A. I. Tolstykh

617 total citations
44 papers, 418 citations indexed

About

A. I. Tolstykh is a scholar working on Computational Mechanics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, A. I. Tolstykh has authored 44 papers receiving a total of 418 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Computational Mechanics, 15 papers in Applied Mathematics and 14 papers in Numerical Analysis. Recurrent topics in A. I. Tolstykh's work include Computational Fluid Dynamics and Aerodynamics (28 papers), Fluid Dynamics and Turbulent Flows (15 papers) and Advanced Numerical Methods in Computational Mathematics (14 papers). A. I. Tolstykh is often cited by papers focused on Computational Fluid Dynamics and Aerodynamics (28 papers), Fluid Dynamics and Turbulent Flows (15 papers) and Advanced Numerical Methods in Computational Mathematics (14 papers). A. I. Tolstykh collaborates with scholars based in Russia. A. I. Tolstykh's co-authors include O. M. Belot︠s︡erkovskiĭ and А. С. Холодов and has published in prestigious journals such as Journal of Computational Physics, Computational Mechanics and Applied Acoustics.

In The Last Decade

A. I. Tolstykh

35 papers receiving 379 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
A. I. Tolstykh Russia	9	297	188	92	48	46	44	418
M. Mallet France	8	672 2.3×	84 0.4×	116 1.3×	118 2.5×	44 1.0×	17	735
Vladimir Shaĭdurov Russia	8	243 0.8×	116 0.6×	126 1.4×	44 0.9×	70 1.5×	24	374
Jaume Peraire United States	8	260 0.9×	64 0.3×	53 0.6×	27 0.6×	47 1.0×	10	318
Xinyang Chen United States	7	104 0.4×	219 1.2×	19 0.2×	10 0.2×	95 2.1×	8	335
R.C.Y. Chin United States	12	116 0.4×	94 0.5×	122 1.3×	36 0.8×	44 1.0×	34	490
Christiane Helzel Germany	12	365 1.2×	37 0.2×	52 0.6×	118 2.5×	25 0.5×	23	458
Jean‐Paul Vila France	10	400 1.3×	43 0.2×	58 0.6×	93 1.9×	13 0.3×	29	497
Zhengfu Xu United States	16	550 1.9×	30 0.2×	159 1.7×	199 4.1×	33 0.7×	29	663
Huajun Zhu China	10	155 0.5×	31 0.2×	189 2.1×	38 0.8×	99 2.2×	25	305

Countries citing papers authored by A. I. Tolstykh

Since Specialization

Citations

This map shows the geographic impact of A. I. Tolstykh's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by A. I. Tolstykh with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. I. Tolstykh more than expected).

Fields of papers citing papers by A. I. Tolstykh

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. I. Tolstykh. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by A. I. Tolstykh. The network helps show where A. I. Tolstykh may publish in the future.

Co-authorship network of co-authors of A. I. Tolstykh

This figure shows the co-authorship network connecting the top 25 collaborators of A. I. Tolstykh. A scholar is included among the top collaborators of A. I. Tolstykh based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with A. I. Tolstykh. A. I. Tolstykh is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Tolstykh, A. I., et al.. (2020). Observing production and growth of Tollmien–Schlichting waves in subsonic flat plate boundary layer via exciters-free high fidelity numerical simulation. Journal of Turbulence. 21(11). 632–649. 1 indexed citations

Tolstykh, A. I., et al.. (2017). High-order multioperators-based schemes: Developments and applications. Mathematics and Computers in Simulation. 139. 67–80. 1 indexed citations

Tolstykh, A. I., et al.. (2013). Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations. Computational Mathematics and Mathematical Physics. 53(3). 296–310. 8 indexed citations

Tolstykh, A. I.. (2010). On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms. Computational Mathematics and Mathematical Physics. 50(5). 848–861. 3 indexed citations

Tolstykh, A. I., et al.. (2009). Application of compact and multioperator schemes to the numerical simulation of acoustic fields generated by instability waves in supersonic jets. Computational Mathematics and Mathematical Physics. 49(7). 1221–1234. 3 indexed citations

Tolstykh, A. I.. (2008). Development of arbitrary-order multioperators-based schemes for parallel calculations.. Journal of Computational Physics. 227(5). 2922–2940. 12 indexed citations

Tolstykh, A. I., et al.. (2005). Using radial basis functions in a ``finite difference mode''. Computer Modeling in Engineering & Sciences. 7(2). 207–222. 12 indexed citations

Tolstykh, A. I., et al.. (2003). On using radial basis functions in a ?finite difference mode? with applications to elasticity problems. Computational Mechanics. 33(1). 68–79. 208 indexed citations

Tolstykh, A. I.. (2003). On multioperators principle for constructing arbitrary-order difference schemes. Applied Numerical Mathematics. 46(3-4). 411–423. 11 indexed citations

10.

Tolstykh, A. I., et al.. (2001). On Thin Shear Layers Numerical Simulation. Journal of Computational Physics. 166(1). 152–158. 4 indexed citations

11.

Tolstykh, A. I.. (1998). Two-Step Fifth-Order Methods for Evolutionary Problems with Positive Operators. Positivity. 2(3). 193–219. 1 indexed citations

12.

Tolstykh, A. I., et al.. (1996). Difference schemes with compact fifth-order approximations for spatial flows of a viscous gas. Computational Mathematics and Mathematical Physics. 36(4). 477–489. 6 indexed citations

13.

Tolstykh, A. I., et al.. (1987). Algorithms for calculating viscous gas flows based on compact third-order approximations. USSR Computational Mathematics and Mathematical Physics. 27(6). 71–80. 2 indexed citations

14.

Tolstykh, A. I.. (1985). Non-symmetrical three-point difference schemes of the fourth and fifth orders. USSR Computational Mathematics and Mathematical Physics. 25(4). 127–134. 1 indexed citations

15.

Tolstykh, A. I.. (1981). Implicit schemes of increased accuracy for systems of equations. USSR Computational Mathematics and Mathematical Physics. 21(2). 83–98. 2 indexed citations

16.

Tolstykh, A. I.. (1978). Condensation of grid points in the process of solving and using high-accuracy schemes for the numerical investigation of viscous gas flows. USSR Computational Mathematics and Mathematical Physics. 18(1). 134–147. 3 indexed citations

17.

Tolstykh, A. I.. (1973). Difference schemes of improved accuracy for the numerical solution of some problems in aerodynamics. 4(2). 36–44. 1 indexed citations

18.

Tolstykh, A. I.. (1969). Aerodynamic characteristics of cooled spherical nose in slightly rarefied hypersonic gas flow. Fluid Dynamics. 4(6). 110–112. 2 indexed citations

19.

Tolstykh, A. I., et al.. (1967). Numerical calculation of flow in the region of spherical blunting for small Reynolds numbers. Fluid Dynamics. 2(5). 61–63. 2 indexed citations

20.

Tolstykh, A. I.. (1966). Numerical computation of the supersonic flow of a viscous gas round a blunt body. USSR Computational Mathematics and Mathematical Physics. 6(1). 160–170. 6 indexed citations

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