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Ladonkina Marina Eugenievna

Publications in Math-Net.Ru

  1. Modification of the discontinuous Galerkin method using time-dependent basis functions

    Dokl. RAN. Math. Inf. Proc. Upr., 523 (2025),  50–58
  2. On the accuracy of the discontinuous Galerkin method inside centered rarefaction waves and in the areas of their influence

    Mat. Model., 37:1 (2025),  113–130
  3. Comparative analysis of some iterative processes for realization of fully conservative difference schemes for gas dynamics equations in Euler variables

    Zhurnal SVMO, 26:4 (2024),  404–423
  4. On the accuracy of discontinuous Galerkin method calculating gas-dynamic shock waves

    Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  43–51
  5. On the influence of the choice of the numerical flow on the solution of problems with shock waves by the discontinuous Galerkin method

    Keldysh Institute preprints, 2022, 091, 21 pp.
  6. Method for calculating radiative energy transfer in the "back and forth" approximation

    Zhurnal SVMO, 24:4 (2022),  436–451
  7. Theoretical study of stability of nodal completely conservative difference schemes with viscous filling for gas dynamics equations in Euler variables

    Zhurnal SVMO, 24:3 (2022),  317–330
  8. Combined numerical schemes

    Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022),  1763–1803
  9. Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method

    Keldysh Institute preprints, 2021, 007, 18 pp.
  10. Hybrid numerical flux for solving the problems of supersonic flow of solid bodies

    Mat. Model., 33:5 (2021),  47–56
  11. On increasing the stability of the combined scheme of the discontinuous Galerkin method

    Mat. Model., 33:3 (2021),  98–108
  12. Theoretical analysis of fully conservative difference schemes with adaptive viscosity

    Zhurnal SVMO, 23:4 (2021),  412–423
  13. Construction of hybrid numerical flows that suppress the development of shock-wave instability

    Keldysh Institute preprints, 2020, 130, 12 pp.
  14. Modern methods of mathematical modeling of the development of hydrodynamic instabilities and turbulent mixing

    Mat. Model., 32:8 (2020),  57–90
  15. On a two-layer completely conservative difference scheme of gas dynamics in Eulerian variables with adaptive regularization of solution

    Keldysh Institute preprints, 2019, 014, 23 pp.
  16. Difference schemes of consistent approximation to stress-strain state and energy balance of medium

    Mat. Model., 31:7 (2019),  3–20
  17. Implementation of the Galerkin discontinous method in the DGM software package

    Keldysh Institute preprints, 2018, 245, 31 pp.
  18. Research on the accuracy of the discontinuous Galerkin method in the calculation of solutions with shock waves

    Keldysh Institute preprints, 2018, 195, 20 pp.
  19. Difference schemes of support operator method for equations of elasticity theory in cylindrical geometry

    Keldysh Institute preprints, 2018, 142, 22 pp.
  20. 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.
  21. Construction of the limiter based on averaging of solutions for discontinued Galerkin method

    Mat. Model., 30:5 (2018),  99–116
  22. On the accuracy of the discontinuous Galerkin method in calculation of shock waves

    Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  148–156
  23. Application of averaging to smooth the solution in DG method

    Keldysh Institute preprints, 2017, 089, 32 pp.
  24. Discontinuous Galerkin method on three-dimensional tetrahedral meshes. The usage of the operator programming method

    Mat. Model., 29:2 (2017),  3–22
  25. Discontinuous Galerkin method on three-dimensional tetrahedral meshes. The usage of C++ template metaprogramming

    Keldysh Institute preprints, 2016, 024, 23 pp.
  26. Discontinuous Galerkin method on three-dimensional tetrahedral meshes. The usage of the operator programming method

    Keldysh Institute preprints, 2016, 023, 27 pp.
  27. Discontinuous finite-element Galerkin method for numerical solution of parabolic problems in anisotropic media on triangle grids

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:3 (2016),  144–151
  28. Solving the problem of non-stationary filtration of substance by the discontinuous Galerkin method on unstructured grids

    Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016),  989–998
  29. Solution of 3D heat conduction equations using the discontinuous Galerkin method on unstructured grids

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:3 (2015),  523–533
  30. On the connection of discontinuous Galerkin method and Godunov type methods of high order accuracy

    Keldysh Institute preprints, 2014, 049, 10 pp.
  31. The no-slip boundary conditions for discontinuous Galerkin method

    Keldysh Institute preprints, 2014, 032, 16 pp.
  32. Application of the RKDG method for gas dynamics problems

    Mat. Model., 26:1 (2014),  17–32
  33. Discontinuous finite-element Galerkin method for numerical solution of two-dimensional diffusion problems on unstructured grids

    Zhurnal SVMO, 16:2 (2014),  7–13
  34. The high order limiter for RKDG on triangular meshes

    Keldysh Institute preprints, 2013, 053, 26 pp.
  35. One method for numerical solutions of conservation laws systems

    Keldysh Institute preprints, 2013, 032, 12 pp.
  36. Research of the impact of different limiting functions on the order of solution obtained by RKDG

    Keldysh Institute preprints, 2012, 034, 31 pp.
  37. Research of the impact of different limiting functions on the order of solution obtained by RKDG

    Mat. Model., 24:12 (2012),  124–128
  38. A numerical method for solving diffusion-type equations based on a multigrid method

    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1438–1461
  39. About one choice of essentially non-oscillatory high occuracy order difference scheme for systems of conservation laws

    Mat. Model., 21:11 (2009),  19–32
  40. Numerical algorithm for solving diffusion equations on the basis of multigrid methods

    Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009),  518–541
  41. A conservative differencing sceme for diffusion-type equations on base of multigrid methods

    Trudy SVMO, 10:2 (2008),  21–44
  42. Numerical simulation of Richtmyer–Meshkov instability development using the difference schemes of high order of accuracy

    Mat. Model., 19:10 (2007),  61–66
  43. Numerical algorithm for equations of diffusion type on base of multigrid methods

    Mat. Model., 19:4 (2007),  71–89
  44. Numerical simulation and analysis of a turbulent mixing with 3D NUT code

    Mat. Model., 15:5 (2003),  3–11

  45. To the seventieth anniversary of Vladimir Fedorovich Tishkin

    Zhurnal SVMO, 21:1 (2019),  111–113

© Steklov Math. Inst. of RAS, 2026