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Il'in, Valery Pavlovich
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

Publications in Math-Net.Ru Citations
2025
1. 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
2. V. P. Il'in, “Algebraic-geometric multigrid methods of domain decomposition”, Sib. Zh. Vychisl. Mat., 28:2 (2025),  171–183  mathnet
3. 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
2022
4. V. P. Ilin, “Multigrid methods of incomplete factorization in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 514 (2022),  61–76  mathnet
2021
5. 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 9
2020
6. 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
7. 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 1
8. V. P. Il'in, “Parallel changing triangular iterative methods in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 496 (2020),  104–119  mathnet 1
9. 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
10. V. P. Il'in, G. Yu. Kazantsev, “Iterative solution of saddle-point SLAEs”, Zap. Nauchn. Sem. POMI, 482 (2019),  135–150  mathnet
11. 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
12. 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
13. V. P. Il'in, “Projection methods in Krylov subspaces”, Zap. Nauchn. Sem. POMI, 472 (2018),  103–119  mathnet 1
2017
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. Ya. L. Gur'eva, V. P. Il'in, “On acceleration technologies of parallel decomposition methods”, Num. Meth. Prog., 16:1 (2015),  146–154  mathnet
21. 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
22. 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
23. 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
24. 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
25. V. P. Il'in, “On some “over-cloud” problems of mathematical modelling”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 3:1 (2014),  68–79  mathnet
26. 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
27. V. P. Il'in, “DELAUNAY: a technological environment for grid generation”, Sib. Zh. Ind. Mat., 16:2 (2013),  83–97  mathnet  mathscinet 4
28. 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
29. 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
30. 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
31. 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
32. V. P. Il'in, “Parallel methods and technologies of domain decomposition”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2012, no. 1,  31–44  mathnet
2011
33. 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
34. V. P. Il'in, D. V. Knysh, “Parallel decomposition methods in trace spaces”, Num. Meth. Prog., 12:1 (2011),  110–119  mathnet 4
35. V. P. Il'in, “Parallel processes at the stages of petaflops modeling”, Num. Meth. Prog., 12:1 (2011),  103–109  mathnet 3
2010
36. V. P. Iliyn, “The exaproblems of mathematical modeling”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2010, no. 6,  29–40  mathnet 1
2009
37. V. P. Il'in, D. Yu. Tribis, “Geometric informatics of continuous medium models”, Num. Meth. Prog., 10:3 (2009),  306–313  mathnet 1
38. 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
39. 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
40. 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
41. 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
42. 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
43. 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
44. 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
45. 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
46. 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
47. 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
48. 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
49. 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
50. 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
51. 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
52. 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
53. 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
54. 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
55. 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
56. 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
57. 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
58. 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
59. 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 4
60. 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
61. 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
62. 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
63. 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
64. 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
65. 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
66. 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
67. V. P. Il'in, “Generalization of an integral inequality”, Uspekhi Mat. Nauk, 11:4(70) (1956),  131–138  mathnet  mathscinet  zmath 1
2000
68. 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
69. 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
70. 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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