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Publications in Math-Net.Ru |
Citations |
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2023 |
| 1. |
V. V. Vasin, “Fejér-Type Iterative Processes in the Constrained Quadratic Minimization Problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:3 (2023), 26–41    ; Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S305–S320  |
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2022 |
| 2. |
V. G. Romanov, V. V. Vedenyapin, V. V. Vasin, O. A. Kovyrkina, V. V. Ostapenko, V. F. Tishkin, I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “Erratum to: Several Articles in Doklady Mathematics”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 404–405 ; Dokl. Math., 106:2 (2022), 404–405 |
| 3. |
V. V. Vasin, “Solving nonlinear inverse problems based on the regularized modified Gauss–Newton method”, Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022), 47–50 ; Dokl. Math., 105:3 (2022), 175–177 |
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2020 |
| 4. |
V. V. Vasin, G. G. Skorik, “Two-stage method for solving systems of nonlinear equations and its applications to the inverse atmospheric sounding problem”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 17–20  ; Dokl. Math., 102:2 (2020), 367–370 |
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| 5. |
V. V. Vasin, “Iterative Fejér processes in ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020), 963–974 ; Comput. Math. Math. Phys., 60:6 (2020), 938–949  |
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2019 |
| 6. |
G. G. Skorik, V. V. Vasin, “Regularized Newton type method for retrieval of heavy water in atmosphere by IR�spectra of the solar light transmission”, Eurasian Journal of Mathematical and Computer Applications, 7:2 (2019), 79–88 |
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| 7. |
V. V. Vasin, V. V. Belyaev, “Analysis of a Regularization Algorithm for a Linear Operator Equation Containing a Discontinuous Component of the Solution”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019), 34–44 ; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S175–S184 |
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2018 |
| 8. |
V. V. Vasin, “Iterative processes for ill-posed problems with a monotone operator”, Mat. Tr., 21:2 (2018), 117–135 ; Siberian Adv. Math., 29 (2019), 217–229 |
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2017 |
| 9. |
V. V. Belyaev, V. V. Vasin, “Modification of the tikhonov method under separate reconstruction of components of solution with various properties”, Eurasian Journal of Mathematical and Computer Applications, 5:2 (2017), 66–79 |
| 10. |
V. V. Vasin, A. F. Skurydina, “A two-stage method of construction of regularizing algorithms for nonlinear ill-posed problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017), 57–74 ; Proc. Steklov Inst. Math. (Suppl.), 301, suppl. 1 (2018), 173–190 |
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2016 |
| 11. |
V. V. Vasin, “Methods for solving nonlinear ill-posed problems based on the Tikhonov-Lavrentiev regularization and iterative approximation”, Eurasian Journal of Mathematical and Computer Applications, 4:4 (2016), 60–73 |
| 12. |
V. V. Vasin, G. G. Skorik, “Solution of the deconvolution problem in the general statement”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016), 79–90 ; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 211–222 |
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2014 |
| 13. |
V. V. Vasin, E. O. Soboleva, “Separate reconstruction of solution components with singularities of various types for linear operator equations of the first kind”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014), 63–73 ; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 216–226 |
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2013 |
| 14. |
V. V. Vasin, “Modified Newton-type processes generating Fejér approximations of regularized solutions to nonlinear equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013), 85–97 ; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 145–158 |
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| 15. |
V. V. Vasin, E. N. Akimova, A. F. Miniakhmetova, “Iterative Newton Type Algorithms and Its Applications to Inverse Gravimetry Problem”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:3 (2013), 26–37 |
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2012 |
| 16. |
V. V. Vasin, “The Levenberg–Marquardt method for approximation of solutions of irregular operator equations”, Avtomat. i Telemekh., 2012, no. 3, 28–38 ; Autom. Remote Control, 73:3 (2012), 440–449 |
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2011 |
| 17. |
V. V. Vasin, G. Ya. Perestoronina, “Levenberg–Marquardt method and its modified versions for solving nonlinear equations with application to the inverse gravimetry problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011), 53–61 ; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 174–182 |
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2009 |
| 18. |
V. V. Vasin, “Iterative processes of the Fejér type in ill-posed problems with a prori information”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 2, 3–24 ; Russian Math. (Iz. VUZ), 53:2 (2009), 1–20 |
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2008 |
| 19. |
V. V. Vasin, E. N. Akimova, G. Ya. Perestoronina, P. S. Martyshko, V. A. P'yankov, “Methods for inverse magnitometry problem solving”, Sib. Èlektron. Mat. Izv., 5 (2008), 620–631 |
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| 20. |
V. V. Vasin, K. G. Gribanov, V. I. Zakharov, “The inverse problem of atmosphere thermal sounding”, Sib. Èlektron. Mat. Izv., 5 (2008), 518–523 |
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| 21. |
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””, Sib. Èlektron. Mat. Izv., 5 (2008), 427–439 |
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2007 |
| 22. |
E. N. Akimova, V. V. Vasin, G. Ya. Perestoronina, L. Yu. Timerkhanova, P. S. Martyshko, D. Y. Koksharov, “On regular methods for solving the inverse gravity problems on massively parallel computing systems”, Num. Meth. Prog., 8:1 (2007), 103–112 |
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2006 |
| 23. |
V. V. Vasin, “Approximation of nonsmooth solutions of linear ill-posed problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006), 64–77 ; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S247–S262 |
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2004 |
| 24. |
V. V. Vasin, T. I. Serezhnikova, “Two-stage approximation of nonsmooth solutions and restoration of noised images”, Avtomat. i Telemekh., 2004, no. 2, 126–135 ; Autom. Remote Control, 65:2 (2004), 270–279 |
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| 25. |
A. L. Ageev, T. V. Antonova, E. N. Bessonova, V. V. Vasin, “Direct and inverse problems of oblique radiosounding of ionosphere with waveguids”, Matem. Mod., 16:3 (2004), 22–32 |
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2003 |
| 26. |
V. V. Vasin, G. Ya. Perestoronina, I. L. Prutkin, L. Yu. Timerkhanova, “Solution of gravity and magnetic three-dimensional inverse problems for three-layers medium”, Matem. Mod., 15:2 (2003), 69–76 |
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2002 |
| 27. |
A. L. Ageev, T. V. Antonova, E. N. Bessonova, V. V. Vasin, V. M. Markushevich, “Algorithms for solving direct and inverse problems of oblique radio-sounding ionosphere”, Matem. Mod., 14:11 (2002), 23–32 |
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| 28. |
V. V. Vasin, “Regularization and iterative approximation for linear ill-posed problems in the space of functions of bounded variation”, Trudy Inst. Mat. i Mekh. UrO RAN, 8:1 (2002), 189–202 ; Proc. Steklov Inst. Math. (Suppl.), 2002no. , suppl. 1, S225–S239 |
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2001 |
| 29. |
V. V. Vasin, T. I. Serezhnikova, “On an algorithm for solving the Fredholm–Stieltjes equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 4, 3–10 ; Russian Math. (Iz. VUZ), 45:4 (2001), 1–8 |
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1999 |
| 30. |
V. V. Vasin, I. L. Prutkin, L. Yu. Timerkhanova, “Solving nonlinear gravity inverse problem by gradient type methods”, Matem. Mod., 11:10 (1999), 86–91 |
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1996 |
| 31. |
V. V. Vasin, “Monotone iterative processes for operator equations in partially
ordered spaces”, Dokl. Akad. Nauk, 349:1 (1996), 7–9 |
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1995 |
| 32. |
V. V. Vasin, “Iterative regularization of monotone operator equations of the
first kind in partially ordered $B$-spaces”, Dokl. Akad. Nauk, 341:2 (1995), 151–154 |
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| 33. |
V. V. Vasin, “Iterative regularization methods for ill-posed problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 11, 69–84 ; Russian Math. (Iz. VUZ), 39:11 (1995), 64–78 |
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1991 |
| 34. |
V. V. Vasin, “Iterative approximation of the solution in a finite moment
problem”, Dokl. Akad. Nauk SSSR, 318:5 (1991), 1042–1045 ; Dokl. Math., 43:3 (1991), 821–825 |
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1988 |
| 35. |
V. V. Vasin, “Iterative methods for solving ill-posed problems with a priori information in Hilbert spaces”, Zh. Vychisl. Mat. Mat. Fiz., 28:7 (1988), 971–980 ; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 6–13 |
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1983 |
| 36. |
V. V. Vasin, A. F. Sidorov, “Some methods of approximate solution of differential and integral equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 7, 13–27 ; Soviet Math. (Iz. VUZ), 27:7 (1983), 14–33 |
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1982 |
| 37. |
V. V. Vasin, “Stable discretization of extremal problems and its applications in mathematical programming”, Mat. Zametki, 31:2 (1982), 269–280 ; Math. Notes, 31:2 (1982), 138–144 |
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| 38. |
V. V. Vasin, “Discrete approximation and stability in extremal problems”, Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982), 824–839 ; U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 57–74 |
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1981 |
| 39. |
V. V. Vasin, “A general scheme for discretization of regularizing algorithms in Banach spaces”, Dokl. Akad. Nauk SSSR, 258:2 (1981), 271–275 |
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1979 |
| 40. |
V. V. Vasin, “Discrete convergence and finite-dimensional approximation of regularizing algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 11–21 ; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 8–19 |
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1978 |
| 41. |
V. V. Vasin, “Stable approximation of infinite-dimensional problems of linear and convex programming”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 11, 23–33 ; Soviet Math. (Iz. VUZ), 22:11 (1978), 15–22 |
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1977 |
| 42. |
V. V. Vasin, “Optimality with respect to order of the regularization method for nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 17:4 (1977), 847–858 ; U.S.S.R. Comput. Math. Math. Phys., 17:4 (1977), 34–45 |
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1975 |
| 43. |
V. V. Vasin, V. P. Tanana, “The stability of projection methods in the solution of ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975), 19–29 ; U.S.S.R. Comput. Math. Math. Phys., 15:1 (1975), 16–26 |
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1974 |
| 44. |
V. V. Vasin, V. P. Tanana, “Necessary and sufficient conditions for convergence of projection methods for linear unstable problems”, Dokl. Akad. Nauk SSSR, 215:5 (1974), 1032–1034 |
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1973 |
| 45. |
V. V. Vasin, “The stable evaluation of a derivative in space $C(-\infty,\infty)$”, Zh. Vychisl. Mat. Mat. Fiz., 13:6 (1973), 1383–1389 ; U.S.S.R. Comput. Math. Math. Phys., 13:6 (1973), 16–24 |
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1972 |
| 46. |
V. V. Vasin, “On the problem of computing the values of an unbounded operator in $B$-spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 5, 22–28 |
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| 47. |
V. V. Vasin, “The $\beta $-convergence of the projection method for nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972), 492–497 ; U.S.S.R. Comput. Math. Math. Phys., 12:2 (1972), 266–274 |
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1971 |
| 48. |
V. V. Vasin, “A certain projection method of solution of ill-posed problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 11, 28–32 |
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1970 |
| 49. |
V. V. Vasin, “Relationship of several variational methods for the approximate solution of ill-posed problems”, Mat. Zametki, 7:3 (1970), 265–272 ; Math. Notes, 7:3 (1970), 161–165 |
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1968 |
| 50. |
V. V. Vasin, “Regularization of nonlinear partial differential equations”, Differ. Uravn., 4:12 (1968), 2268–2274 |
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2022 |
| 51. |
R. R. Akopyan, N. Yu. Antonov, V. V. Arestov, A. G. Babenko, N. V. Baidakova, V. I. Berdyshev, V. V. Vasin, S. I. Novikov, N. L. Patsko, A. G. Chentsov, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (A Tribute to His Memory)”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022), 9–16 ; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S1–S6 |
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2021 |
| 52. |
N. R. Abubakirov, F. G. Avkhadiev, A. V. Aminova, M. M. Arslanov, A. M. Bikchentaev, V. V. Vasin, F. N. Garif'yanov, A. M. Denisov, A. M. Elizarov, N. K. Zamov, B. A. Kats, O. A. Kashina, D. V. Maklakov, V. P. Maksimov, S. R. Nasyrov, N. I. Popov, L. G. Salekhov, R. B. Salimov, S. G. Samko, N. Temirgaliev, E. A. Turilova, Yu. E. Hohlov, P. L. Shabalin, L. N. Shevrin, A. N. Sherstnev, E. A. Shirokova, V. V. Shurygin, “Leonid Aleksandrovich Aksent'ev”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3, 98–100 |
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2014 |
| 53. |
V. I. Berdyshev, V. V. Vasin, S. V. Matveev, A. A. Makhnev, Yu. N. Subbotin, N. N. Subbotina, V. N. Ushakov, M. Yu. Khachai, A. G. Chentsov, “Ivan Ivanovich Eremin”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014), 5–12 ; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 1–8 |
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2012 |
| 54. |
A. L. Ageev, V. V. Arestov, V. V. Vasin, “International conference “Algorithmic analysis of unstable problems (AAUP-2011)””, Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012), 329–333 |
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2011 |
| 55. |
N. N. Krasovskii, I. I. Eremin, A. M. Il'in, A. V. Kryazhimskii, A. B. Kurzhanskii, V. I. Berdyshev, V. V. Vasin, A. A. Makhnev, S. V. Matveev, Yu. N. Subbotin, A. G. Chentsov, V. N. Ushakov, V. V. Kabanov, V. I. Maksimov, “To the 75th anniversary of academician of Russian Academy of Sciences Yu. S. Osipov”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011), 5–6 ; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S1–S3 |
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2009 |
| 56. |
V. V. Vasin, “On the history of the Ural Conference on Ill-Posed Problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009), 279–281 ; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S283–S285 |
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2007 |
| 57. |
V. I. Berdyshev, V. V. Vasin, A. A. Makhnev, Yu. N. Subbotin, “On the collaboration of Siberian and Ural mathematicians”, Sib. Èlektron. Mat. Izv., 4 (2007), 22–27 |
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| 58. |
V. V. Vasin, S. I. Kabanikhin, V. G. Romanov, “Academician M. M. Lavrent'ev (on the occasion of his 75th birthday)”, Sib. Zh. Ind. Mat., 10:3 (2007), 3–12 |
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1993 |
| 59. |
M. M. Lavrent'ev, N. N. Krasovskii, Yu. S. Osipov, A. N. Tikhonov, V. V. Vasin, K. N. Gur'yanova, I. V. Mel'nikova, “Valentin Konstantinovich Ivanov (obituary)”, Uspekhi Mat. Nauk, 48:5(293) (1993), 147–152 ; Russian Math. Surveys, 48:5 (1993), 147–153 |
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1988 |
| 60. |
L. N. Shevrin, V. V. Vasin, I. V. Mel'nikova, V. P. Tanana, “Valentin Konstantinovich Ivanov (on the occasion of his eightieth birthday)”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 10, 3–4 |
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