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Tolstykh, Andrey Igorevich
Statistics Math-Net.Ru
Total publications: 41
Scientific articles: 38
Presentations: 1

Number of views:
This page:1519
Abstract pages:9813
Full texts:4438
References:753
Professor
Doctor of physico-mathematical sciences (1977)
E-mail:
Website: http://www.ccas.ru/depart/MathPhys/Faces/Tolstykh_AI.htm

https://www.mathnet.ru/eng/person32438
https://ru.wikipedia.org/wiki/Tolstykh,_Andrei_Igorevich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/205131
https://elibrary.ru/author_items.asp?authorid=1883
https://www.scopus.com/authid/detail.url?authorId=7003805656

Publications in Math-Net.Ru Citations
2022
1. A. I. Tolstykh, D. A. Shirobokov, “On Tollmien – Schlichting instability in numerical solutions of the Navier – Stokes equations obtained with 16th-order multioperators-based scheme”, Computer Research and Modeling, 14:4 (2022),  953–967  mathnet
2. M. V. Lipavskii, A. I. Tolstykh, D. A. Shirobokov, “Parallel implementation of the 16th-order multioperator scheme: application to problems of instability of vortices and boundary layers”, Matem. Mod., 34:8 (2022),  3–18  mathnet  mathscinet
3. A. I. Tolstykh, D. A. Shirobokov, “Excitation and development of instability in a compressible boundary layer as obtained in high-order accurate numerical simulation without introducing artificial perturbations”, Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022),  1209–1223  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:7 (2022), 1180–1192
2018
4. 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
5. 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 4
2013
6. 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 8
7. 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 12
8. 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 10
2011
9. 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
10. 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 6
2010
11. 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 3
2009
12. 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 3
2006
13. 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 13
2005
14. 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 6
2003
15. 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 8
2002
16. 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 3
2000
17. 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 16
1999
18. 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 9
1997
19. 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 5
1996
20. 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 16
1992
21. 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 5
1991
22. 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 8
1990
23. 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 3
1989
24. 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
25. 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 8
1987
26. 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 6
1986
27. 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
28. 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 2
1984
29. 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
30. 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
31. 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 12
1981
32. 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 4
1978
33. 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 6
1976
34. 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 6
1975
35. 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
36. 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 16
1970
37. 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 3
1966
38. 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 6
2017
39. 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
40. 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
41. 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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