A. D. Bruno

1.6k total citations
124 papers, 999 citations indexed

About

A. D. Bruno is a scholar working on Statistical and Nonlinear Physics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, A. D. Bruno has authored 124 papers receiving a total of 999 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Statistical and Nonlinear Physics, 38 papers in Computational Theory and Mathematics and 35 papers in Numerical Analysis. Recurrent topics in A. D. Bruno's work include Polynomial and algebraic computation (28 papers), Advanced Differential Equations and Dynamical Systems (27 papers) and Numerical methods for differential equations (22 papers). A. D. Bruno is often cited by papers focused on Polynomial and algebraic computation (28 papers), Advanced Differential Equations and Dynamical Systems (27 papers) and Numerical methods for differential equations (22 papers). A. D. Bruno collaborates with scholars based in Russia, Tajikistan and Uzbekistan. A. D. Bruno's co-authors include Sebastian Walcher, V. F. Edneral and А. Г. Петров and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Nonlinear Analysis and Mathematics and Computers in Simulation.

In The Last Decade

A. D. Bruno

109 papers receiving 881 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
A. D. Bruno Russia 14 489 392 256 198 169 124 999
Piotr Zgliczyński Poland 20 832 1.7× 306 0.8× 204 0.8× 175 0.9× 112 0.7× 57 1.2k
André Vanderbauwhede Belgium 14 394 0.8× 205 0.5× 87 0.3× 124 0.6× 227 1.3× 46 880
V. М. Alekseev Russia 9 310 0.6× 102 0.3× 283 1.1× 114 0.6× 57 0.3× 35 910
J. D. Mireles James United States 14 373 0.8× 121 0.3× 93 0.4× 173 0.9× 46 0.3× 46 528
Dieter Schmidt United States 15 280 0.6× 123 0.3× 93 0.4× 74 0.4× 172 1.0× 54 641
Gianni Arioli Italy 18 302 0.6× 70 0.2× 331 1.3× 145 0.7× 40 0.2× 55 973
Carlo Sinestrari Italy 16 118 0.2× 573 1.5× 372 1.5× 82 0.4× 151 0.9× 42 1.3k
Jing-Li Fu China 17 744 1.5× 255 0.7× 98 0.4× 239 1.2× 87 0.5× 106 1.0k
Carlos Castro United States 21 702 1.4× 65 0.2× 326 1.3× 67 0.3× 347 2.1× 140 1.5k
W. Sarlet Belgium 23 1.1k 2.2× 270 0.7× 45 0.2× 230 1.2× 363 2.1× 98 1.6k

Countries citing papers authored by A. D. Bruno

Since Specialization
Citations

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

Fields of papers citing papers by A. D. Bruno

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. D. Bruno. 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. D. Bruno. The network helps show where A. D. Bruno may publish in the future.

Co-authorship network of co-authors of A. D. Bruno

This figure shows the co-authorship network connecting the top 25 collaborators of A. D. Bruno. A scholar is included among the top collaborators of A. D. Bruno 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. D. Bruno. A. D. Bruno is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bruno, A. D., et al.. (2024). Parametric Expansions of an Algebraic Variety Near Its Singularities II. Axioms. 13(2). 106–106.
2.
Bruno, A. D. & V. F. Edneral. (2024). Integration of a Degenerate System of ODEs. Programming and Computer Software. 50(2). 128–137.
3.
Bruno, A. D., et al.. (2023). Real Normal Form of a Binary Polynomial at a Second-Order Critical Point. Computational Mathematics and Mathematical Physics. 63(1). 1–13.
4.
Bruno, A. D., et al.. (2023). Computing Unimodular Matrices of Power Transformations. Programming and Computer Software. 49(1). 32–41. 4 indexed citations
5.
Bruno, A. D., et al.. (2023). Parametric Expansions of an Algebraic Variety near Its Singularities. Axioms. 12(5). 469–469. 1 indexed citations
6.
Bruno, A. D.. (2018). Complicated and exotic expansions of solutions to the Painlevé equations. Keldysh Institute Preprints. 1–44.
7.
Bruno, A. D.. (2016). Computation of the best Diophantine approximations and of fundamental units of algebraic fields. Doklady Mathematics. 93(3). 243–247. 1 indexed citations
8.
Bruno, A. D.. (2013). Asymptotic Solving Nonlinear Equations and Idempotent Mathematics. 2 indexed citations
9.
Bruno, A. D., et al.. (2012). Periodic solutions of the restricted three body problem for small μ and the motion of small bodies of the Solar System. 27(3). 479–488. 1 indexed citations
10.
Bruno, A. D., et al.. (2012). Resolution of an algebraic singularity by power geometry algorithms. Programming and Computer Software. 38(2). 57–72. 13 indexed citations
11.
Bruno, A. D., et al.. (2011). Asymptotic solution of an algebraic equation. Doklady Mathematics. 84(2). 634–639. 5 indexed citations
12.
Bruno, A. D., et al.. (2011). Sets of stability of multiparameterHamiltonian systems. 2 indexed citations
13.
Bruno, A. D.. (2010). Structure of the best diophantine approximations and multidimensional generalizations of the continued fraction. Чебышевский сборник. 11. 2 indexed citations
14.
Bruno, A. D.. (2008). Power-logarithmic expansions of solutions to a system of ordinary differential equations. Doklady Mathematics. 77(2). 215–218. 8 indexed citations
15.
Bruno, A. D., et al.. (2008). Asymptotic forms of solutions to the third Painlevé equation. Doklady Mathematics. 78(2). 765–768. 2 indexed citations
16.
Bruno, A. D.. (2005). Normal Forms and Integrability of the Euler-Poisson Equations. Keldysh Institute Preprints. 1 indexed citations
17.
Bruno, A. D., et al.. (2004). Асимптотики и разложения решений обыкновенного дифференциального уравнения. Успехи математических наук. 59(3). 31–80. 27 indexed citations
18.
Bruno, A. D.. (2003). Asymptotics and Expansions of Solutions to an Ordinary Differential Equation.. 7 indexed citations
19.
Bruno, A. D., et al.. (2001). Local Expansions of Modified Motions of a Rigid Body.. 1 indexed citations
20.
Bruno, A. D. & Sebastian Walcher. (1994). Symmetries and Convergence of Normalizing Transformations. Journal of Mathematical Analysis and Applications. 183(3). 571–576. 27 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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