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Matus, Petr Pavlovich
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person28433
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/192727
https://orcid.org/0000-0002-2645-8592

Publications in Math-Net.Ru Citations
2025
1. P. P. Matus, V. T. K. Tuyen, B. D. Utebaev, “Three-layer compact difference scheme for hyperbolic heat conduction equation”, Mat. Model., 37:4 (2025),  51–67  mathnet
2024
2. P. P. Matus, V. T. K. Tuyen, “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  mathnet 1
2022
3. P. P. Matus, B. D. Utebaev, “Monotone schemes of conditional approximation and arbitrary order of accuracy for the transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022),  367–380  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:2 (2022), 359–371  isi  scopus 1
2021
4. P. P. Matus, B. D. Utebaev, “Compact and monotone difference schemes for parabolic equations”, Mat. Model., 33:4 (2021),  60–78  mathnet; Math. Models Comput. Simul., 13:6 (2021), 1038–1048 10
2017
5. P. P. Matus, Le Minh Hieu, “Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017),  2042–2052  mathnet  elib; Comput. Math. Math. Phys., 57:12 (2017), 1994–2004  isi  scopus 9
2010
6. P. P. Matus, “Well-posedness of difference schemes for semilinear parabolic equations with weak solutions”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2155–2175  mathnet; Comput. Math. Math. Phys., 50:12 (2010), 2044–2063  scopus 9
7. G. L. Martsinkevich, P. P. Matus, M. M. Chuĭko, “Stability of difference schemes in terms of Riemann invariants for a polytropic gas”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010),  1078–1091  mathnet  mathscinet; Comput. Math. Math. Phys., 50:6 (2010), 1024–1037  isi  scopus 3
2005
8. P. P. Matus, G. L. Marcinkiewicz, “On the Stability of a Monotone Difference Scheme for the Burgers Equation”, Differ. Uravn., 41:7 (2005),  955–960  mathnet  mathscinet; Differ. Equ., 41:7 (2005), 1003–1009 3
2004
9. S. V. Lemeshevskii, P. P. Matus, A. R. Naumovich, “A Criterion for Coefficient Stability”, Differ. Uravn., 40:7 (2004),  978–984  mathnet  mathscinet; Differ. Equ., 40:7 (2004), 1043–1050
10. D. R. Bojović, B. S. Jovanović, P. P. Matus, “On the Strong Stability of First-Order Operator-Differential Equations”, Differ. Uravn., 40:5 (2004),  655–661  mathnet  mathscinet; Differ. Equ., 40:5 (2004), 703–710 1
2003
11. P. P. Matus, I. V. Rybak, “Monotone Difference Schemes for Nonlinear Parabolic Equations”, Differ. Uravn., 39:7 (2003),  960–968  mathnet  mathscinet; Differ. Equ., 39:7 (2003), 1013–1022 3
12. B. S. Jovanović, P. P. Matus, “Asymptotic Stability of First- and Second-Order Operator-Differential Equations”, Differ. Uravn., 39:3 (2003),  383–392  mathnet  mathscinet; Differ. Equ., 39:3 (2003), 414–425
2002
13. B. S. Jovanović, P. P. Matus, “Coefficient Stability of Second-Order Operator-Differential Equations”, Differ. Uravn., 38:10 (2002),  1371–1377  mathnet  mathscinet; Differ. Equ., 38:10 (2002), 1460–1466 4
2001
14. B. S. Jovanović, P. P. Matus, “Strong Stability of Operator-Differential Equations and Operator-Difference Schemes in Norms Integral with Respect to Time”, Differ. Uravn., 37:7 (2001),  950–958  mathnet  mathscinet; Differ. Equ., 37:7 (2001), 998–1007 1
15. A. A. Samarskii, V. I. Mazhukin, P. P. Matus, G. I. Shishkin, “Monotone difference schemes for equations with mixed derivative”, Mat. Model., 13:2 (2001),  17–26  mathnet  mathscinet  zmath 6
16. P. P. Matus, I. N. Panayotova, “Coefficient stability of three-level operator-difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  722–731  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:5 (2001), 678–687 3
17. V. I. Mazhukin, D. A. Malafei, P. P. Matus, A. A. Samarskii, “Difference schemes on irregular grids for equations of mathematical physics with variable coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 41:3 (2001),  407–419  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:3 (2001), 379–391 11
2000
18. V. I. Mazhukin, P. P. Matus, I. A. Mikhailuk, “Finite-difference schemes for the Korteweg–de Vries equation”, Differ. Uravn., 36:5 (2000),  709–716  mathnet  mathscinet; Differ. Equ., 36:5 (2000), 789–797 5
1999
19. P. P. Matus, I. N. Panayotova, “Strong stability of operator-differential and operator-difference schemes”, Differ. Uravn., 35:2 (1999),  256–265  mathnet  mathscinet; Differ. Equ., 35:2 (1999), 257–267 2
20. A. A. Samarskii, P. N. Vabishchevich, A. N. Zyl, P. P. Matus, “Difference scheme of the second order of accuracy for dirichlet problem in arbitrary area”, Mat. Model., 11:9 (1999),  71–82  mathnet  mathscinet  zmath 1
21. B. S. Jovanović, P. P. Matus, V. S. Shchehlik, “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  mathnet  zmath 2
22. B. S. Jovanović, P. P. Matus, V. S. Shchehlik, “On accuracy of difference schemes for nonlinear parabolic equations with generalized solutions”, Zh. Vychisl. Mat. Mat. Fiz., 39:10 (1999),  1679–1686  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:10 (1999), 1611–1618 3
23. A. N. Zyl, P. P. Matus, “Efficient high-order accurate finite-difference schemes for multidimensional parabolic equations on nonuniform grids”, Zh. Vychisl. Mat. Mat. Fiz., 39:7 (1999),  1151–1157  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:7 (1999), 1109–1115 2
24. B. S. Jovanović, P. P. Matus, “Estimation of the convergence rate of difference schemes for elliptic problems”, Zh. Vychisl. Mat. Mat. Fiz., 39:1 (1999),  61–69  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:1 (1999), 56–64 1
1998
25. A. A. Samarskii, P. N. Vabishchevich, P. P. Matus, “Coefficient stability of differential-operator equations and operator-difference schemes”, Mat. Model., 10:8 (1998),  103–113  mathnet  mathscinet  zmath 6
26. A. A. Samarskii, P. N. Vabishchevich, S. V. Lemeshevskii, P. P. Matus, “Difference schemes for the problem of the conjugation of equations of hyperbolic and parabolic types”, Sibirsk. Mat. Zh., 39:4 (1998),  954–962  mathnet  mathscinet  zmath; Siberian Math. J., 39:4 (1998), 825–833  isi 3
27. P. N. Vabishchevich, P. P. Matus, A. A. Samarskii, “Second-order accurate finite-difference schemes on nonuniform grids”, Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998),  413–424  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:3 (1998), 399–410 13
1997
28. A. A. Samarskii, P. N. Vabishchevich, P. P. Matus, “Stability of difference schemes in norms that are integral with respect to time”, Dokl. Akad. Nauk, 354:6 (1997),  745–747  mathnet  mathscinet  zmath
29. A. A. Samarskii, V. I. Mazhukin, P. P. Matus, “Invariant difference schemes for differential equations with transformation of the independent variables”, Dokl. Akad. Nauk, 352:5 (1997),  602–605  mathnet  mathscinet  zmath
30. A. A. Samarskii, B. S. Jovanović, P. P. Matus, V. S. Shchehlik, “Difference schemes on time-adaptive grids for parabolic equations with generalized solutions”, Differ. Uravn., 33:7 (1997),  975–984  mathnet  mathscinet; Differ. Equ., 33:7 (1997), 981–990 1
31. A. A. Samarskii, P. P. Matus, V. G. Rychagov, “Monotone difference schemes of high order on nonuniform grids”, Mat. Model., 9:2 (1997),  95–96  mathnet  zmath 2
32. S. E. Ananich, P. P. Matus, I. E. Mozolevski, “Difference schemes for Boltzmann–Fokker–Plank equation”, Mat. Model., 9:1 (1997),  99–115  mathnet  mathscinet
1996
33. A. A. Samarskii, V. I. Mazhukin, P. P. Matus, M. M. Chuiko, “Invariant difference schemes for equations of mathematical physics in nonstationary coordinate systems”, Differ. Uravn., 32:12 (1996),  1691–1700  mathnet  mathscinet; Differ. Equ., 32:12 (1996), 1685–1694
34. A. A. Samarskii, P. N. Vabishchevich, P. P. Matus, “Difference schemes of increased order of accuracy on nonuniform grids”, Differ. Uravn., 32:2 (1996),  265–274  mathnet  mathscinet; Differ. Equ., 32:2 (1996), 269–280 7
1995
35. P. P. Matus, M. N. Moskal'kov, V. S. Shchehlik, “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  mathnet  mathscinet  zmath; Differ. Equ., 31:7 (1995), 1198–1206 4
36. P. N. Vabishchevich, P. P. Matus, V. G. Rychagov, “On a class of difference schemes on dynamic locally condensing grids”, Differ. Uravn., 31:5 (1995),  849–857  mathnet  mathscinet; Differ. Equ., 31:5 (1995), 787–795
1994
37. P. N. Vabishchevich, P. P. Matus, V. S. Shchehlik, “Operator-difference equations of divergence type”, Differ. Uravn., 30:7 (1994),  1175–1186  mathnet  mathscinet; Differ. Equ., 30:7 (1994), 1088–1099 1
38. P. P. Matus, “Difference schemes on composite grids for hyperbolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 34:6 (1994),  870–885  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:6 (1994), 749–761  isi
1993
39. P. P. Matus, “Conservative difference schemes for quasilinear parabolic equations in subdomains”, Differ. Uravn., 29:7 (1993),  1222–1231  mathnet  mathscinet; Differ. Equ., 29:7 (1993), 1060–1068 2
40. P. P. Matus, “Conservative difference schemes for second-order parabolic and hyperbolic equations in subdomains”, Differ. Uravn., 29:4 (1993),  700–710  mathnet  mathscinet; Differ. Equ., 29:4 (1993), 595–604 2
41. P. P. Matus, I. A. Mikhailuk, “Difference schemes with variable weights for hyperbolic systems of equations”, Mat. Model., 5:12 (1993),  35–60  mathnet  mathscinet  zmath
1992
42. A. V. koldoba, Yu. A. Poveschenko, P. P. Matus, M. M. Chuiko, “Mathematical modeling of fluid flow in complex hydravlic systems”, Mat. Model., 4:9 (1992),  43–54  mathnet 1
1991
43. P. P. Matus, “On the construction of difference schemes for multidimensional parabolic equations on adaptive-time grids”, Differ. Uravn., 27:11 (1991),  1964–1974  mathnet  mathscinet  zmath; Differ. Equ., 27:11 (1991), 1404–1414 2
44. P. P. Matus, L. V. Stanishevskaya, “Unconditional convergence of difference schemes for nonstationary quasilinear equations of mathematical physics”, Differ. Uravn., 27:7 (1991),  1203–1219  mathnet  mathscinet  zmath; Differ. Equ., 27:7 (1991), 847–859 3
1990
45. P. P. Matus, “A class of difference schemes on composite grids for non-steady-state problems in mathematical physics”, Differ. Uravn., 26:7 (1990),  1241–1254  mathnet  mathscinet  zmath; Differ. Equ., 26:7 (1990), 911–922 6
1985
46. P. P. Matus, “Unconditional convergence of some difference schemes of problems of gas dynamics”, Differ. Uravn., 21:7 (1985),  1227–1238  mathnet  mathscinet 3
1983
47. P. P. Matus, A. N. Shawel, “Convergence of difference schemes for one-dimensional problems of gas dynamics taking into account heat conduction”, Differ. Uravn., 19:7 (1983),  1251–1261  mathnet  mathscinet 3
1981
48. V. N. Abrashin, P. P. Matus, “On the accuracy of difference schemes for one-dimensional problems of gas dynamics”, Differ. Uravn., 17:7 (1981),  1155–1170  mathnet  mathscinet 4
1979
49. V. N. Abrashin, P. P. Matus, “Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. II”, Differ. Uravn., 15:7 (1979),  1225–1238  mathnet  mathscinet  zmath 2
1978
50. V. N. Abrashin, P. P. Matus, “Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. I”, Differ. Uravn., 14:12 (1978),  2223–2239  mathnet  mathscinet  zmath
2019
51. I. V. Boykov, D. I. Boyarkin, S. M. Vdovin, P. A. Vel'misov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, D. K. Egorova, R. V. Zhalnin, V. T. Zhukov, T. Sh. Kal'menov, L. V. Klochkova, M. M. Krasnov, V. N. Krizsky, E. B. Kuznetsov, M. E. Ladonkina, T. Ph. Mamedova, V. F. Masyagin, P. P. Matus, N. D. Morozkin, S. M. Muryumin, O. A. Neklyudova, Yu. N. Orlov, A. Yu. Pavlov, E. E. Peskova, Yu. A. Poveschenko, I. P. Ryazantseva, V. I. Safonkin, P. V. Senin, G. A. Smolkin, S. I. Spivak, D. V. Suzan, L. A. Sukharev, A. O. Syromyasov, O. B. Feodoritova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, “To the seventieth anniversary of Vladimir Fedorovich Tishkin”, Zhurnal SVMO, 21:1 (2019),  111–113  mathnet
2009
52. V. V. Lepin, P. P. Matus, P. I. Sobolevsky, “Members of the National Academy of Sciences of Belarus at the Institute of mathematics”, Tr. Inst. Mat., 17:1 (2009),  3–18  mathnet  zmath

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