RUS  ENG
Full version
PEOPLE

Matus Petr Pavlovich

Publications in Math-Net.Ru

  1. Three-layer compact difference scheme for hyperbolic heat conduction equation

    Mat. Model., 37:4 (2025),  51–67
  2. Three-layer of compact difference schemes for the parabolic equation

    Proceedings of the Institute of Mathematics of the NAS of Belarus, 32:1 (2024),  110–120
  3. Monotone schemes of conditional approximation and arbitrary order of accuracy for the transport equation

    Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022),  367–380
  4. Compact and monotone difference schemes for parabolic equations

    Mat. Model., 33:4 (2021),  60–78
  5. Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation

    Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017),  2042–2052
  6. Well-posedness of difference schemes for semilinear parabolic equations with weak solutions

    Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2155–2175
  7. Stability of difference schemes in terms of Riemann invariants for a polytropic gas

    Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010),  1078–1091
  8. On the Stability of a Monotone Difference Scheme for the Burgers Equation

    Differ. Uravn., 41:7 (2005),  955–960
  9. A Criterion for Coefficient Stability

    Differ. Uravn., 40:7 (2004),  978–984
  10. On the Strong Stability of First-Order Operator-Differential Equations

    Differ. Uravn., 40:5 (2004),  655–661
  11. Monotone Difference Schemes for Nonlinear Parabolic Equations

    Differ. Uravn., 39:7 (2003),  960–968
  12. Asymptotic Stability of First- and Second-Order Operator-Differential Equations

    Differ. Uravn., 39:3 (2003),  383–392
  13. Coefficient Stability of Second-Order Operator-Differential Equations

    Differ. Uravn., 38:10 (2002),  1371–1377
  14. Strong Stability of Operator-Differential Equations and Operator-Difference Schemes in Norms Integral with Respect to Time

    Differ. Uravn., 37:7 (2001),  950–958
  15. Monotone difference schemes for equations with mixed derivative

    Mat. Model., 13:2 (2001),  17–26
  16. Coefficient stability of three-level operator-difference schemes

    Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  722–731
  17. Difference schemes on irregular grids for equations of mathematical physics with variable coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 41:3 (2001),  407–419
  18. Finite-difference schemes for the Korteweg–de Vries equation

    Differ. Uravn., 36:5 (2000),  709–716
  19. Strong stability of operator-differential and operator-difference schemes

    Differ. Uravn., 35:2 (1999),  256–265
  20. Difference scheme of the second order of accuracy for dirichlet problem in arbitrary area

    Mat. Model., 11:9 (1999),  71–82
  21. The rates of convergence of the finite difference schemes on nonuniform meshes for parabolic equation with variable coefficients and weak solutions

    Sib. Zh. Vychisl. Mat., 2:2 (1999),  123–136
  22. On accuracy of difference schemes for nonlinear parabolic equations with generalized solutions

    Zh. Vychisl. Mat. Mat. Fiz., 39:10 (1999),  1679–1686
  23. Efficient high-order accurate finite-difference schemes for multidimensional parabolic equations on nonuniform grids

    Zh. Vychisl. Mat. Mat. Fiz., 39:7 (1999),  1151–1157
  24. Estimation of the convergence rate of difference schemes for elliptic problems

    Zh. Vychisl. Mat. Mat. Fiz., 39:1 (1999),  61–69
  25. Coefficient stability of differential-operator equations and operator-difference schemes

    Mat. Model., 10:8 (1998),  103–113
  26. Difference schemes for the problem of the conjugation of equations of hyperbolic and parabolic types

    Sibirsk. Mat. Zh., 39:4 (1998),  954–962
  27. Second-order accurate finite-difference schemes on nonuniform grids

    Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998),  413–424
  28. Stability of difference schemes in norms that are integral with respect to time

    Dokl. Akad. Nauk, 354:6 (1997),  745–747
  29. Invariant difference schemes for differential equations with transformation of the independent variables

    Dokl. Akad. Nauk, 352:5 (1997),  602–605
  30. Difference schemes on time-adaptive grids for parabolic equations with generalized solutions

    Differ. Uravn., 33:7 (1997),  975–984
  31. Monotone difference schemes of high order on nonuniform grids

    Mat. Model., 9:2 (1997),  95–96
  32. Difference schemes for Boltzmann–Fokker–Plank equation

    Mat. Model., 9:1 (1997),  99–115
  33. Invariant difference schemes for equations of mathematical physics in nonstationary coordinate systems

    Differ. Uravn., 32:12 (1996),  1691–1700
  34. Difference schemes of increased order of accuracy on nonuniform grids

    Differ. Uravn., 32:2 (1996),  265–274
  35. Consistent estimates for rate of convergence of the grid method for a second-order nonlinear equation with generalized solutions

    Differ. Uravn., 31:7 (1995),  1249–1256
  36. On a class of difference schemes on dynamic locally condensing grids

    Differ. Uravn., 31:5 (1995),  849–857
  37. Operator-difference equations of divergence type

    Differ. Uravn., 30:7 (1994),  1175–1186
  38. Difference schemes on composite grids for hyperbolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 34:6 (1994),  870–885
  39. Conservative difference schemes for quasilinear parabolic equations in subdomains

    Differ. Uravn., 29:7 (1993),  1222–1231
  40. Conservative difference schemes for second-order parabolic and hyperbolic equations in subdomains

    Differ. Uravn., 29:4 (1993),  700–710
  41. Difference schemes with variable weights for hyperbolic systems of equations

    Mat. Model., 5:12 (1993),  35–60
  42. Mathematical modeling of fluid flow in complex hydravlic systems

    Mat. Model., 4:9 (1992),  43–54
  43. On the construction of difference schemes for multidimensional parabolic equations on adaptive-time grids

    Differ. Uravn., 27:11 (1991),  1964–1974
  44. Unconditional convergence of difference schemes for nonstationary quasilinear equations of mathematical physics

    Differ. Uravn., 27:7 (1991),  1203–1219
  45. A class of difference schemes on composite grids for non-steady-state problems in mathematical physics

    Differ. Uravn., 26:7 (1990),  1241–1254
  46. Unconditional convergence of some difference schemes of problems of gas dynamics

    Differ. Uravn., 21:7 (1985),  1227–1238
  47. Convergence of difference schemes for one-dimensional problems of gas dynamics taking into account heat conduction

    Differ. Uravn., 19:7 (1983),  1251–1261
  48. On the accuracy of difference schemes for one-dimensional problems of gas dynamics

    Differ. Uravn., 17:7 (1981),  1155–1170
  49. Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. II

    Differ. Uravn., 15:7 (1979),  1225–1238
  50. Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. I

    Differ. Uravn., 14:12 (1978),  2223–2239

  51. To the seventieth anniversary of Vladimir Fedorovich Tishkin

    Zhurnal SVMO, 21:1 (2019),  111–113
  52. Members of the National Academy of Sciences of Belarus at the Institute of mathematics

    Tr. Inst. Mat., 17:1 (2009),  3–18

© Steklov Math. Inst. of RAS, 2026