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Bulatov, Mikhail Valeryanovich
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Total publications: 50
Scientific articles: 48

Number of views:
This page:5103
Abstract pages:17754
Full texts:6707
References:2996
Doctor of physico-mathematical sciences
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https://www.mathnet.ru/eng/person30160
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/245494

Publications in Math-Net.Ru Citations
2025
1. M. V. Bulatov, O. S. Budnikova, “Extrapolation multistep methods for numerical solution of second-order differential algebraic equations”, Sib. Zh. Vychisl. Mat., 28:2 (2025),  121–140  mathnet
2. M. V. Bulatov, “Collocation-variational approaches to the numerical solution of Volterra integral equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 65:1 (2025),  3–9  mathnet  elib; Comput. Math. Math. Phys., 65:1 (2025), 1–7
2023
3. M. V. Bulatov, T. S. Indutskaya, “Numerical solution of differential-algebraic equations of arbitrary index with Riemann–Liouville derivative”, Russian Universities Reports. Mathematics, 28:141 (2023),  13–25  mathnet 1
4. M. N. Botoroeva, M. V. Bulatov, “Stability analysis of nonclassical difference schemes for nonlinear Volterra integral equations of the second kind”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023),  881–890  mathnet  elib; Comput. Math. Math. Phys., 63:6 (2023), 919–928 2
2022
5. M. V. Bulatov, L. S. Solovarova, “On two-dimensional systems of Volterra integral equations of the first kind”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 208 (2022),  3–10  mathnet
6. M. V. Bulatov, E. V. Markova, “Collocation-variational approaches to the solution to Volterra integral equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  105–112  mathnet  elib; Comput. Math. Math. Phys., 62:1 (2022), 98–105  isi  scopus 4
2021
7. M. N. Botoroeva, O. S. Budnikova, M. V. Bulatov, S. S. Orlov, “Numerical solution of integral-algebraic equations with a weak boundary singularity by $k$-step methods”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1825–1838  mathnet  elib; Comput. Math. Math. Phys., 61:11 (2021), 1787–1799  isi  scopus 4
2019
8. M. V. Bulatov, V. F. Chistyakov, “The index and split forms of linear differential-algebraic equations”, Bulletin of Irkutsk State University. Series Mathematics, 28 (2019),  21–35  mathnet  isi
9. M. V. Bulatov, L. S. Solovarova, “On a certain class of quasilinear second-order differential-algebraic equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 173 (2019),  17–25  mathnet
10. M. V. Bulatov, M. Hadizadeh, E. V. Chistyakova, “Construction of implicit multistep methods for solving integral algebraic equations”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:3 (2019),  310–322  mathnet  elib
11. M. V. Bulatov, V. H. Linh, L. S. Solovarova, “Block difference schemes of high order for stiff linear differential-algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019),  1100–1107  mathnet  elib; Comput. Math. Math. Phys., 59:7 (2019), 1049–1057  isi  scopus 1
2018
12. Vu Hoang Linh, Nguyen Duy Truong, M. V. Bulatov, “Convergence analysis of linear multistep methods for a class of delay differential-algebraic equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018),  78–93  mathnet  elib 2
2017
13. M. V. Bulatov, V. F. Chistyakov, “On some results of investigation of singular systems of integrodifferential equations obtained by Yu. Ye. Boyarintsev research group”, Bulletin of Irkutsk State University. Series Mathematics, 20 (2017),  17–31  mathnet
14. M. N. Botoroeva, M. V. Bulatov, “Applications and methods for the numerical solution of a class of integer-algebraic equations with variable limits of integration”, Bulletin of Irkutsk State University. Series Mathematics, 20 (2017),  3–16  mathnet 5
2015
15. M. V. Bulatov, O. S. Budnikova, “Numerical solution of integral-algebraic equations with weakly singular kernels by $k$-step methods”, Bulletin of Irkutsk State University. Series Mathematics, 13 (2015),  3–15  mathnet 1
16. M. V. Bulatov, L. S. Solovarova, “On the loss of $L$-stability of the implicit Euler method for a linear problem”, Bulletin of Irkutsk State University. Series Mathematics, 12 (2015),  3–11  mathnet
17. M. V. Bulatov, P. M. Lima, Thanh Do Tien, “An integral method for the numerical solution of nonlinear singular boundary value problems”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:4 (2015),  5–13  mathnet  isi  elib 3
2014
18. M. V. Bulatov, Do Tien Thanh, “Multistep Method for Solving Degenerate Integral-Differential Equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:3 (2014),  93–106  mathnet 2
19. M. V. Bulatov, M. N. Machkhina, “Features of behavior of numerical methods for solving Volterra integral equations of the second kind”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014),  496–502  mathnet  elib; Comput. Math. Math. Phys., 54:3 (2014), 505–511  isi  elib  scopus 1
2013
20. M. V. Bulatov, Do Tien Thanh, “A class of singular integro-differential equations”, Bulletin of Irkutsk State University. Series Mathematics, 6:1 (2013),  14–19  mathnet
21. M. V. Bulatov, O. S. Budnikova, “On Stable Algorithms for Numerical Solution of Integral-Algebraic Equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:4 (2013),  5–14  mathnet 1
22. M. V. Bulatov, O. S. Budnikova, “An analysis of multistep methods for solving integral-algebraic equations: Construction of stability domains”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013),  1448–1459  mathnet  elib; Comput. Math. Math. Phys., 53:9 (2013), 1260–1271  isi  elib  scopus 7
23. M. V. Bulatov, N. P. Rahvalov, L. S. Solovarova, “Numerical solution of differential-algebraic equations using the spline collocation-variation method”, Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013),  377–389  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 53:3 (2013), 284–295  isi  elib  scopus 5
2012
24. O. S. Budnikova, M. V. Bulatov, “Numerical solution of integral-algebraic equations for multistep methods”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  829–839  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:5 (2012), 691–701  isi  elib  scopus 39
2011
25. M. V. Bulatov, N. P. Rakhvalov, Ta Duy Phuong, “Numerical methods of solution of boundary-value problem for differential-algebraic equations of the second order”, Bulletin of Irkutsk State University. Series Mathematics, 4:4 (2011),  2–11  mathnet
26. M. V. Bulatov, T. V. Amocova, G. Vanden Berge, “Not classic difference schemes for ordinary differential equations of the second order(initial value problems)”, Zhurnal SVMO, 13:1 (2011),  22–28  mathnet
27. M. V. Bulatov, E. V. Chistyakova, “On a family of singular integro-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011),  1665–1673  mathnet  mathscinet; Comput. Math. Math. Phys., 51:9 (2011), 1558–1566  isi  scopus 12
28. M. V. Bulatov, A. V. Tygliyan, S. S. Filippov, “A class of one-step one-stage methods for stiff systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011),  1251–1265  mathnet  mathscinet; Comput. Math. Math. Phys., 51:7 (2011), 1167–1180  isi  scopus 10
2010
29. M. V. Bulatov, L. S. Solovarova, “On block difference schemes for differential algebraic equations”, Bulletin of Irkutsk State University. Series Mathematics, 3:2 (2010),  2–12  mathnet
30. M. V. Bulatov, M. N. Machkhina, “Об одном классе интегро–алгебраических уравнений с переменными пределами интегрирования”, Zhurnal SVMO, 12:2 (2010),  40–45  mathnet
31. M. V. Bulatov, N. P. Rahvalov, T. D. Phuong, “Numerical solution boundary problem for linear differential-algebraic equations of second order”, Zhurnal SVMO, 12:1 (2010),  52–58  mathnet
32. M. V. Bulatov, Lee Ming-Gong, L. S. Solovarova, “On first- and second-order difference schemes for differential-algebraic equations of index at most two”, Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010),  1909–1918  mathnet; Comput. Math. Math. Phys., 50:11 (2010), 1808–1817  isi  scopus 5
2009
33. M. V. Bulatov, V. F. Chistyakov, “On the properties of finite-dimensional systems of nonlinear equations with multiple solutions”, Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11,  20–36  mathnet
2008
34. M. V. Bulatov, V. F. Chistyakov, N. D. Cong, “On multiple solutions of differential algebraic equations”, Trudy SVMO, 10:1 (2008),  20–36  mathnet
2006
35. M. V. Bulatov, E. V. Chistyakova, “Numerical solution of integro-differential systems with a degenerate matrix multiplying the derivative by multistep methods”, Differ. Uravn., 42:9 (2006),  1248–1255  mathnet  mathscinet; Differ. Equ., 42:9 (2006), 1317–1325 10
36. S. B. Ambartsumov, M. V. Bulatov, “Выбор шага интегрирования для L-устойчивой 1-стадийной схемы 2-го порядка”, Matem. Mod. Kraev. Zadachi, 3 (2006),  33–35  mathnet
2005
37. M. V. Bulatov, “Application of matrix polynomials to investigation of singular equations”, Lobachevskii J. Math., 20 (2005),  17–29  mathnet  mathscinet  zmath
2003
38. M. V. Bulatov, “Construction of a One-Stage $L$-Stable Second-Order Method”, Differ. Uravn., 39:4 (2003),  554–556  mathnet  mathscinet; Differ. Equ., 39:4 (2003), 593–595 4
2002
39. M. V. Bulatov, “Integro-Differential Systems with a Degenerate Matrix Multiplying the Derivative”, Differ. Uravn., 38:5 (2002),  692–697  mathnet  mathscinet; Differ. Equ., 38:5 (2002), 731–737 11
40. M. V. Bulatov, “On the regularization of degenerate integrodifferential equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:11 (2002),  1666–1672  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:11 (2002), 1602–1608 3
41. M. V. Bulatov, V. F. Chistyakov, “A numerical method for solving differential-algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  459–470  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:4 (2002), 439–449 12
42. M. V. Bulatov, “Regularization of singular systems of Volterra integral equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:3 (2002),  330–335  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:3 (2002), 315–320 18
1998
43. M. V. Bulatov, “Reduction of degenerate systems of Volterra-type integral equations to systems of the second kind”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 11,  14–21  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 42:11 (1998), 12–19 6
44. M. V. Bulatov, “On difference schemes for differential-algebraic systems”, Zh. Vychisl. Mat. Mat. Fiz., 38:10 (1998),  1641–1650  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:10 (1998), 1571–1579 5
45. M. V. Bulatov, “Numerical solution of a system of Volterra equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 38:4 (1998),  607–611  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:4 (1998), 585–589 3
1997
46. M. V. Bulatov, “A perturbation method for differential-algebraic systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 11,  3–9  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:11 (1997), 1–7 4
1994
47. M. V. Bulatov, “Transformations of differential-algebraic systems of equations”, Zh. Vychisl. Mat. Mat. Fiz., 34:3 (1994),  360–372  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:3 (1994), 301–311  isi 22
1992
48. M. V. Bulatov, A. A. Bulatova, “Numerical solution of degenerate systems of second-order ordinary differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 1,  21–26  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:1 (1992), 19–24
2018
49. M. V. Bulatov, A. V. Keller, A. A. Kosov, A. V. Lakeev, A. A. Levin, Nguen Khak Diep, Nguen Dik Bang, N. A. Manakova, G. A. Rudykh, È. I. Semenov, L. S. Solovarova, E. V. Chistyakova, “To the 70th anniversary of professor V. F. Chistyakov”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018),  169–176  mathnet  elib
2013
50. T. P. Boyarintseva, M. V. Bulatov, I. V. Orlova, V. F. Chistyakov, “Yuri Yeremeyevich Boyarintsev. Essay Research and Teaching”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:4 (2013),  134–139  mathnet

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