 785–788

[5] Paltsev B. V., “Asimptoticheskoe povedenie sobstvennykh znachenii integralnykh operatorov sverstki na konechnom intervale s yadrami, preobrazovaniya Fure kotorykh ratsionalny”, Dokl. AN SSSR, 194:4 (1970), 774–777

[6] Paltsev B. V., “Razlozhenie po sobstvennym funktsiyam integralnykh operatorov svertki na konechnom intervale s yadrami, preobrazovaniya Fure kotorykh ratsionalny. “Slabo” nesamosopryazhennye regulyarnye yadra”, Izv. AN SSSR. Ser. matem., 36:3 (1972), 591–634 | MR

[7] Paltsev B. V., “O razdelenii oblastei pri reshenii kraevykh zadach dlya uravneniya Puassona v oblastyakh slozhnoi formy”, Zh. vychisl. matem. i matem. fiz., 13:6 (1973), 1441–1458 (with E. I. Mateevoi)

[8] Paltsev B. V., “Asimptotika spektra i sobstvennykh funktsii integralnykh operatorov svertki na konechnom intervale s odnorodnym preobrazovaniem Fure yadra”, Dokl. AN SSSR, 218:1 (1974), 28–31

[9] Paltsev B. V., “Ob odnom priznake nepreryvnosti kanonicheskoi matritsy reshenii zadachi Gilberta”, Dokl. AN SSSR, 226:6 (1976), 1271–1274 | MR

[10] Paltsev B. V., “O normalnoi razreshimosti nekotorykh integralnykh uravnenii pervogo roda na otrezke”, Sibirskii matem. zhurnal, 18:1 (1977), 195–211 | MR

[11] Paltsev B. V., “O zadache Dirikhle dlya odnogo psevdodifferentsialnogo uravneniya, vstrechayuschegosya v teorii sluchainykh protsessov”, Izv. AN SSSR. Ser. matem., 41:6 (1977), 1348–1387 | MR

[12] Paltsev B. V., “O kraevykh zadachakh dlya sistemy uravnenii Sen-Venana na ploskosti”, Zh. vychisl. matem. i matem. fiz., 19:3 (1979), 708–725 (with V. F. Baklanovskoi, I. I. Chechel) | MR

[13] Paltsev B. V., “Uravneniya svertki na konechnom intervale dlya odnogo klassa simvolov, imeyuschikh stepennuyu asimptotiku na beskonechnosti”, Izv. AN SSSR. Ser. matem., 44:2 (1980), 322–393 | MR

[14] Paltsev B. V., “Obobschenie metoda Vinera–Khopfa dlya uravnenii svertki na konechnom intervale s simvolami, imeyuschimi stepennuyu asimptotiku na beskonechnosti”, Matem. sb., 113:3 (1980), 355–399 | MR

[15] Paltsev B. V., “Ob odnom metode postroeniya kanonicheskoi matritsy reshenii zadachi Gilberta, voznikayuschei pri reshenii uravnenii svertki na konechnom intervale”, Izv. AN SSSR. Ser. matem., 45:6 (1981), 1332–1390 | MR

[16] Paltsev B. V., “O kanonicheskoi matritse reshenii zadachi lineinogo sopryazheniya s kusochno-nepreryvnym matrichnym koeffitsientom na elementarnoi kusochno-gladkoi krivoi”, Dokl. AN SSSR, 297:5 (1987), 1054–1058

[17] Paltsev B. V., “Ob otsenke norm singulyarnykh integralnykh operatorov v prostranstvakh $L_p$ s vesami, udovletvoryayuschimi usloviyu Makenkhaupta”, Sibirskii matem. zhurnal, 28:1 (1987), 185–198 | MR

[18] Paltsev B. V., “Ob usloviyakh, obespechivayuschikh nepreryvnost vplot do kontura i stepennoe povedenie v okrestnostyakh uzlovykh tochek reshenii odnorodnoi zadachi lineinogo sopryazheniya s kusochno-nepreryvnym matrichnym koeffitsientom”, Dokl. AN SSSR, 299:3 (1988), 558–562 | MR

[19] Paltsev B. V., “Mnogosetochnyi metod razresheniya odnoi konechnoelementnoi skhemy dlya dvumernoi sistemy tipa Stoksa”, Zh. vychisl. matem. i matem. fiz., 30:12 (1990), 1797–1804 (with I. I. Chechel) | MR

[20] Paltsev B. V., “O bystroskhodyaschikhsya modifikatsiyakh metoda A. A. Dorodnitsyna dlya dvumernoi sistemy tipa Stoksa s malym parametrom”, Probl. prikl. matem. i informatiki, v. 1, Mekhanika i matem. fiz., VTs AN SSSR, M., 1992, 108–124 (with N. A. Meller, I. I. Chechel) | MR

[21] Paltsev B. V., “O bystroskhodyaschikhsya iteratsionnykh metodakh s rasschepleniem granichnykh uslovii dlya mnogomernoi sistemy tipa Stoksa. Periodicheskie “techeniya” mezhdu parallelnymi stenkami”, Dokl. RAN, 325:5 (1992), 926–931 | MR

[22] Paltsev B. V., “O bystroskhodyaschikhsya iteratsionnykh metodakh s nepolnym rasschepleniem granichnykh uslovii dlya mnogomernoi singulyarno vozmuschennoi sistemy tipa Stoksa”, Matem. sb., 185:4 (1994), 101–150 | MR

[23] Paltsev B. V., “O bystroskhodyaschikhsya iteratsionnykh metodakh s polnym rasschepleniem granichnykh uslovii dlya mnogomernoi singulyarno vozmuschennoi sistemy tipa Stoksa”, Matem. sb., 185:9 (1994), 109–138 | MR

[24] Paltsev B. V., “Ob usloviyakh skhodimosti iteratsionnykh metodov s polnym rasschepleniem granichnykh uslovii dlya sistemy Stoksa v share i sharovom sloe”, Zh. vychisl. matem. i matem. fiz., 35:6 (1995), 935–963 | MR

[25] Paltsev B. V., “O smeshannoi zadache s neodnorodnymi granichnymi usloviyami dlya ellipticheskikh s parametrom uravnenii vtorogo poryadka v lipshitsevykh oblastyakh”, Matem. sb., 187:4 (1996), 59–116 | MR

[26] Paltsev B. V., “O bystroskhodyaschemsya iteratsionnom metode s razdeleniem na podoblasti resheniya kraevykh zadach dlya ellipticheskogo s parametrom uravneniya vtorogo poryadka”, Zh. vychisl. matem. i matem. fiz., 36:10 (1996), 26–45 (with N. A. Meller, I. I. Chechel) | MR

[27] Paltsev B. V., “Algoritmy chislennykh realizatsii na osnove bilineinykh konechnykh elementov iteratsionnykh metodov s rasschepleniem granichnykh uslovii dlya sistemy tipa Stoksa v polose pri uslovii periodichnosti”, Zh. vychisl. matem. i matem. fiz., 37:7 (1997), 799–815. (Sovm. s I.I. Chechel | MR

[28] Paltsev B. V., “O realnykh kachestvakh bilineinykh konechno-elementnykh realizatsii metodov s rasschepleniem granichnykh uslovii dlya sistemy tipa Stoksa”, Zh. vychisl. matem. i matem. fiz., 38:2 (1998), 247–261 (with I. I. Chechel) | MR

[29] Paltsev B. V., “O nekotorykh sposobakh povysheniya skorosti skhodimosti na vysokikh garmonikakh bilineinykh konechno-elementnykh realizatsii iteratsionnykh metodov s rasschepleniem granichnykh uslovii dlya sistemy tipa Stoksa”, Zh. vychisl. matem. i matem. fiz., 38:6 (1998), 956–970 (with I. I. Chechel) | MR

[30] Paltsev B. V., “O metodakh s rasschepleniem granichnykh uslovii dlya sistemy tipa Stoksa v oblastyakh s krugovoi simmetriei”, Funktsionalnye prostranstva. Differents. operatory. Probl. Matem. obrazovaniya, Tr. Mezhdunar. konf., posvyaschennoi 75-letiyu chl.-korr. RAN, prof. L. D. Kudryavtseva, v. 2, Izd-vo RUDN, M., 1998, 124–128

[31] Paltsev B. V., “O konechno-elementnykh realizatsiyakh iteratsionnykh metodov s rasschepleniem granichnykh uslovii dlya sistem Stoksa i tipa Stoksa v sharovom sloe. Osesimmetrichnyi sluchai”, Zh. vychisl. matem. i matem. fiz., 39:1 (1999), 98–123 (with N. A. Meller, E. G. Khlyupinoi) | MR

[32] Paltsev B. V., “O ravnomernykh po deistvitelnym argumentu i indeksu dvustoronnikh otsenkakh dlya modifitsirovannykh funktsii Besselya”, Matem. zametki, 65:5 (1999), 681–692 | MR

[33] Paltsev B. V., “O bilineinykh konechno-elementnykh realizatsiyakh iteratsionnykh metodov s nepolnym rasschepleniem granichnykh uslovii dlya sistemy tipa Stoksa na pryamougolnike”, Zh. vychisl. matem. i matem. fiz., 39:11 (1999), 1838–1864 (with I. I. Chechel) | MR

[34] Paltsev B. V., “O spektralnykh i approksimativnykh svoistvakh kubicheskikh konechno-elementnykh approksimatsii operatorov Laplasa i pervoi proizvodnoi. Periodicheskii sluchai”, Zh. vychisl. matem. i matem. fiz., 40:5 (2000), 754–774 (with V. O. Belash) | MR

[35] Paltsev B. V., “O tochnykh otsenkakh skorosti skhodimosti iteratsionnykh metodov s rasschepleniem granichnykh uslovii dlya sistemy tipa Stoksa v sloe s usloviem periodichnosti”, Zh. vychisl. matem. i matem. fiz., 40:12 (2000), 1823–1837 (with I. I. Chechel) | MR

[36] Paltsev B. V., “Optimizatsiya znachenii relaksatsionnykh parametrov odnoshagovogo varianta iteratsionnogo metoda s rasschepleniem granichnykh uslovii dlya sistemy Stoksa v sharovom sloe”, Vestn. RUDN, 8:2 (2001), 74–90

[37] Paltsev B. V., “O bikubicheskikh konechno-elementnykh realizatsiyakh metodov s rasschepleniem granichnykh uslovii dlya sistemy tipa Stoksa v polose pri uslovii periodichnosti”, Zh. vychisl. matem. i matem. fiz., 42:2 (2002), 197–221 (with V. O. Belash) | MR

[38] Paltsev B. V., “O podkhode razdelyayuschikh linii toka k obtekaemomu konturu v ploskoparallelnom potoke vyazkoi zhidkosti”, Izv. RAN. Mekhan. zhidkosti i gaza, 2002, no. 2, 76–89 (with Yu. D. Shmyglevskim) | MR

[39] Paltsev B. V., “On convergence rate of some iterative methods for bilinear and bicubic finite element schemes for the dissipative Helmholtz equation with large values of a singular parameter”, Russ. J. Numer. Anal. Math. Modelling, 17:6 (2002), 485–520 (with V. O. Belash, I. I. Chechel') | MR

[40] Paltsev B. V., “Asimptotika spektra integralnykh operatorov svertki na konechnom intervale s odnorodnymi polyarnymi yadrami”, Izv. RAN. Ser. matem., 67:4 (2003), 67–155 | MR

[41] Paltsev B. V., “O bystroskhodyaschikhsya iteratsionnykh metodakh s rasschepleniem granichnykh uslovii resheniya kraevykh zadach dlya linearizovannykh i nelineinoi sistem Nave–Stoksa”, Funktsionalnye prostranstva. Differentsialnye operatory. Problemy matematicheskogo obrazovaniya, Trudy II Mezhdunar. konferentsii, posvyaschennoi 80-letiyu chl.-korr. RAN, professora L. D. Kudryavtseva, Fizmatlit, M., 2003, 286–301 (with V. O. Belash, N. A. Meller, I. I. Chechel, E. G. Khlyupinoi)

[42] Paltsev B. V., “O konechno-elementnykh, tipa lineinykh, 2-go poryadka tochnosti vplot do polyusov, approksimatsiyakh operatorov Laplasa-Beltrami, gradienta i divergentsii na sfere v $\mathbb{R}^3$ v osesimmetrichnom sluchae”, Dokl. RAN, 395:3 (2004), 308–315 (with I. I. Chechel) | MR

[43] Paltsev B. V., “Konechno-elementnye realizatsii iteratsionnykh metodov s rasschepleniem granichnykh uslovii dlya sistem Stoksa i tipa Stoksa v sharovom sloe, obespechivayuschie 2-i poryadok tochnosti vplot do osi simmetrii”, Zh. vychisl. matem. i matem. fiz., 45:5 (2005), 846–889 (with I. I. Chechel) | MR

[44] Paltsev B. V., “Otdel vychislitelnykh metodov. (Dostizheniya otdela za 50 let)”, 50 let VTs RAN: Istoriya, Lyudi, Dostizheniya, VTs RAN, M., 2005, 53–80 (with A. A. Abramovym, A. I. Aleksandrovichem, N. B. Konyukhovoi)

[45] Paltsev B. V., “O metode 2-go poryadka tochnosti s rasschepleniem granichnykh uslovii resheniya statsionarnoi osesimmetrichnoi zadachi Nave–Stoksa v sharovykh sloyakh”, Zh. vychisl. matem. i matem. fiz., 45:12 (2005), 2232–2250 (with I. I. Chechel) | MR

[46] Paltsev B. V., “O skorosti skhodimosti i optimizatsii chislennogo metoda s rasschepleniem granichnykh uslovii dlya sistemy Stoksa v sharovom sloe v osesimmetrichnom sluchae. Modifikatsiya dlya tolstykh sloev”, Zh. vychisl. matem. i matem. fiz., 46:5 (2006), 858–886 (with I. I. Chechel) | MR

[47] Paltsev B. V., “Chislennoe issledovanie osnovnykh statsionarnykh sfericheskikh techenii Kuetta pri nebolshikh chislakh Reinoldsa”, Zh. vychisl. matem. i matem. fiz., 47:4 (2007), 693–716 (with A. V. Stavtsevym, I. I. Chechel) | MR

[48] Paltsev B. V., “Ob utochnennoi bikubicheskoi konechno-elementnoi approksimatsii zadachi Neimana dlya uravneniya Puassona”, Dokl. RAN, 419:4 (2008), 458–465 (with A. V. Stavtsevym, I. I. Chechel) | MR

[49] Paltsev B. V., “Ob odnom iteratsionnom metode s rasschepleniem granichnykh uslovii resheniya 1-oi nachalno-kraevoi zadachi dlya nestatsionarnoi sistemy Stoksa”, Tezisy dokl. Mezhdunar. konf., posvyaschennoi 100-letiyu S. L. Soboleva, Institut matematiki im. S. L. Soboleva SO RAN, Novosibirsk, 2008, 540

[50] Paltsev B. V., “Ob odnom metode s rasschepleniem granichnykh uslovii resheniya 1-oi kraevoi zadachi dlya nestatsionarnoi sistemy Stoksa i ego chislennykh realizatsiyakh”, Matematika v prilozheniyakh, Tezisy dokl. Vseros. konf., priurochennoi k 80-letiyu akademika S. K. Godunova, In-t matem. im. S. L. Soboleva SO RAN, Novosibirsk, 2009, 201–202 (with M. B. Solovevym)

[51] Paltsev B. V., “Ob odnom iteratsionnom metode s rasschepleniem granichnykh uslovii resheniya 1-oi nachalno-kraevoi zadachi dlya sistemy Stoksa”, Dokl. RAN, 432:5 (2010)