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Il'in, Valery Pavlovich
Statistics Math-Net.Ru
Total publications: 72
Scientific articles: 68
Talks: 2

Number of views:
This page:6904
Abstract pages:33980
Full texts:14337
Talk pages:949
Video records:153
Professor
Doctor of physico-mathematical sciences (1977)
E-mail: ,
Website: https://icmmg.nsc.ru/ru/content/employees/ilin-valeriy-pavlovich
Keywords: computational algebra, solution of differential and integral equations, parallelezation of algorithms, mathematical modelling, computational electrophysics, applied numerical software.
   
Main publications:
  • Chislennye metody resheniya zadach elektrofiziki / V. P. Ilin. - Moskva : Nauka, 1985. - 334 s.
  • Algebraicheskie osnovy chislennogo analiza / V. P. Ilin, Yu. I. Kuznetsov ; otv. red. V. V. Smelov ; AN SSSR, Sib. otd-nie, VTs. - Novosibirsk : Nauka : Sib. otd-nie, 1986. - 179 s.
  • Metody konechnykh raznostei i konechnykh ob'emov dlya ellipticheskikh uravnenii / V.P. Ilin. - Novosibirsk : Izd-vo In-ta matematiki, 2000. - 344 s. : il.; 20 sm.; ISBN 5-86134-087-0
  • Metody i tekhnologii konechnykh elementov / V. P. Ilin ; Rossiiskaya akad. nauk, Sibirskoe otd-nie, In-t vychislitelnoi matematiki i mat. geofiziki. - Novosibirsk : IVMiMG SO RAN, 2007. - 370 s. : il.; 22 sm.; ISBN 978-5-901548-30-1

https://www.mathnet.ru/eng/person28253
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/351643
https://elibrary.ru/author_items.asp?authorid=1942
https://orcid.org/0000-0001-8827-2630

Publications in Math-Net.Ru Citations
2025
1. A. M. Gurin, V. P. Il'in, D. I. Kozlov, E. A. Kuz'min, “On the iterative solution of the Stokes problem”, Sib. Èlektron. Mat. Izv., 22:1 (2025),  102–120  mathnet
2. V. P. Il'in, V. N. Babenko, “On the influence of disturbances on the accuracy of computing corrections in the Krylov subspace”, Sib. Zh. Ind. Mat., 28:1 (2025),  5–14  mathnet; J. Appl. Industr. Math., 19:1 (2025), 51–58
3. V. P. Il'in, “Algebraic-geometric multigrid methods of domain decomposition”, Sib. Zh. Vychisl. Mat., 28:2 (2025),  171–183  mathnet
4. V. P. Il'in, “Multigrid methods of macro-grid domain decomposition”, Zh. Vychisl. Mat. Mat. Fiz., 65:6 (2025),  875–887  mathnet  elib; Comput. Math. Math. Phys., 65:6 (2025), 1220–1231 1
2022
5. V. P. Ilin, “Multigrid methods of incomplete factorization in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 514 (2022),  61–76  mathnet
2021
6. V. P. Il'in, “Iterative preconditioned methods in Krylov spaces: trends of the 21st Century”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1786–1813  mathnet  elib; Comput. Math. Math. Phys., 61:11 (2021), 1750–1775  isi  scopus 12
2020
7. V. P. Il'in, “On moment methods in Krylov subspaces”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  38–43  mathnet  zmath  elib; Dokl. Math., 102:3 (2020), 478–482
8. N. I. Gorbenko, V. P. Il'in, A. M. Krylov, L. L. Frumin, “The numerical solution of the direct Zakharov–Shabat scattering problem”, Sib. Zh. Vychisl. Mat., 23:2 (2020),  117–125  mathnet  elib; Num. Anal. Appl., 13:2 (2020), 95–102  isi 2
9. V. P. Il'in, “Parallel changing triangular iterative methods in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 496 (2020),  104–119  mathnet 1
10. Y. L. Gurieva, V. P. Il'in, “Conjugate direction methods for multiple solution of SLAEs”, Zap. Nauchn. Sem. POMI, 496 (2020),  26–42  mathnet 2
2019
11. V. P. Il'in, G. Yu. Kazantsev, “Iterative solution of saddle-point SLAEs”, Zap. Nauchn. Sem. POMI, 482 (2019),  135–150  mathnet
12. Ya. L. Gurieva, V. P. Il'in, A. V. Petukhov, “Multigrid methods for solving two-dimensional boundary-value problems”, Zap. Nauchn. Sem. POMI, 482 (2019),  13–27  mathnet 1
2018
13. V. I. Vasil'ev, M. V. Vasil'eva, V. S. Gladkikh, V. P. Ilin, D. Ya. Nikiforov, D. V. Perevozkin, G. A. Prokop'ev, “Numerical solution of a fluid filtration problem in a fractured medium by using the domain decomposition method”, Sib. Zh. Ind. Mat., 21:4 (2018),  15–27  mathnet  elib; J. Appl. Industr. Math., 12:4 (2018), 785–796  elib  scopus 12
14. V. P. Il'in, “Projection methods in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 472 (2018),  103–119  mathnet 2
2017
15. V. P. Il'in, “Two-level least squares methods in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 463 (2017),  224–239  mathnet; J. Math. Sci. (N. Y.), 232:6 (2018), 892–902  scopus 8
16. Y. L. Gurieva, V. P. Il'in, “On coarse grid correction methods in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 463 (2017),  44–57  mathnet; J. Math. Sci. (N. Y.), 232:6 (2018), 774–782  scopus 3
2016
17. A. O. Savchenko, V. P. Il'in, D. S. Butyugin, “A method of solving an exterior three-dimensional boundary value problem for the Laplace equation”, Sib. Zh. Ind. Mat., 19:2 (2016),  88–99  mathnet  mathscinet  elib; J. Appl. Industr. Math., 10:2 (2016), 277–287  scopus 5
18. Ya. L. Gur'eva, V. P. Il'in, D. V. Perevozkin, “Algebraic-geometric and information structures of domain decomposition methods”, Num. Meth. Prog., 17:2 (2016),  132–146  mathnet
19. V. P. Il'in, “Least squares methods in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 453 (2016),  131–147  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:6 (2017), 900–910  scopus 4
20. V. P. Il'in, “Iterative processes in Krylov–Sonneveld subspaces”, Zap. Nauchn. Sem. POMI, 453 (2016),  114–130  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:6 (2017), 890–899  scopus 4
2015
21. Ya. L. Gur'eva, V. P. Il'in, “On acceleration technologies of parallel decomposition methods”, Num. Meth. Prog., 16:1 (2015),  146–154  mathnet
22. V. P. Il'in, “On the program components of the mathematical modelling”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 4:3 (2015),  85–94  mathnet  elib
23. V. P. Il'in, “Problems of parallel solution of large systems of linear algebraic equations”, Zap. Nauchn. Sem. POMI, 439 (2015),  112–127  mathnet  mathscinet; J. Math. Sci. (N. Y.), 216:6 (2016), 795–804  scopus 25
24. N. I. Gorbenko, V. P. Il'in, “The additive Peaceman–Rachford method”, Zap. Nauchn. Sem. POMI, 439 (2015),  47–58  mathnet  mathscinet; J. Math. Sci. (N. Y.), 216:6 (2016), 753–760  scopus 1
2014
25. V. P. Il'in, D. V. Perevozkin, “On some variants of domain decomposition methods”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 3:2 (2014),  5–19  mathnet
26. V. P. Il'in, “On some “over-cloud” problems of mathematical modelling”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 3:1 (2014),  68–79  mathnet
27. Y. L. Gurieva, V. P. Il'in, “Some parallel methods and technologies of domain decomposition”, Zap. Nauchn. Sem. POMI, 428 (2014),  89–106  mathnet; J. Math. Sci. (N. Y.), 207:5 (2015), 724–735  scopus 6
2013
28. V. P. Il'in, “DELAUNAY: a technological environment for grid generation”, Sib. Zh. Ind. Mat., 16:2 (2013),  83–97  mathnet  mathscinet 4
29. D. S. Butyugin, Ya. L. Guryeva, V. P. Il'in, D. V. Perevozkin, A. V. Petukhov, I. N. Skopin, “Parallel algebraic solvers library Krylov”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2:3 (2013),  92–105  mathnet 1
30. V. P. Il'in, “On the questions of parallelized Krylov’s iterative methods”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2:3 (2013),  48–62  mathnet
2012
31. V. G. Gasenko, G. V. Demidov, V. P. Il'in, I. A. Shmakov, “Modeling of wave processes in a vapor-liquid medium”, Sib. Zh. Vychisl. Mat., 15:3 (2012),  261–270  mathnet  elib; Num. Anal. Appl., 5:3 (2012), 213–221  scopus 1
32. D. S. Butyugin, V. P. Il'in, D. V. Perevozkin, “Parallel methods for SLAE solution on the systems with distributed memory in Krylov library”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2012, no. 2,  22–36  mathnet 1
33. V. P. Il'in, “Parallel methods and technologies of domain decomposition”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2012, no. 1,  31–44  mathnet
2011
34. V. P. Il'in, K. G. Morgunov, A. N. Chaiko, “On the interior point method for solving thermodynamic equilibrium problems”, Sib. Zh. Ind. Mat., 14:2 (2011),  69–77  mathnet  mathscinet
35. V. P. Il'in, D. V. Knysh, “Parallel decomposition methods in trace spaces”, Num. Meth. Prog., 12:1 (2011),  110–119  mathnet 5
36. V. P. Il'in, “Parallel processes at the stages of petaflops modeling”, Num. Meth. Prog., 12:1 (2011),  103–109  mathnet 3
2010
37. V. P. Iliyn, “The exaproblems of mathematical modeling”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2010, no. 6,  29–40  mathnet 1
2009
38. V. P. Il'in, D. Yu. Tribis, “Geometric informatics of continuous medium models”, Num. Meth. Prog., 10:3 (2009),  306–313  mathnet 1
39. V. P. Il'in, “The problems of high performance technologies for solving large sparse linear systems”, Num. Meth. Prog., 10:1 (2009),  141–147  mathnet 3
2008
40. V. P. Il'in, “Методы бисопряженных направлений в подпространствах Крылова”, Sib. Zh. Ind. Mat., 11:4 (2008),  47–60  mathnet  mathscinet; J. Appl. Industr. Math., 4:1 (2010), 65–78 11
2007
41. V. P. Il'in, E. A. Itskovich, “Semi-conjugate direction methods with dynamic preconditioning”, Sib. Zh. Ind. Mat., 10:4 (2007),  41–54  mathnet  mathscinet; J. Appl. Industr. Math., 3:2 (2009), 222–233 7
2006
42. V. P. Il'in, “On Kaczmarz's iterative method and its generalizations”, Sib. Zh. Ind. Mat., 9:3 (2006),  39–49  mathnet  mathscinet; J. Appl. Industr. Math., 2:3 (2008), 357–366 14
2003
43. Ya. L. Gur'eva, V. P. Il'in, “On the numerical solution of three-dimensional diffusion-convective boundary value problems”, Sib. Zh. Ind. Mat., 6:1 (2003),  27–34  mathnet  mathscinet  zmath
44. V. P. Il'in, “On the numerical solution of direct and inverse problems of geoelectromagnetic exploration”, Sib. Zh. Vychisl. Mat., 6:4 (2003),  381–394  mathnet  zmath 6
2001
45. A. V. Gavrilov, Ya. L. Gur'eva, V. P. Il'in, E. A. Itskovich, “Modeling fields in an axially symmetric medium”, Sib. Zh. Ind. Mat., 4:1 (2001),  38–51  mathnet  mathscinet  zmath 2
46. V. P. Il'in, V. N. Popov, “On compact difference schemes for the heat equation”, Zh. Vychisl. Mat. Mat. Fiz., 41:10 (2001),  1613–1616  mathnet  zmath; Comput. Math. Math. Phys., 41:10 (2001), 1534–1537
47. V. P. Il'in, V. L. Nefëdov, “The diagonal transfer method ($TS$ algorithm) for five-point equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:2 (2001),  186–199  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:2 (2001), 167–179 1
2000
48. V. P. Il'in, V. M. Sveshnikov, V. S. Synakh, “On grid technologies for two-dimensional boundary value problems”, Sib. Zh. Ind. Mat., 3:1 (2000),  124–136  mathnet  mathscinet  zmath 2
1998
49. V. P. Il'in, K. Yu. Laevskii, “On incomplete factorization methods with generalized compensation”, Sib. Zh. Vychisl. Mat., 1:4 (1998),  321–336  mathnet  zmath
50. Ya. L. Gur'eva, V. P. Il'in, “Computational aspects of finite volume methods”, Zh. Vychisl. Mat. Mat. Fiz., 38:11 (1998),  1860–1876  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:11 (1998), 1783–1800 1
1997
51. V. P. Il'in, “Parallel implicit methods of alternating directions”, Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  899–907  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:8 (1997), 871–878 3
1996
52. V. P. Il'in, “Balance approximations of multiple precision for the Poisson equation”, Sibirsk. Mat. Zh., 37:1 (1996),  151–169  mathnet  mathscinet  zmath; Siberian Math. J., 37:1 (1996), 130–146  isi 15
1994
53. V. P. Il'in, V. I. Karnachuk, M. R. Larin, “Tree organization of the data structure for Cholesky factorization”, Zh. Vychisl. Mat. Mat. Fiz., 34:12 (1994),  1747–1756  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:12 (1994), 1503–1510  isi 1
54. V. P. Il'in, I. Z. Livshits, “A symmetrized Stone's method”, Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1558–1566  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:11 (1994), 1341–1348  isi
1993
55. V. P. Il'in, “The rate of convergence of iterations of implicit incomplete factorization methods”, Zh. Vychisl. Mat. Mat. Fiz., 33:1 (1993),  3–11  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:1 (1993), 1–7  isi 2
1991
56. V. P. Il'in, “Incomplete factorization methods for solving parabolic equations”, Dokl. Akad. Nauk SSSR, 318:6 (1991),  1304–1308  mathnet  mathscinet  zmath; Dokl. Math., 43:3 (1991), 915–918 1
1990
57. V. P. Il'in, “On imbedding theory for anisotropic classes of functions with power smoothness and a metric of $L_p$ type”, Trudy Mat. Inst. Steklov., 192 (1990),  68–84  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 192 (1992), 73–90
1988
58. V. P. Il'in, “The rate of convergence of iterative incomplete factorization methods”, Dokl. Akad. Nauk SSSR, 301:3 (1988),  533–536  mathnet  mathscinet  zmath; Dokl. Math., 38:1 (1989), 102–106
59. V. P. Il'in, S. A. Sander, “A diagonal connection shift method for solving five-point network equations”, Dokl. Akad. Nauk SSSR, 299:2 (1988),  277–280  mathnet  mathscinet  zmath; Dokl. Math., 37:2 (1988), 369–372 1
1985
60. V. P. Il'in, “A variant of the multigrid method”, Sibirsk. Mat. Zh., 26:2 (1985),  102–107  mathnet  mathscinet  zmath; Siberian Math. J., 26:2 (1985), 240–244  isi 5
61. V. P. Il'in, “Superimplicit iteration methods for solving systems of equations with block tridiagonal matrices”, Sibirsk. Mat. Zh., 26:1 (1985),  83–89  mathnet  mathscinet  zmath; Siberian Math. J., 26:1 (1985), 65–70  isi
1978
62. V. P. Il'in, L. V. Yausheva, “Numerical solution of the two-dimensional problem of directed crystallization”, Prikl. Mekh. Tekh. Fiz., 19:4 (1978),  163–166  mathnet; J. Appl. Mech. Tech. Phys., 19:4 (1978), 553–556
63. B. I. Golubtsov, V. P. Il'in, “A difference approximation of the Poisson equation on nonuniform rectangular nets”, Sibirsk. Mat. Zh., 19:3 (1978),  564–570  mathnet  mathscinet  zmath; Siberian Math. J., 19:3 (1978), 396–400  isi
64. V. P. Il'in, “Spline solutions of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  620–627  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:3 (1978), 92–99 4
1976
65. V. P. Il'in, “Some estimates for conjugate gradient methods”, Zh. Vychisl. Mat. Mat. Fiz., 16:4 (1976),  847–855  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:4 (1976), 22–30 5
1975
66. B. S. Elepov, V. P. Il'in, “Combining difference algorithms with the Monte Carlo method”, Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975),  384–390  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:2 (1975), 99–104 1
1974
67. I. M. Bleivas, V. P. Il'in, V. M. Sveshnikov, “Numerical calculation of nonstationary gharged-particle beams”, Prikl. Mekh. Tekh. Fiz., 15:6 (1974),  31–39  mathnet; J. Appl. Mech. Tech. Phys., 15:6 (1974), 754–761
1956
68. V. P. Il'in, “Generalization of an integral inequality”, Uspekhi Mat. Nauk, 11:4(70) (1956),  131–138  mathnet  mathscinet  zmath 1
2025
69. B. N. Chetverushkin, S. I. Kabanikhin, G. G. Lazareva, V. M. Goloviznin, Ya. Efendiev, P. N. Vabishchevich, T. Jiang, A. Hasanoglu, M. A. Bektemesov, M. A. Shishlenin, V. P. Il'in, “Vasiliy Ivanovich Vasil'ev (on his 75-th birthday)”, Sib. Èlektron. Mat. Izv., 22:1 (2025),  1–3  mathnet
2000
70. V. P. Il'in, A. G. Marchuk, Ya. I. Fet, “Lavrentyev: the historical role in the computerization of our country”, Sib. Zh. Vychisl. Mat., 3:4 (2000),  299–303  mathnet  zmath
71. A. S. Alekseev, G. A. Mikhailov, V. P. Il'in, “Gurii Ivanovich Marchuk (on the occasion of his 75th birthday)”, Sib. Zh. Vychisl. Mat., 3:2 (2000),  89–95  mathnet  zmath
1995
72. A. S. Aleksev, S. K. Godunov, V. P. Dymnikov, V. P. Il'in, A. N. Konovalov, V. I. Kuzin, M. M. Lavrent'ev, V. V. Smelov, G. A. Mikhailov, V. G. Romanov, “Gurii Ivanovich Marchuk (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 36:3 (1995),  483–487  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Интегрированные многосеточные методы декомпозиции областей для решения многомерных сеточных задач
V. P. Il'in
The Sixth International Conference "Supercomputer Technologies of Mathematical Modelling" (SCTeMM'25)
July 15, 2025 16:30   
2. О фундаментальных проблемах математического моделирования
V. P. Il'in
Междкнародная конференция, посвященная 90-летию со дня рождения Г. И. Марчука "Современные проблемы вычислительной математики и математического моделирования"
June 9, 2015 18:00   

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