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Laevsky, Yurii Mironovich
Professor
Doctor of physico-mathematical sciences (1993)
Birth date: 27.04.1948
E-mail:

https://www.mathnet.ru/eng/person28234
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/231901

Publications in Math-Net.Ru Citations
2025
1. Yu. M. Laevsky, “On some approaches to domain decomposition methods for solving parabolic problems”, Zh. Vychisl. Mat. Mat. Fiz., 65:6 (2025),  888–906  mathnet  elib; Comput. Math. Math. Phys., 65:6 (2025), 1232–1251
2022
2. M. I. Ivanov, I. A. Kremer, Yu. M. Laevsky, “Solving the pure Neumann problem by a mixed finite element method”, Sib. Zh. Vychisl. Mat., 25:4 (2022),  385–401  mathnet; Num. Anal. Appl., 15:4 (2022), 316–330 4
2021
3. M. I. Ivanov, I. A. Kremer, Yu. M. Laevsky, “A computational model of fluid filtration in fractured porous media”, Sib. Zh. Vychisl. Mat., 24:2 (2021),  145–166  mathnet; Num. Anal. Appl., 14:2 (2021), 126–144  isi  scopus 7
2020
4. Yu. M. Laevsky, T. A. Nosova, “A multidimensional computational model of filtration gas combustion”, Sib. Zh. Ind. Mat., 23:1 (2020),  126–142  mathnet; J. Appl. Industr. Math., 14:1 (2020), 148–161 1
2019
5. M. I. Ivanov, I. A. Kremer, Yu. M. Laevsky, “On wells modeling in filtration problems”, Sib. Èlektron. Mat. Izv., 16 (2019),  1868–1884  mathnet 1
6. M. I. Ivanov, I. A. Kremer, Yu. M. Laevsky, “On the streamline upwind scheme of solution to the filtration problem”, Sib. Èlektron. Mat. Izv., 16 (2019),  757–776  mathnet 6
2018
7. A. S. Anisimova, Yu. M. Laevsky, “On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes”, Sib. Èlektron. Mat. Izv., 15 (2018),  759–767  mathnet  isi
8. A. V. Grigorev, Yu. M. Laevsky, P. G. Yakovlev, “On the double porosity model of fractured-porous reservoirs based on the hybrid overflow function”, Sib. Zh. Vychisl. Mat., 21:2 (2018),  155–169  mathnet  elib; Num. Anal. Appl., 11:2 (2018), 121–133  isi  elib  scopus 2
2017
9. V. I. Vasil'ev, M. V. Vasil'eva, Yu. M. Laevskii, T. S. Timofeeva, “Numerical simulation of two-phase fluid filtration in heterogeneous media”, Sib. Zh. Ind. Mat., 20:2 (2017),  33–40  mathnet  elib; J. Appl. Industr. Math., 11:2 (2017), 289–295  scopus 6
10. K. V. Voronin, Yu. M. Laevsky, “The flux predictor-corrector scheme for solving a 3D heat transfer problem”, Sib. Zh. Vychisl. Mat., 20:4 (2017),  345–358  mathnet  elib; Num. Anal. Appl., 10:4 (2017), 287–298  scopus
11. K. V. Voronin, A. V. Grigoriev, Yu. M. Laevsky, “On an approach to modeling wells”, Sib. Zh. Vychisl. Mat., 20:2 (2017),  145–155  mathnet  elib; Num. Anal. Appl., 10:2 (2017), 120–128  isi  scopus 1
2015
12. K. V. Voronin, Yu. M. Laevsky, “On splitting schemes of predictor-corrector type in mixed finite element method”, Sib. Èlektron. Mat. Izv., 12 (2015),  752–765  mathnet 1
13. A. A. Kalinkin, Yu. M. Laevsky, “Mathematical model of water-oil displacement in fractured porous medium”, Sib. Èlektron. Mat. Izv., 12 (2015),  743–751  mathnet 2
14. T. A. Kandryukova, Yu. M. Laevskii, “On approaches to the simulation of filtration gas combustion”, Sib. Zh. Ind. Mat., 18:4 (2015),  49–60  mathnet  mathscinet  elib 2
15. K. V. Voronin, Yu. M. Laevsky, “On the stability of some flux splitting schemes”, Sib. Zh. Vychisl. Mat., 18:2 (2015),  135–145  mathnet  elib; Num. Anal. Appl., 8:2 (2015), 113–121  isi  elib  scopus 6
2014
16. K. V. Voronin, Y. M. Laevsky, “An approach to the construction of flow splitting schemes in the mixed finite element method”, Mat. Model., 26:12 (2014),  33–47  mathnet  elib 3
17. T. A. Kandryukova, Yu. M. Laevsky, “On the numerical simulation of filtration combustion of gases on multi-core computing systems”, Sib. Zh. Ind. Mat., 17:1 (2014),  55–64  mathnet  mathscinet; J. Appl. Industr. Math., 8:2 (2014), 218–226 4
18. E. V. Berveno, A. A. Kalinkin, Yu. M. Laevskii, “Two-phase fluid filtration in nonuniform media on clusters”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2014, no. 4(30),  57–62  mathnet 1
2013
19. Yu. M. Laevskii, S. A. Litvinenko, “On a numerical algorithm for solving the Bakley–Leverett equations”, Sib. Zh. Ind. Mat., 16:3 (2013),  106–115  mathnet  mathscinet 1
2012
20. K. V. Voronin, Y. M. Laevsky, “Splitting schemes in mixed finite element method for a solution to heat transfer problem”, Mat. Model., 24:8 (2012),  109–120  mathnet  mathscinet  elib; Math. Models Comput. Simul., 5:2 (2013), 167–174  scopus 8
21. Yu. M. Laevsky, T. A. Kandryukova, “On approximation of discontinuous solutions to the Buckley–Leverett equation”, Sib. Zh. Vychisl. Mat., 15:3 (2012),  271–280  mathnet  elib; Num. Anal. Appl., 5:3 (2012), 222–230  scopus 4
22. A. A. Kalinkin, Yu. M. Laevsky, “Iterative solver for systems of linear equations with a sparse stiffness matrix for clusters”, Sib. Zh. Vychisl. Mat., 15:2 (2012),  223–228  mathnet; Num. Anal. Appl., 5:2 (2012), 182–186  scopus
23. K. V. Voronin, Yu. M. Laevsky, “On splitting schemes in the mixed finite element method”, Sib. Zh. Vychisl. Mat., 15:2 (2012),  183–189  mathnet; Num. Anal. Appl., 5:2 (2012), 150–155  scopus 7
2010
24. Yu. M. Laevsky, A. A. Kalinkin, “Two-temperature simulation of hydrate-bearing rock”, Mat. Model., 22:4 (2010),  23–31  mathnet  zmath; Math. Models Comput. Simul., 2:6 (2010), 753–759  scopus 1
25. Yu. M. Laevsky, P. E. Popov, A. A. Kalinkin, “Simulation of two-phase fluid filtration by mixed finite element method”, Mat. Model., 22:3 (2010),  74–90  mathnet  mathscinet 9
26. Yu. M. Laevsky, “The wells problem for a stationary equation of diffusion”, Sib. Zh. Vychisl. Mat., 13:2 (2010),  123–142  mathnet; Num. Anal. Appl., 3:2 (2010), 101–117  scopus 5
2009
27. Yu. M. Laevsky, L. V. Yausheva, “Simulation of the filtrating gas combustion processes in non-homogeneous porous media”, Sib. Zh. Vychisl. Mat., 12:2 (2009),  171–187  mathnet; Num. Anal. Appl., 2:2 (2009), 140–153  scopus 5
2008
28. Yu. M. Laevsky, V. S. Babkin, “Stabilized gas combustion wave in an inert porous medium”, Fizika Goreniya i Vzryva, 44:5 (2008),  8–15  mathnet  elib; Combustion, Explosion and Shock Waves, 44:5 (2008), 502–508 14
2007
29. L. V. Knaub, Yu. M. Laevsky, E. A. Novikov, “Variable order and step integrating algorithm based on the explicit two-stage Runge–Kutta method”, Sib. Zh. Vychisl. Mat., 10:2 (2007),  177–185  mathnet 4
2005
30. A. A. Kalinkin, Yu. M. Laevsky, “On extrapolation with respect to a parameter in the perturbed mixed variational problem”, Sib. Zh. Vychisl. Mat., 8:4 (2005),  307–323  mathnet  zmath
2004
31. A. A. Bubyakin, Yu. M. Laevsky, “On one approach to constructing schemes of increased order of accuracy in the finite element method”, Sib. Zh. Vychisl. Mat., 7:4 (2004),  287–300  mathnet  zmath
2003
32. A. A. Bubyakin, Yu. M. Laevsky, “A compact projecting-grid scheme for a class of twodimensional diffusive equations”, Sib. Zh. Vychisl. Mat., 6:2 (2003),  125–138  mathnet  zmath
2002
33. A. A. Zotkevich, Yu. M. Laevsky, “On one class of the two-level explicit schemes”, Sib. Zh. Vychisl. Mat., 5:2 (2002),  163–173  mathnet  zmath 4
2001
34. Yu. M. Laevsky, P. V. Banushkina, “On stability of two-layer explicit schemes”, Sib. Zh. Vychisl. Mat., 4:1 (2001),  107–109  mathnet  zmath 1
2000
35. Yu. M. Laevsky, P. V. Banushkina, “The compound explicit schemes”, Sib. Zh. Vychisl. Mat., 3:2 (2000),  165–180  mathnet  zmath 11
36. Yu. M. Laevsky, “On the structure of solutions of elliptic problems with strong anisotropy”, Sibirsk. Mat. Zh., 41:3 (2000),  648–673  mathnet  mathscinet  zmath; Siberian Math. J., 41:3 (2000), 538–560  isi 3
1999
37. Yu. M. Laevsky, A. M. Matsokin, “Decomposition methods for the solution to elliptic and parabolic boundary value problems”, Sib. Zh. Vychisl. Mat., 2:4 (1999),  361–372  mathnet  zmath 7
38. Yu. M. Laevsky, “A class of three-layer difference schemes and the method of fictitious domains”, Sibirsk. Mat. Zh., 40:5 (1999),  1086–1094  mathnet  mathscinet  zmath; Siberian Math. J., 40:5 (1999), 917–924  isi 1
1998
39. Yu. M. Laevsky, O. V. Rudenko, “On the locally one-dimensional schemes for solving the third boundary value parabolic problems in nonrectangular domains”, Sib. Zh. Vychisl. Mat., 1:4 (1998),  347–362  mathnet  zmath
40. Yu. M. Laevsky, “On methods for solving grid parabolic problems based on bordering of a matrix”, Sibirsk. Mat. Zh., 39:6 (1998),  1322–1335  mathnet  mathscinet  zmath; Siberian Math. J., 39:6 (1998), 1140–1152  isi 1
1997
41. Yu. M. Laevsky, O. V. Rudenko, “On the convergence of locally one-dimensional schemes for solving the third boundary value parabolic problem in nonrectangular domains”, Dokl. Akad. Nauk, 354:4 (1997),  452–455  mathnet  mathscinet  zmath 1
1995
42. Yu. M. Laevsky, S. V. Gololobov, “Explicit-implicit domain decomposition methods for solving parabolic equations”, Sibirsk. Mat. Zh., 36:3 (1995),  590–601  mathnet  mathscinet  zmath; Siberian Math. J., 36:3 (1995), 506–516  isi 16
1994
43. Yu. M. Laevskiĭ, “The decomposition of domains for parabolic problems with discontinuous solutions and the penalty method”, Zh. Vychisl. Mat. Mat. Fiz., 34:5 (1994),  702–719  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:5 (1994), 605–619  isi 1
1992
44. Yu. M. Laevsky, “A domain partitioning algorithm without subdomain overlap for solving parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992),  1744–1755  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:11 (1992), 1569–1580  isi 6
1987
45. V. S. Babkin, Yu. M. Laevsky, “Seepage gas combustion”, Fizika Goreniya i Vzryva, 23:5 (1987),  27–44  mathnet; Combustion, Explosion and Shock Waves, 23:5 (1987), 531–547 33
1985
46. S. I. Potytnyakov, V. S. Babkin, Yu. M. Laevsky, V. I. Drobyshevich, “Thermal structure of an in situ gas combustion wave”, Fizika Goreniya i Vzryva, 21:2 (1985),  19–25  mathnet; Combustion, Explosion and Shock Waves, 21:2 (1985), 146–151 4
1984
47. Yu. M. Laevsky, V. S. Babkin, V. I. Drobyshevich, S. I. Potytnyakov, “Theory of filtrational combustion of gases”, Fizika Goreniya i Vzryva, 20:6 (1984),  3–13  mathnet; Combustion, Explosion and Shock Waves, 20:6 (1984), 591–600 20
48. S. I. Potytnyakov, Yu. M. Laevsky, V. S. Babkin, “Effect of heat losses on propagation of stationary waves in filtration combustion of gases”, Fizika Goreniya i Vzryva, 20:1 (1984),  19–26  mathnet; Combustion, Explosion and Shock Waves, 20:1 (1984), 15–22 9
1983
49. V. I. Drobyshevich, V. S. Babkin, Yu. M. Laevsky, S. I. Potytnyakov, “Filtration combustion of gases”, Fizika Goreniya i Vzryva, 19:2 (1983),  17–26  mathnet; Combustion, Explosion and Shock Waves, 19:2 (1983), 147–155 54
50. Yu. M. Laevsky, “Existence of solutions for the system of equations describing the filtration of a burning gas”, Prikl. Mekh. Tekh. Fiz., 24:6 (1983),  67–71  mathnet; J. Appl. Mech. Tech. Phys., 24:6 (1983), 824–827 1

Presentations in Math-Net.Ru
1. Об аппроксимации разрывных решений уравнения Баклея-Леверетта
Yu. M. Laevsky
The Sixth International Conference "Supercomputer Technologies of Mathematical Modelling" (SCTeMM'25)
July 15, 2025 16:00   
2. Многомасштабные явные методы решения сеточных параболических задач
Yu. M. Laevsky
The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling"
June 28, 2022 14:40   

Organisations