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Tolstykh, Andrey Igorevich

Statistics Math-Net.Ru
Total publications: 38
Scientific articles: 35
Presentations: 1

Number of views:
This page:776
Abstract pages:6597
Full texts:2761
References:427
Professor
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person32438
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/205131

Publications in Math-Net.Ru
2018
1. A. I. Tolstykh, E. N. Chigerev, “Application of compact and multioperator approximations in the immersed boundary method”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  157–181  mathnet  elib; Comput. Math. Math. Phys., 58:8 (2018), 1354–1376  isi  scopus
2016
2. A. I. Tolstykh, “On the use of multioperators in the construction of high-order grid approximations”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016),  943–957  mathnet  elib; Comput. Math. Math. Phys., 56:6 (2016), 932–946  isi  scopus
2013
3. A. I. Tolstykh, “Hybrid schemes with high-order multioperators for computing discontinuous solutions”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013),  1481–1502  mathnet  elib; Comput. Math. Math. Phys., 53:9 (2013), 1303–1322  isi  elib  scopus
4. M. V. Lipavskii, A. I. Tolstykh, “Tenth-order accurate multioperator scheme and its application in direct numerical simulation”, Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013),  600–614  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:4 (2013), 455–468  isi  elib  scopus
5. M. V. Lipavskii, A. I. Tolstykh, E. N. Chigerev, “Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations”, Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013),  417–432  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 53:3 (2013), 296–310  elib  scopus
2011
6. A. I. Tolstykh, “Family of fifth-order three-level schemes for evolution problems”, Zh. Vychisl. Mat. Mat. Fiz., 51:2 (2011),  206–221  mathnet  mathscinet; Comput. Math. Math. Phys., 51:2 (2011), 193–207  isi  scopus
7. A. I. Tolstykh, “On the multioperator method for constructing approximations and finite difference schemes of an arbitrarily high order”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011),  56–73  mathnet  mathscinet; Comput. Math. Math. Phys., 51:1 (2011), 51–67  isi  scopus
2010
8. A. I. Tolstykh, “On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010),  894–907  mathnet; Comput. Math. Math. Phys., 50:5 (2010), 848–861  isi  scopus
2009
9. A. D. Savel'ev, A. I. Tolstykh, D. A. Shirobokov, “Application of compact and multioperator schemes to the numerical simulation of acoustic fields generated by instability waves in supersonic jets”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009),  1280–1294  mathnet; Comput. Math. Math. Phys., 49:7 (2009), 1221–1234  isi  scopus
2006
10. M. V. Lipavskii, A. I. Tolstykh, E. N. Chigerëv, “A parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation”, Zh. Vychisl. Mat. Mat. Fiz., 46:8 (2006),  1433–1452  mathnet  mathscinet; Comput. Math. Math. Phys., 46:8 (2006), 1359–1377  scopus
2005
11. A. I. Tolstykh, D. A. Shirobokov, “Meshless method based on radial basis functions”, Zh. Vychisl. Mat. Mat. Fiz., 45:8 (2005),  1498–1505  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:8 (2005), 1447–1454
2003
12. M. V. Lipavskii, A. I. Tolstykh, “Fifth- and seventh-order accurate multioperator schemes”, Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003),  1018–1034  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:7 (2003), 975–990
2002
13. A. I. Tolstykh, “Integro-interpolation schemes of a given order and other applications of the multioperator principle”, Zh. Vychisl. Mat. Mat. Fiz., 42:11 (2002),  1712–1726  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:11 (2002), 1647–1660
2000
14. A. I. Tolstykh, “Construction of schemes of prescribed order of accuracy with linear combinations of operators”, Zh. Vychisl. Mat. Mat. Fiz., 40:8 (2000),  1206–1220  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:8 (2000), 1159–1172
1999
15. M. V. Lipavskii, A. I. Tolstykh, “Comparative efficiency of schemes based on upwind compact approximations”, Zh. Vychisl. Mat. Mat. Fiz., 39:10 (1999),  1705–1720  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:10 (1999), 1636–1650
1997
16. V. N. Koterov, A. D. Savel'ev, A. I. Tolstykh, “Numerical simulation of aero-optical fields near an open port of airborne observatory”, Matem. Mod., 9:1 (1997),  27–39  mathnet
1996
17. A. I. Tolstykh, D. A. Shirobokov, “Difference schemes with fifth-order compact approximations for three-dimensional viscous gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 36:4 (1996),  71–85  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:4 (1996), 477–489  isi
1992
18. A. I. Tolstykh, “Iterative schemes with noncentered compact approximations”, Dokl. Akad. Nauk, 326:3 (1992),  425–430  mathnet  mathscinet  zmath; Dokl. Math., 46:2 (1993), 290–295
1991
19. A. I. Tolstykh, “A class of noncentered fifth-order compact difference schemes based on Padé approximations”, Dokl. Akad. Nauk SSSR, 319:1 (1991),  72–77  mathnet  mathscinet  zmath; Dokl. Math., 44:1 (1992), 69–74
1990
20. V. A. Garanzha, A. I. Tolstykh, “Numerical modeling of unsteady separated flows of incompressible liquid based on the fifth-order compact approximations”, Dokl. Akad. Nauk SSSR, 312:2 (1990),  311–314  mathnet  zmath
1989
21. A. I. Tolstykh, “Compact third-order approximations in algorithms for an incompressible fluid”, Zh. Vychisl. Mat. Mat. Fiz., 29:10 (1989),  1514–1529  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:5 (1989), 183–195
1988
22. A. P. Byrkin, A. I. Tolstykh, “Compact third- and fourth-order schemes in problems concerning internal flows of viscous and non-viscous gases”, Zh. Vychisl. Mat. Mat. Fiz., 28:8 (1988),  1234–1251  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 180–191
1987
23. A. D. Savel'ev, A. I. Tolstykh, “Algorithms for calculating viscous gas flows based on compact third-order approximations”, Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987),  1709–1724  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 71–80
1986
24. A. I. Tolstykh, “A third-order scheme and some of its applications”, Dokl. Akad. Nauk SSSR, 291:1 (1986),  45–49  mathnet  mathscinet  zmath
1985
25. A. I. Tolstykh, “Nonsymmetric three-point difference schemes of the fourth and fifth order”, Zh. Vychisl. Mat. Mat. Fiz., 25:8 (1985),  1164–1175  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:4 (1985), 127–134
1984
26. M. V. Lipavskii, A. I. Tolstykh, “The small parameter method for the numerical study of the flow of a stratified medium”, Zh. Vychisl. Mat. Mat. Fiz., 24:5 (1984),  771–775  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:3 (1984), 95–97
1983
27. A. I. Tolstykh, “An internal iteration method for solving three-dimensional problems with nonselfadjoint operators”, Dokl. Akad. Nauk SSSR, 272:3 (1983),  538–541  mathnet  mathscinet  zmath
1982
28. O. M. Belotserkovskii, A. P. Byrkin, A. P. Mazurov, A. I. Tolstykh, “A difference method of increased accuracy for the calculation of flows of a viscous gas”, Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1480–1490  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:6 (1982), 206–216
1981
29. A. I. Tolstykh, “Implicit schemes of higher accuracy for systems of equations”, Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981),  339–354  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:2 (1981), 83–98
1978
30. A. I. Tolstykh, “Condensation of the nodes of the difference networks in the solution process, and the application of schemes of improved accuracy in the numerical study of viscous gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978),  139–153  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 18:1 (1978), 134–147
1976
31. A. I. Tolstykh, “Implicit difference schemes of third order accuracy for multidimensional problems”, Zh. Vychisl. Mat. Mat. Fiz., 16:5 (1976),  1182–1190  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:5 (1976), 92–100
1975
32. A. N. Minailos, A. I. Tolstykh, “Implicit high-accuracy finite-difference schemes for the “shock capturing” calculation of discontinuous”, Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975),  527–531  mathnet; U.S.S.R. Comput. Math. Math. Phys., 15:2 (1975), 242–247
1973
33. A. I. Tolstykh, “On the method of numerical solution of Navier–Stokes equations for a compressible gas in wide range of Reynolds numbers”, Dokl. Akad. Nauk SSSR, 210:1 (1973),  48–51  mathnet
1970
34. O. M. Belotserkovskii, F. D. Popov, A. I. Tolstykh, V. N. Fomin, A. S. Kholodov, “Numerical solution of certain problems in gas dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 10:2 (1970),  401–416  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:2 (1970), 158–177
1966
35. A. I. Tolstykh, “Numerical computation of the supersonic flow of a viscous gas round a blunt body”, Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  113–120  mathnet; U.S.S.R. Comput. Math. Math. Phys., 6:1 (1966), 160–170

2017
36. I. B. Petrov, B. N. Chetverushkin, Vl. V. Voevodin, V. A. Gushchin, K. V. Rudakov, A. I. Tolstykh, A. A. Shananin, A. I. Lobanov, G. Yu. Riznichenko, A. V. Borisov, A. V. Koganov, V. I. Kosarev, S. A. Ishanov, I. S. Nikitin, V. B. Pirogov, A. A. Polezhaev, G. A. Tirskii, I. G. Tormasov, S. S. Simakov, E. L. Stupitsky, P. S. Utkin, Ya. A. Kholodov, V. L. Yakushev, “In memory of A. S. Kholodov”, Computer Research and Modeling, 9:5 (2017),  677–678  mathnet
2016
37. B. N. Chetverushkin, V. B. Betelin, A. S. Kholodov, V. A. Gushchin, S. L. Chernyshev, I. B. Petrov, A. I. Tolstykh, L. I. Turchak, A. V. Babakov, V. L. Yakushev, O. V. Troshkin, “In memory of O. M. Belotserkovskii”, Matem. Mod., 28:2 (2016),  3–5  mathnet  elib
38. A. V. Babakov, V. B. Betelin, V. A. Gushchin, N. S. Vishnyakov, M. K. Kerimov, I. B. Petrov, A. I. Tolstykh, O. V. Troshkin, L. I. Turchak, A. S. Kholodov, S. L. Chernyshov, B. N. Chetverushkin, V. L. Yakushev, “In memory of Academician of the RAS Oleg Mikhailovich Belotserkovskii”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016),  921–926  mathnet  elib; Comput. Math. Math. Phys., 56:6 (2016), 911–915  isi

Presentations in Math-Net.Ru
1. Сверхточные мультиоператорные аппроксимации: развитие и применение
A. I. Tolstykh
International Conference on Applied Mathematics and Computer Science dedicated to the 60th Anniversary of Dorodnicyn Computing Centre of RAS
December 10, 2015 11:55   

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