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Il'in Valery Pavlovich

Publications in Math-Net.Ru

  1. On the influence of disturbances on the accuracy of computing corrections in the Krylov subspace

    Sib. Zh. Ind. Mat., 28:1 (2025),  5–14
  2. Algebraic-geometric multigrid methods of domain decomposition

    Sib. Zh. Vychisl. Mat., 28:2 (2025),  171–183
  3. Multigrid methods of macro-grid domain decomposition

    Zh. Vychisl. Mat. Mat. Fiz., 65:6 (2025),  875–887
  4. Multigrid methods of incomplete factorization in Krylov subspaces

    Zap. Nauchn. Sem. POMI, 514 (2022),  61–76
  5. Iterative preconditioned methods in Krylov spaces: trends of the 21st Century

    Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1786–1813
  6. On moment methods in Krylov subspaces

    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  38–43
  7. The numerical solution of the direct Zakharov–Shabat scattering problem

    Sib. Zh. Vychisl. Mat., 23:2 (2020),  117–125
  8. Parallel changing triangular iterative methods in Krylov subspaces

    Zap. Nauchn. Sem. POMI, 496 (2020),  104–119
  9. Conjugate direction methods for multiple solution of SLAEs

    Zap. Nauchn. Sem. POMI, 496 (2020),  26–42
  10. Iterative solution of saddle-point SLAEs

    Zap. Nauchn. Sem. POMI, 482 (2019),  135–150
  11. Multigrid methods for solving two-dimensional boundary-value problems

    Zap. Nauchn. Sem. POMI, 482 (2019),  13–27
  12. 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
  13. Projection methods in Krylov subspaces

    Zap. Nauchn. Sem. POMI, 472 (2018),  103–119
  14. Two-level least squares methods in Krylov subspaces

    Zap. Nauchn. Sem. POMI, 463 (2017),  224–239
  15. On coarse grid correction methods in Krylov subspaces

    Zap. Nauchn. Sem. POMI, 463 (2017),  44–57
  16. A method of solving an exterior three-dimensional boundary value problem for the Laplace equation

    Sib. Zh. Ind. Mat., 19:2 (2016),  88–99
  17. Algebraic-geometric and information structures of domain decomposition methods

    Num. Meth. Prog., 17:2 (2016),  132–146
  18. Least squares methods in Krylov subspaces

    Zap. Nauchn. Sem. POMI, 453 (2016),  131–147
  19. Iterative processes in Krylov–Sonneveld subspaces

    Zap. Nauchn. Sem. POMI, 453 (2016),  114–130
  20. On acceleration technologies of parallel decomposition methods

    Num. Meth. Prog., 16:1 (2015),  146–154
  21. On the program components of the mathematical modelling

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 4:3 (2015),  85–94
  22. Problems of parallel solution of large systems of linear algebraic equations

    Zap. Nauchn. Sem. POMI, 439 (2015),  112–127
  23. The additive Peaceman–Rachford method

    Zap. Nauchn. Sem. POMI, 439 (2015),  47–58
  24. On some variants of domain decomposition methods

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 3:2 (2014),  5–19
  25. On some “over-cloud” problems of mathematical modelling

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 3:1 (2014),  68–79
  26. Some parallel methods and technologies of domain decomposition

    Zap. Nauchn. Sem. POMI, 428 (2014),  89–106
  27. DELAUNAY: a technological environment for grid generation

    Sib. Zh. Ind. Mat., 16:2 (2013),  83–97
  28. Parallel algebraic solvers library Krylov

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2:3 (2013),  92–105
  29. On the questions of parallelized Krylov’s iterative methods

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2:3 (2013),  48–62
  30. Modeling of wave processes in a vapor-liquid medium

    Sib. Zh. Vychisl. Mat., 15:3 (2012),  261–270
  31. 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
  32. Parallel methods and technologies of domain decomposition

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2012, no. 1,  31–44
  33. On the interior point method for solving thermodynamic equilibrium problems

    Sib. Zh. Ind. Mat., 14:2 (2011),  69–77
  34. Parallel decomposition methods in trace spaces

    Num. Meth. Prog., 12:1 (2011),  110–119
  35. Parallel processes at the stages of petaflops modeling

    Num. Meth. Prog., 12:1 (2011),  103–109
  36. The exaproblems of mathematical modeling

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 2010, no. 6,  29–40
  37. Geometric informatics of continuous medium models

    Num. Meth. Prog., 10:3 (2009),  306–313
  38. The problems of high performance technologies for solving large sparse linear systems

    Num. Meth. Prog., 10:1 (2009),  141–147
  39. Методы бисопряженных направлений в подпространствах Крылова

    Sib. Zh. Ind. Mat., 11:4 (2008),  47–60
  40. Semi-conjugate direction methods with dynamic preconditioning

    Sib. Zh. Ind. Mat., 10:4 (2007),  41–54
  41. On Kaczmarz's iterative method and its generalizations

    Sib. Zh. Ind. Mat., 9:3 (2006),  39–49
  42. On the numerical solution of three-dimensional diffusion-convective boundary value problems

    Sib. Zh. Ind. Mat., 6:1 (2003),  27–34
  43. On the numerical solution of direct and inverse problems of geoelectromagnetic exploration

    Sib. Zh. Vychisl. Mat., 6:4 (2003),  381–394
  44. Modeling fields in an axially symmetric medium

    Sib. Zh. Ind. Mat., 4:1 (2001),  38–51
  45. On compact difference schemes for the heat equation

    Zh. Vychisl. Mat. Mat. Fiz., 41:10 (2001),  1613–1616
  46. The diagonal transfer method ($TS$ algorithm) for five-point equations

    Zh. Vychisl. Mat. Mat. Fiz., 41:2 (2001),  186–199
  47. On grid technologies for two-dimensional boundary value problems

    Sib. Zh. Ind. Mat., 3:1 (2000),  124–136
  48. On incomplete factorization methods with generalized compensation

    Sib. Zh. Vychisl. Mat., 1:4 (1998),  321–336
  49. Computational aspects of finite volume methods

    Zh. Vychisl. Mat. Mat. Fiz., 38:11 (1998),  1860–1876
  50. Parallel implicit methods of alternating directions

    Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  899–907
  51. Balance approximations of multiple precision for the Poisson equation

    Sibirsk. Mat. Zh., 37:1 (1996),  151–169
  52. Tree organization of the data structure for Cholesky factorization

    Zh. Vychisl. Mat. Mat. Fiz., 34:12 (1994),  1747–1756
  53. A symmetrized Stone's method

    Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1558–1566
  54. The rate of convergence of iterations of implicit incomplete factorization methods

    Zh. Vychisl. Mat. Mat. Fiz., 33:1 (1993),  3–11
  55. Incomplete factorization methods for solving parabolic equations

    Dokl. Akad. Nauk SSSR, 318:6 (1991),  1304–1308
  56. 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
  57. The rate of convergence of iterative incomplete factorization methods

    Dokl. Akad. Nauk SSSR, 301:3 (1988),  533–536
  58. A diagonal connection shift method for solving five-point network equations

    Dokl. Akad. Nauk SSSR, 299:2 (1988),  277–280
  59. A variant of the multigrid method

    Sibirsk. Mat. Zh., 26:2 (1985),  102–107
  60. Superimplicit iteration methods for solving systems of equations with block tridiagonal matrices

    Sibirsk. Mat. Zh., 26:1 (1985),  83–89
  61. Numerical solution of the two-dimensional problem of directed crystallization

    Prikl. Mekh. Tekh. Fiz., 19:4 (1978),  163–166
  62. A difference approximation of the Poisson equation on nonuniform rectangular nets

    Sibirsk. Mat. Zh., 19:3 (1978),  564–570
  63. Spline solutions of ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  620–627
  64. Some estimates for conjugate gradient methods

    Zh. Vychisl. Mat. Mat. Fiz., 16:4 (1976),  847–855
  65. Combining difference algorithms with the Monte Carlo method

    Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975),  384–390
  66. Numerical calculation of nonstationary gharged-particle beams

    Prikl. Mekh. Tekh. Fiz., 15:6 (1974),  31–39
  67. Generalization of an integral inequality

    Uspekhi Mat. Nauk, 11:4(70) (1956),  131–138

  68. Lavrentyev: the historical role in the computerization of our country

    Sib. Zh. Vychisl. Mat., 3:4 (2000),  299–303
  69. Gurii Ivanovich Marchuk (on the occasion of his 75th birthday)

    Sib. Zh. Vychisl. Mat., 3:2 (2000),  89–95
  70. Gurii Ivanovich Marchuk (on the occasion of his seventieth birthday)

    Sibirsk. Mat. Zh., 36:3 (1995),  483–487

© Steklov Math. Inst. of RAS, 2025