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Kriksin Yury Anatolievich

Publications in Math-Net.Ru

  1. Entropic regularization of the discontinuous Galerkin method in conservative variables for three-dimensional Euler equations

    Matem. Mod., 36:4 (2024),  77–91
  2. Degeneration estimation of a tetrahedral in a tetrahedral partition of the three-dimensional space

    Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  44–51
  3. On one approach to the assessment of a triangular element degeneration in a triangulation

    Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  52–56
  4. Entropic regularization of the discontinuous Galerkin method for two-dimensional Euler equations in triangulated domains

    Matem. Mod., 35:3 (2023),  3–19
  5. A high-accuracy algorithm for solving problems of electrostatics in a nonhomogeneous spatially periodic dielectric medium

    Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022),  40–45
  6. Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations

    Matem. Mod., 33:12 (2021),  49–66
  7. Entropy stable discontinuous Galerkin method for two-dimensional Euler equations

    Matem. Mod., 33:2 (2021),  125–140
  8. Entropy stable discontinuous Galerkin method for Euler equations using non-conservative variables

    Matem. Mod., 32:9 (2020),  87–102
  9. Discontinuous Galerkin method with entropic slope limiter for Euler equations

    Matem. Mod., 32:2 (2020),  113–128
  10. Numerical solution of the Einfeldt problem based on the discontinuous Galerkin method

    Keldysh Institute preprints, 2019, 090, 22 pp.
  11. Ensuring the entropy stability of the discontinuous Galerkin method in gas-dynamics problems

    Keldysh Institute preprints, 2019, 051, 22 pp.
  12. Verification of an entropic regularization method for discontinuous Galerkin schemes applied to hyperbolic equations

    Keldysh Institute preprints, 2019, 018, 25 pp.
  13. Variational entropic regularization of discontinuous Galerkin method for gas dynamics equations

    Matem. Mod., 31:5 (2019),  69–84
  14. Entropic regularization of Discontinuous Galerkin method in one-dimensional problems of gas dynamics

    Keldysh Institute preprints, 2018, 100, 22 pp.
  15. Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background

    Keldysh Institute preprints, 2018, 017, 14 pp.
  16. Hybrid approach to solving single-dimensional gas dynamics equations

    Matem. Mod., 30:8 (2018),  17–31
  17. The model of surface pattern recognition by copolymer

    Matem. Mod., 17:9 (2005),  103–112
  18. The model of copolymer adsorption on the surface with active centers

    Matem. Mod., 17:2 (2005),  3–10
  19. The modelling of secondary structure of polimer chain

    Matem. Mod., 15:11 (2003),  110–120
  20. The model of protein-like copolymer with hydrogen bonds

    Matem. Mod., 15:4 (2003),  101–106
  21. The algorithm for the solution of the integral equations for multicomponent polyelectrolyte systems

    Matem. Mod., 14:7 (2002),  74–80
  22. Reconstruction of proteinlike copolymer globular structure

    Matem. Mod., 14:6 (2002),  82–90
  23. Аn algorithm for solution of integral equations for two-dimension polymer media

    Matem. Mod., 13:5 (2001),  3–10
  24. The algorithm for the solution of the integral equations system for copolymer with coulomb interactions

    Matem. Mod., 12:10 (2000),  110–120
  25. On the convergence of explicit two-layer iterative procedure for the polymer theory integral equation

    Matem. Mod., 11:12 (1999),  105–112
  26. On an algorithm for the solution of the polyelectrolyte integral equations system with molecular closure

    Matem. Mod., 10:10 (1998),  112–122
  27. The algorithm for solving of charged polymer chains integral equation

    Matem. Mod., 9:11 (1997),  119–125
  28. Об одном критерии продолжаемости решения системы обыкновенных дифференциальных уравнений

    Matem. Mod., 9:10 (1997),  28–29
  29. Constructing conservative difference schemes for problems of classical mechanics

    Zh. Vychisl. Mat. Mat. Fiz., 36:4 (1996),  156–157
  30. Solutions of the system of Hamilton difference equations with external action

    Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996),  159–160
  31. On the theory of Hamiltonian systems with external action

    Dokl. Akad. Nauk, 344:2 (1995),  172–174
  32. The inverse problem of source reconstruction for convective diffusion equation

    Matem. Mod., 7:11 (1995),  95–108
  33. On the convergence of the Newton method for the solution of a conservative difference scheme for a problem in classical mechanics

    Zh. Vychisl. Mat. Mat. Fiz., 35:12 (1995),  1819–1830
  34. Non-local properties of solutions of Hamilton's difference equations with external action

    Zh. Vychisl. Mat. Mat. Fiz., 35:5 (1995),  718–727
  35. Balance model of impurity propagation in plan filtration flow

    Matem. Mod., 5:6 (1993),  69–84
  36. Nonlocal solutions of problems of nonlinear dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 33:12 (1993),  1826–1843
  37. Energy bounds of some nonlinear dynamical systems with an external action

    Zh. Vychisl. Mat. Mat. Fiz., 33:9 (1993),  1275–1293
  38. A conservative difference scheme for a system of Hamiltonian equations with external action

    Zh. Vychisl. Mat. Mat. Fiz., 33:2 (1993),  206–218
  39. Mathematical model of stable stationary structures in molecular monolayers

    Matem. Mod., 4:5 (1992),  36–52
  40. Linear acoustic waves scattering in LB-films on inhomogeneities

    Matem. Mod., 4:2 (1992),  3–14
  41. Dynamical systems with an external action

    Zh. Vychisl. Mat. Mat. Fiz., 32:3 (1992),  417–433
  42. Simulation of Langmuir's monolayer dynamics

    Matem. Mod., 3:11 (1991),  39–46
  43. Numerical modelling of stationary structures in Langmuir's monolayer

    Matem. Mod., 2:5 (1990),  18–27
  44. Dynamical properties of Langmuir–Blodgett's molecular films

    Matem. Mod., 2:4 (1990),  39–53
  45. Stationary structures in Langmuir–Blodgett molecular films

    Matem. Mod., 2:1 (1990),  3–13
  46. On the spectral approach to the construction of local regularization algorithms

    Dokl. Akad. Nauk SSSR, 304:3 (1989),  521–525
  47. Numerical modelling of impulsive action on a soliton in quasi-one-dimensional systems

    Matem. Mod., 1:4 (1989),  87–99
  48. A local regularization method for linear operator equations of the first kind and its applications

    Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988),  793–808
  49. The choice of regularization parameter for the solution of a linear operator equation

    Zh. Vychisl. Mat. Mat. Fiz., 25:7 (1985),  1092–1097
  50. Strong regularization and some of its applications

    Dokl. Akad. Nauk SSSR, 278:4 (1984),  800–802
  51. Solution of linear ill-posed problems by the local residual method

    Zh. Vychisl. Mat. Mat. Fiz., 24:12 (1984),  1892–1897
  52. The principle of quasioptimality for linear ill-posed problems in Hilbert space

    Zh. Vychisl. Mat. Mat. Fiz., 24:11 (1984),  1603–1613
  53. Some stochastically regularizing algorithms based on a difference representation of a quasioptimal measure

    Dokl. Akad. Nauk SSSR, 271:3 (1983),  521–524
  54. On the porosity of a densely packed powder of spherical particles

    Dokl. Akad. Nauk SSSR, 265:4 (1982),  798–801
  55. Quasioptimality and residual criteria for systems of linear algebraic equations

    Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1287–1297
  56. A. N. Tikhonov's regularizing operators in some ill-posed problems for differential equations

    Differ. Uravn., 17:10 (1981),  1842–1850
  57. On the question of quasi-optimal choice of a regularized approximation

    Dokl. Akad. Nauk SSSR, 248:3 (1979),  531–535
  58. Solution of the Hadamard problem by a Tikhonov-regularizing algorithm

    Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979),  1462–1470

© Steklov Math. Inst. of RAS, 2024