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Bulatov, Mikhail Valeryanovich
Statistics Math-Net.Ru
Total publications: 48
Scientific articles: 46

Number of views:
This page:4679
Abstract pages:13227
Full texts:5021
References:1802
Doctor of physico-mathematical sciences
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https://www.mathnet.ru/eng/person30160
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https://mathscinet.ams.org/mathscinet/MRAuthorID/245494

Publications in Math-Net.Ru Citations
2023
1. 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
2. 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 1
2022
3. 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
4. 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 2
2021
5. 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 2
2019
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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 4
2015
13. 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
14. 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
15. 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
16. 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 1
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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 32
2011
23. 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
24. 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
25. 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 10
26. 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 9
2010
27. 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
28. M. V. Bulatov, M. N. Machkhina, “Об одном классе интегро–алгебраических уравнений с переменными пределами интегрирования”, Zhurnal SVMO, 12:2 (2010),  40–45  mathnet
29. 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
30. 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
31. 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
32. 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
33. 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
34. 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
35. M. V. Bulatov, “Application of matrix polynomials to investigation of singular equations”, Lobachevskii J. Math., 20 (2005),  17–29  mathnet  mathscinet  zmath
2003
36. 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 5
2002
37. 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 10
38. 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
39. 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
40. 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
41. 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
42. 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
43. 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
44. 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
45. 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
46. 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
47. 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
48. 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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