A. B. Vasil’eva

1.5k total citations
38 papers, 905 citations indexed

About

A. B. Vasil’eva is a scholar working on Numerical Analysis, Applied Mathematics and Mechanical Engineering. According to data from OpenAlex, A. B. Vasil’eva has authored 38 papers receiving a total of 905 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Numerical Analysis, 18 papers in Applied Mathematics and 14 papers in Mechanical Engineering. Recurrent topics in A. B. Vasil’eva's work include Differential Equations and Numerical Methods (26 papers), Differential Equations and Boundary Problems (14 papers) and Material Science and Thermodynamics (13 papers). A. B. Vasil’eva is often cited by papers focused on Differential Equations and Numerical Methods (26 papers), Differential Equations and Boundary Problems (14 papers) and Material Science and Thermodynamics (13 papers). A. B. Vasil’eva collaborates with scholars based in Russia, Tajikistan and United States. A. B. Vasil’eva's co-authors include В. Ф. Бутузов, Leonid Kalachev, Andreĭ Nikolaevich Tikhonov, Н. Н. Нефедов, Mikhail Dmitriev, Н. Н. Нефедов, Smirnov Sv, С. А. Кащенко, Н. Х. Розов and V. M. Volosov and has published in prestigious journals such as American Mathematical Monthly, Russian Mathematical Surveys and Geophysical & Astrophysical Fluid Dynamics.

In The Last Decade

A. B. Vasil’eva

34 papers receiving 789 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. B. Vasil’eva Russia	10	526	278	267	192	127	38	905
В. Ф. Бутузов Russia	14	716 1.4×	416 1.5×	393 1.5×	305 1.6×	87 0.7×	105	959
Ivar Stakgold United States	11	145 0.3×	287 1.0×	254 1.0×	54 0.3×	62 0.5×	27	869
V. M. Volosov	7	260 0.5×	117 0.4×	194 0.7×	59 0.3×	207 1.6×	15	933
S. P. Kurdyumov Russia	11	261 0.5×	337 1.2×	498 1.9×	35 0.2×	137 1.1×	45	972
Giorgio Fusco Italy	21	191 0.4×	597 2.1×	458 1.7×	31 0.2×	179 1.4×	72	1.3k
P.A. Zegeling Netherlands	16	252 0.5×	113 0.4×	74 0.3×	44 0.2×	146 1.1×	45	1.0k
Walter G. Kelley United States	10	461 0.9×	185 0.7×	651 2.4×	21 0.1×	99 0.8×	29	1.1k
Aizik Volpert Israel	14	258 0.5×	337 1.2×	756 2.8×	32 0.2×	144 1.1×	29	1.7k
Wiktor Eckhaus Netherlands	21	297 0.6×	210 0.8×	129 0.5×	57 0.3×	705 5.6×	44	1.6k
Harold T. Davis United States	5	317 0.6×	61 0.2×	106 0.4×	37 0.2×	404 3.2×	16	1.1k

Countries citing papers authored by A. B. Vasil’eva

Since Specialization

Citations

This map shows the geographic impact of A. B. Vasil’eva'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. B. Vasil’eva with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. B. Vasil’eva more than expected).

Fields of papers citing papers by A. B. Vasil’eva

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. B. Vasil’eva. 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. B. Vasil’eva. The network helps show where A. B. Vasil’eva may publish in the future.

Co-authorship network of co-authors of A. B. Vasil’eva

This figure shows the co-authorship network connecting the top 25 collaborators of A. B. Vasil’eva. A scholar is included among the top collaborators of A. B. Vasil’eva 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. B. Vasil’eva. A. B. Vasil’eva 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

Vasil’eva, A. B.. (2011). Boundary layers in the solution of singularly perturbed boundary value problem with a degenerate equation having roots of multiplicity two. Computational Mathematics and Mathematical Physics. 51(3). 351–354. 3 indexed citations

Vasil’eva, A. B., В. Ф. Бутузов, & Н. Н. Нефедов. (2010). Singularly perturbed problems with boundary and internal layers. Proceedings of the Steklov Institute of Mathematics. 268(1). 258–273. 70 indexed citations

Ильин, В. А., V. S. Korolyuk, E. F. Mishchenko, et al.. (2007). Yurii Alekseevich Mitropol’skii (A tribute in honor of his ninetieth birthday). Differential Equations. 43(1). 1–9.

Vasil’eva, A. B. & А. В. Плотников. (2006). On parabolic equations with a small parameter. Computational Mathematics and Mathematical Physics. 46(5). 762–767. 1 indexed citations

Vasil’eva, A. B. & Leonid Kalachev. (2006). Singularly perturbed periodic parabolic equations with alternating boundary layer type solutions. Abstract and Applied Analysis. 2006(1). 5 indexed citations

Нефедов, Н. Н., et al.. (2004). Change of the type of contrast structures in parabolic Neumann problems. Computational Mathematics and Mathematical Physics. 45(1). 37–51. 3 indexed citations

Vasil’eva, A. B. & Oleh E. Omel’chenko. (2004). Contrast structures of variable type in quasilinear parabolic equations. Differential Equations. 40(10). 1431–1448. 1 indexed citations

Sv, Smirnov & A. B. Vasil’eva. (2002). The Bony Skull of the Siberian Salamander Salamandrella keyserlingi (Amphibia: Urodela: Hynobiidae) and the Role of Thyroid Hormones in Its Development. Doklady Biological Sciences. 385(1-6). 387–389. 9 indexed citations

Sv, Smirnov & A. B. Vasil’eva. (2001). The Role of Thyroid Hormones in Skull Bone Development in the Ribbed Newt Pleurodeles waltl(Urodela: Salamandridae). Doklady Biological Sciences. 379(1-6). 396–398. 7 indexed citations

10.

Vasil’eva, A. B. & Oleh E. Omel’chenko. (2000). Periodic step-like contrast structures for a singularly perturbed parabolic equation. Differential Equations. 36(2). 236–246. 5 indexed citations

11.

Vasil’eva, A. B., В. Ф. Бутузов, & Н. Н. Нефедов. (1998). Contrast structures in singularly perturbed problems. 4(3). 799–851. 68 indexed citations

12.

Vasil’eva, A. B., В. Ф. Бутузов, & Leonid Kalachev. (1995). The Boundary Function Method for Singular Perturbation Problems. Society for Industrial and Applied Mathematics eBooks. 253 indexed citations

13.

Vasil’eva, A. B., et al.. (1994). Stability of contrasting solutions of nonlinear hydromagnetic dynamo equations and magnetic fields reversals in galaxies. Geophysical & Astrophysical Fluid Dynamics. 78(1-4). 261–279. 6 indexed citations

14.

Vasil’eva, A. B., В. Ф. Бутузов, & Н. Н. Нефедов. (1992). The contrast structures type solutions of nonlinear singularly perturbed equations. 439–445.

15.

Vasil’eva, A. B., et al.. (1987). BIFURCATION OF SELF-OSCILLATIONS OF NONLINEAR PARABOLIC EQUATIONS WITH SMALL DIFFUSION. Mathematics of the USSR-Sbornik. 58(2). 491–503. 23 indexed citations

16.

Loud, W. S., et al.. (1987). Differential Equations.. American Mathematical Monthly. 94(3). 308–308. 14 indexed citations

17.

Бутузов, В. Ф. & A. B. Vasil’eva. (1987). Asymptotic of a solution of contrast-structure type. Mathematical Notes. 42(6). 956–961. 5 indexed citations

18.

Vasil’eva, A. B. & Mikhail Dmitriev. (1978). Singular Perturbations and Some Optimal Control Problems. IFAC Proceedings Volumes. 11(1). 963–966. 7 indexed citations

19.

Vasil’eva, A. B.. (1969). Asymptotic Expansions of Solutions of Singularly Perturbed Problems.. 2 indexed citations

20.

Vasil’eva, A. B.. (1963). Asymptotic solutions of differential-difference equations in the case of a small deviation in the argument. USSR Computational Mathematics and Mathematical Physics. 2(5). 869–893. 6 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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