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@article{SEMR_2008_5_a37, author = {V. V. Vasin and V. N. Dubinin and V. G. Romanov}, title = {Concluding scientific report for the project of {Siberian} {Division} of {RAS:} {``A} development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting''}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {427--439}, publisher = {mathdoc}, volume = {5}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a37/} }
TY - JOUR AU - V. V. Vasin AU - V. N. Dubinin AU - V. G. Romanov TI - Concluding scientific report for the project of Siberian Division of RAS: ``A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting'' JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2008 SP - 427 EP - 439 VL - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2008_5_a37/ LA - ru ID - SEMR_2008_5_a37 ER -
%0 Journal Article %A V. V. Vasin %A V. N. Dubinin %A V. G. Romanov %T Concluding scientific report for the project of Siberian Division of RAS: ``A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting'' %J Sibirskie èlektronnye matematičeskie izvestiâ %D 2008 %P 427-439 %V 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/SEMR_2008_5_a37/ %G ru %F SEMR_2008_5_a37
V. V. Vasin; V. N. Dubinin; V. G. Romanov. Concluding scientific report for the project of Siberian Division of RAS: ``A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting''. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 427-439. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a37/
[1] Abasheeva N. L., “Lineinaya obratnaya zadacha dlya operatorno-differentsialnogo uravneniya s parametrom”, Neklassicheskie uravneniya matematicheskoi fiziki, Izd-vo In-ta matematiki, Novosibirsk, 2007, 5–14
[2] Akimova E. N., Vasin V. V., Perestoronina G. Ya., Timerkhanova L. Yu., Martyshko P. S., Koksharov D. E., “O regulyarnykh metodakh resheniya obratnykh zadach gravimetrii na mnogoprotsessornom vychislitelnom komplekse”, Vychislitelnye metody i programmirovanie, 8, no. 1, MGU, Moskva, 2007, 107–116
[3] Akimova E. N., Vasin V. V., Skorik G. G., “Reshenie obratnykh zadach magnitometrii i gravimetrii o vosstanovlenii razdelyayuschei poverkhnosti sred”, Materialy 35-i sessii mezhdunarodnogo seminara im. D. G. Uspenskogo “Voprosy teorii i praktiki geologicheskoi interpretatsii gravitatsionnykh, magnitnykh i elektricheskikh polei”, UGTU, Ukhta, 2008, 8–11
[4] Akimova E. N., Vasin V. V., Perestoronina G. Ya., Timerkhanova L. Yu., Martyshko P. S., Koksharov D. E., “O regulyarnykh metodakh resheniya obratnykh zadach gravimetrii na mnogoprotsessornom vychislitelnom komplekse”, Vychislitelnye metody i programmirovanie, 8, no. 1, MGU, Moskva, 2007, 107–116
[5] Akimova E. N., Vasin V. V., Perestoronina G. Ya., “Reshenie obratnoi zadachi magnitometrii s ispolzovaniem parallelnykh tekhnologii”, Materialy 33-i sessii Mezhdunarodnogo seminara im. D. G. Uspenskogo “Voprosy teorii i praktiki geologicheskoi interpretatsii gravitatsionnykh, magnitnykh i elektricheskikh polei”, IGF UrO RAN, Ekaterinburg, 2006, 447–450
[6] Akimova E. N., Vasin V. V., “Reshenie obratnoi zadachi magnitometrii na mnogoprotsessornom vychislitelnom komplekse MVS–1000”, Materialy 34-i sessii Mezhdunarodnogo seminara im. D. G. Uspenskogo “Voprosy teorii i praktiki geologicheskoi interpretatsii gravitatsionnykh, magnitnykh i elektricheskikh polei”, IFZ RAN, Moskva, 2007, 8–11
[7] Akimova E. N., Vasin V. V., Skorik G. G., “Reshenie obratnykh zadach magnitometrii i gravimetrii o vosstanovlenii razdelyayuschei poverkhnosti sred”, Materialy 35-i sessii mezhdunarodnogo seminara im. D. G. Uspenskogo “Voprosy teorii i praktiki geologicheskoi interpretatsii gravitatsionnykh, magnitnykh i elektricheskikh polei”, UGTU, Ukhta, 2008, 8–11
[8] Anikonov D. S., Prokhorov I. V., “Postanovka i chislennoe reshenie zadachi optimizatsii v rentgenovskoi tomografii”, ZhVM i MF, 46:1 (2006), 18–25 | MR | Zbl
[9] Anikonov D. S., Prokhorov I. V., “Vybor optimalnoi energii izlucheniya v zadache rentgenovskoi defektoskopii”, DAN, 408:4 (2006), 1–5 | MR
[10] Anikonov D. S., “Spetsialnaya zadacha integralnoi geometrii”, DAN, 415:1 (2007), 7–9 | MR | Zbl
[11] Anikonov D. S., “Indikator kontaktnykh granits dlya zadachi integralnoi geometrii”, SMZh, 49:4 (2008), 739–755 | MR | Zbl
[12] Anikonov D. S., “Ispolzovanie effekta rezonansa v rentgenovskoi tomografii”, DAN, 422:3 (2008), 1–4 | MR
[13] Anikonov Yu. E., Bogdanov V. V., Derevtsov E. Yu., Miroshnichenko V. L., Sapozhnikova N. A., “Chislennoe reshenie obratnoi kinematicheskoi zadachi seismiki s vnutrennimi istochnikami”, Sib. zh. industrialnoi matem., 9:4 (2006), 3–26 | MR
[14] Anikonov Yu. E., Ayupova N. B., Formuly dlya reshenii nachalno-kraevykh zadach i koeffitsientov uravnenii 2-go poryadka, Preprint No 171, Sib. otd-nie. In-t matematiki, Novosibirsk, 2006, 46 pp.
[15] Anikonov Yu. E., Neschadim M. V., “Tozhdestvo dlya priblizhennykh kvantovykh uravnenii i obratnye zadachi”, Sibirskii zhurnal industrialnoi matematiki, 2007, 3–9 | MR
[16] Arbuzov E. V., Bukhgeim A. L., “Formula Karlemana dlya uravneniya Gelmgoltsa na ploskosti”, Sib. matem. zh., 47:3 (2006), 518–526 | MR | Zbl
[17] Akimova E. N., Skorik G. G., “Regulyarnye metody resheniya obratnoi zadachi gravimetrii”, Sibirskie Elektronnye Matematicheskie Izvestiya, 5 (2008), 509–517 | MR
[18] Gribanov K. G., Zakharov V. I., Vasin V. V., “Iterativnaya regulyarizatsiya v zadache soderzhaniya $CO_2$ v atmosfere po dannym sputnikovogo zondirovaniya”, Algoritmicheskii analiz neustoichivykh zadach, Tez. mezhd. konf. (Ekaterinburg, 1–6 sentyabrya 2008 g.), Izd-vo Ural. un-ta, Ekaterinburg, 2008, 119–120
[19] Voronin A. F., “Integralnoe uravnenie pervogo roda v svertkakh na konechnom intervale s periodicheskim yadrom”, Sib. zhurnal industr. mat-ki, 11:1 (2008), 46–56 | MR
[20] Voronin A. F., “Neobkhodimye i dostatochnye usloviya korrektnosti dlya uravneniya vtorogo roda v svertkakh na konechnom intervale s chetnym yadrom”, Sib. matem. zhurnal, 49:4 (2008), 756–767 | MR | Zbl
[21] Voronin A. F., “Usloviya korrektnosti uravneniya vtorogo roda v svertkakh na konechnom intervale s chetnym yadrom”, DAN, 413:5 (2007), 594–595 | MR | Zbl
[22] Voronin A. F., “O korrektnosti kraevoi zadachi Rimana s matrichnym koeffitsientom”, DAN, 414:2 (2007), 156–158 | MR | Zbl
[23] Derevtsov E. Yu., Svetov I. E., Volkov Yu. S., “Ispolzovanie $B$-splainov v zadache emissionnoi $2D$-tomografii v refragiruyuschei srede”, Sib. zh. industrialnoi matem., 11 (2008), prinyata k pechati | MR
[24] Dubinin V. N., “Emkosti kondensatorov, obobscheniya lemm Gretsha i simmetrizatsiya”, Zap. nauchn. semin. POMI, 337, 2006, 73–100 | MR | Zbl
[25] Dubinin V. N., Prilepkina E. G., “O variatsionnykh printsipakh konformnykh otobrazhenii”, Algebra i analiz, 18:3 (2006), 39–62 | MR
[26] Dubinin V. N., “O primenenii lemmy Shvartsa k neravenstvam dlya tselykh funktsii s ogranicheniyami na nuli”, Zap. nauchn. semin. POMI, 337, 2006, 101–112 | MR | Zbl
[27] Dubinin V. N., “Neravenstva dlya kriticheskikh znachenii polinomov”, Matem. sbornik, 197:8 (2006), 63–72 | MR | Zbl
[28] Dubinin V. N., “Lemniskata i neravenstva dlya logarifmicheskoi emkosti kontinuuma”, Matem. zametki, 80:1 (2006), 33–37 | MR | Zbl
[29] Dubinin V. N., Kalmykov S. I., “Printsip mazhoratsii dlya meromorfnykh funktsii”, Matem. sbornik, 198:12 (2007), 37–46 | MR | Zbl
[30] Dubinin V. N., Kim V. Yu., “O pokrytii radialnykh otrezkov pri $p$-listnykh otobrazheniyakh kruga i koltsa”, Dalnevost. matem. zhurnal, 7:1–2 (2007), 40–47
[31] Dubinin V. N., Kim V. Yu., “Teoremy iskazheniya dlya regulyarnykh i ogranichennykh v kruge funktsii”, Zap. nauchn. semin. POMI, 350, 2007, 26–39
[32] Kabanikhin S. I., Iskakov K. T., Obratnye i nekorrektnye zadachi dlya giperbolicheskikh uravnenii, KazNPU, Almaty, 2007
[33] Kabanikhin S. I., Obratnye i nekorrektnye zadachi, Izdatelskii tsentr Akademiya, Moskva, 2008
[34] Karchevskii A. L., “Analiticheckoe peshenie upavnenii Makcvella v chactotnoi oblacti dlya gopizontalno-cloictyx anizotpopnyx cped”, Geologiya i Geofizika, 48:8 (2007), 889–898 | MR
[35] Karchevskii A. L., “Korrektnaya skhema deistvii pri chislennom reshenii obratnoi zadachi optimizatsionnym metodom”, Sibirskii zhurnal vychislitelnoi matematiki, 11:2 (2008), 139–149 | MR
[36] Kovtanyuk A. E., Prokhorov I. V., “Chislennoe reshenie obratnoi zadachi dlya uravneniya perenosa polyarizovannogo izlucheniya”, Sibirskii zhurnal vychislitelnoi matematiki, 11:1 (2008), 55–68 | Zbl
[37] Kozhanov A. I., “O razreshimosti pervoi nachalno-kraevoi zadachi dlya odnogo klassa vyrozhdayuschikhsya uravnenii sobolevskogo tipa vysokogo poryadka”, Neklassicheskie uravneniya matematicheskoi fiziki, Izd-vo IM SO RAN, Novosibirsk, 2007, 172–181 | MR
[38] Kozhanov A. I., Valitov I. R., “O razreshimosti nekotorykh giperbolicheskikh obratnykh zadach s dvumya neizvestnymi koeffitsientami”, Matematicheskie zametki YaGU, 14 (2007), 3–16 | MR
[39] Konovalov A. N., Tregubov I. A., Vserossiiskaya konf. po vych. matemat. KVM-2007, Novosibirsk, 2007
[40] Konovalova D. S., “Nekotorye svoistva reshenii uravneniya perenosa”, Differentsialnye uravneniya, 42:5 (2006), 684–689 | MR | Zbl
[41] Nazarov V. G., “Opredelenie khimicheskogo sostava i struktury neodnorodnoi sredy metodom rentgenovskoi tomografii”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 47:8 (2007), 1413–1422 | MR
[42] Neschadim M. V., “Nekotorye voprosy konstruktivnykh metodov v teorii obratnykh zadach”, Sibirskii zhurnal industrialnoi matematiki, 10 (2007), 101–109
[43] Prokhorov I. V., Yarovenko I. P., “Issledovanie zadach opticheskoi tomografii metodami teorii perenosa izlucheniya”, Optika i spektroskopiya, 101:5 (2006), 817–824
[44] Romanov V. G., “Otsenka ustoichivosti resheniya zadachi dlya uravnenii elektrodinamiki s dannymi na vremenipodobnoi poverkhnosti”, Doklady AN, 411:1 (2006), 16–19 | MR
[45] Romanov V. G., “Asimptoticheskoe razlozhenie resheniya sistemy uravnenii uprugosti s sosredotochennoi impulsnoi siloi”, Sibirskii zhurn. industr. matem., 11:3 (2008) | MR
[46] Sorokin S. B., “Poperemenno-treugolnyi metod v podprostranstve razreshimosti dlya chislennogo resheniya vyrozhdennoi zadachi Puassona”, Vestnik NGU (to appear)
[47] Yarovenko I. P., “Chislennoe reshenie kraevykh zadach dlya uravneniya perenosa izlucheniya v opticheskom diapazone”, Vychislitelnye metody i programmirovanie, 7 (2006), 93–104
[48] Anikonov Yu. E., “Selected formulas of the theory of inverse problems”, Journal of Inverse and Ill-Posed Problems, 15 (2007), 549–568 | DOI | MR | Zbl
[49] Anikonov Yu. E., Ayupova N. B., “Table of solutions and coefficient for second-order differential equations and inverse problems”, Journal of Inverse and Ill-Posed Problems, 15 (2007), 867–892 | DOI | MR
[50] Anikonov Yu. E., Bogdanov V. V., Derevtsov E. Yu., Miroshnichenko V. L., Pivovarova N. B., Slavina L. B., “Some approaches to a numerical solution for the multidimensional inverse kinematic problem of seismics with inner sources”, J. Inverse Ill-Posed Problems, 16 (2008) (to appear) | MR | Zbl
[51] Arbuzov E. V. and Bukhgeim A. L., “The Carleman formula for the Helmholtz equation on the plane”, Siberian Mathematical Journal, 47:3 (2006), 425–432 | DOI | MR | Zbl
[52] Arbuzov E. V. and Bukhgeim A. L., “The Cauchy problem for elliptic equation of second order on the plane”, J. Inv. Ill-Posed Problems, submitted
[53] Bondarenko A. N. Ivaschenko D. S., “Generalized Sommerfeld problem for time fractional diffusion equation: analytical and numerical approach”, J. Inv. Ill-Posed Problems, submitted
[54] Bondarenko A. N., Ivaschenko D. S., “Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient”, J. Inv. Ill-Posed Problems, submitted
[55] Bugueva T. V., “Multidimensional inverse problem for isotropic elasticity system in a sphere”, J. Inv. Ill-Posed Problems, 15:9 (2007), 893–934 | DOI | MR
[56] Bukhgeim A. L., Dyatlov G. V. and Uhlmann G., “Unique continuation for hyperbolic equations with memory”, J. Inv. Ill-Posed Problems, 15 (2007), 587–598 | DOI | MR | Zbl
[57] Derevtsov E. Yu., Kazantsev S. G., Schuster T., “Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions”, J. Inverse Ill-Posed Problems, 15:1 (2007), 1–38 | DOI | MR
[58] Derevtsov E. Yu., Svetov I. E., Volkov Yu. S. and Schuster T., “Numerical $B$-spline solution of emission and vector 2$D$-tomography problems for media with absorbtion and refraction”, Proceedings 2008 IEEE Region 8 International Conference on Computational Technologies in Electrical and Electronics Engineering SIBIRCON-08 (Novosibirsk, Russia, July 21–25, 2008), Novosibirsk Scientific Center, 212–217
[59] Dubinin V. N., Vuorinen M., Robin functions and distortion theorems for regular mappings, Preprint 454, Reports in Math. Depart. of Math. and Stat. Univ. of Helsinki, 2007, 21 pp.
[60] Dubinin V. N., Karp D. B., “Capacities of certain plane condensers and sets under simple geometrics transformations”, Complex Variables, 53:6 (2008), 607–622 | MR | Zbl
[61] Dubinin V. N., Vuorinen M., “On conformal modules of polygonal quadrilaterals”, Israel Journal Math., 2008, submitted | Zbl
[62] Dyatlov G. V., Gilev K. V., Semyanov K. A. and Maltsev V. P., “The Scanning Flow Cytometer Modified for Measurement of Two-Dimensional Light-Scattering Pattern of Individual Particles”, Meas. Sci. Technol., 19 (2008), 015408 | DOI
[63] Gribanov K. G., Toptygin A. Yu., Zakharov V. I., “Application of multilayer perceptron to high-resolution infrared measurement retrieval”, SPIE Proc., 6580 (2006), 65800R | DOI
[64] Kabanikhin S. I. and Shishlenin M. A., “The Gel'fand–Levitan–Krein method in an inverse acoustic problem”, Applicable Analysis, 2008, submitted | MR
[65] Kabanikhin S. I. and Shishlenin M. A., “Determination of some properties of the density in multidimensional inverse acoustic problem”, Journal of Physics: Conference Series, 2008, submitted
[66] Kazantsev S. G. and Bukhgeim A. A., “The Chebyshev ridge polynomials in 2D tensor tomography”, J. of Inverse and Ill-Posed Problems, 14:2 (2006), 157–188 | DOI | MR | Zbl
[67] Kovtanyuk A. E., Prokhorov I. V., “Tomography problem for the polarized-radiation transfer equation”, Journal Inverse and Ill-Posed Problems, 14:6 (2006), 609–620 | DOI | MR | Zbl
[68] Lavrent'ev M. M., Savel'ev L. J., Operator Theory and Ill-Posed Problems, Inverse and Ill-posed Problems Series, VSP, Leiden, 2006, 680 pp. | MR
[69] Neshchadim M. V., “Inverse problems for the Boltsmann–Vlasov kinetic equations representaation for solutions and coefficients”, Journal of Applied and Indusrial Mathematics, 1 (2007), 90–99 | DOI
[70] Prokhorov I. V., Yarovenko I. P. and Nazarov V. G., “Optical tomography problems at layered media, IOP Publishing LTD”, Inverse Problems, 24:2 (2008), 025019, 13 pp. | DOI | MR | Zbl
[71] Romanov V. G., “A stability estimate for the solution to the ill-posed Cauchy problem for elasticity equations”, J. of Inverse and Ill-Posed Problems, 16:6 (2008) | MR | Zbl
[72] Lorenzi A., Messina F. and Romanov V. G., “Recovering a Lamé kernel in a viscoelastic system”, Applicable Analysis, 86:11 (2007), 1375–1395 | DOI | MR | Zbl