Vladimir Rokhlin

24.6k total citations · 7 hit papers
127 papers, 16.2k citations indexed

About

Vladimir Rokhlin is a scholar working on Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering and Computational Theory and Mathematics. According to data from OpenAlex, Vladimir Rokhlin has authored 127 papers receiving a total of 16.2k indexed citations (citations by other indexed papers that have themselves been cited), including 74 papers in Atomic and Molecular Physics, and Optics, 43 papers in Electrical and Electronic Engineering and 22 papers in Computational Theory and Mathematics. Recurrent topics in Vladimir Rokhlin's work include Electromagnetic Scattering and Analysis (72 papers), Electromagnetic Simulation and Numerical Methods (40 papers) and Electromagnetic Compatibility and Measurements (16 papers). Vladimir Rokhlin is often cited by papers focused on Electromagnetic Scattering and Analysis (72 papers), Electromagnetic Simulation and Numerical Methods (40 papers) and Electromagnetic Compatibility and Measurements (16 papers). Vladimir Rokhlin collaborates with scholars based in United States, Israel and Canada. Vladimir Rokhlin's co-authors include Leslie Greengard, Ronald R. Coifman, Stephen M. Wandzura, Gregory Beylkin, Mark Tygert, Per‐Gunnar Martinsson, Hongwei Cheng, Norman Yarvin, Jean‐François Carrier and Bradley K. Alpert and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Applied Physics and Journal of Computational Physics.

In The Last Decade

Vladimir Rokhlin

127 papers receiving 14.4k citations

Hit Papers

A fast algorithm for part... 1985 2026 1998 2012 1987 1991 1993 1985 1993 1000 2.0k 3.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. A fast algorithm for particle simulations
    1987 3.4k citations Leslie Greengard, Vladimir Rokhlin profile →
  2. Fast wavelet transforms and numerical algorithms I
    1991 1.2k citations Vladimir Rokhlin et al. profile →
  3. The fast multipole method for the wave equation: a pedestrian prescription
    1993 1.1k citations Vladimir Rokhlin, Stephen M. Wandzura et al. profile →
  4. Rapid solution of integral equations of classical potential theory
    1985 1.0k citations Vladimir Rokhlin profile →
  5. Fast Fourier Transforms for Nonequispaced Data
    1993 639 citations Vladimir Rokhlin et al. SIAM Journal on Scientific Computing profile →
  6. Rapid solution of integral equations of scattering theory in two dimensions
    1990 608 citations Vladimir Rokhlin profile →
  7. A new version of the Fast Multipole Method for the Laplace equation in three dimensions
    1997 582 citations Leslie Greengard, Vladimir Rokhlin profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Vladimir Rokhlin United States 50 8.9k 6.7k 2.9k 2.8k 2.0k 127 16.2k
Leslie Greengard United States 46 6.4k 0.7× 5.0k 0.7× 2.4k 0.8× 2.4k 0.8× 1.4k 0.7× 141 12.4k
I. S. Gradshteyn United States 7 8.9k 1.0× 10.1k 1.5× 1.5k 0.5× 2.0k 0.7× 2.5k 1.3× 8 32.0k
Yousef Saad United States 67 10.0k 1.1× 6.1k 0.9× 12.0k 4.2× 2.3k 0.8× 1.6k 0.8× 297 33.2k
I.M. RYZHIK United States 4 4.8k 0.5× 6.9k 1.0× 995 0.3× 1.4k 0.5× 1.7k 0.9× 6 19.7k
Lloyd N. Trefethen United Kingdom 54 2.5k 0.3× 2.1k 0.3× 5.4k 1.9× 1.4k 0.5× 1.0k 0.5× 175 17.4k
E Weinan United States 74 3.3k 0.4× 2.0k 0.3× 5.8k 2.0× 2.8k 1.0× 563 0.3× 291 22.3k
Per Christian Hansen Denmark 44 1.4k 0.2× 2.4k 0.4× 3.7k 1.3× 2.6k 0.9× 1.7k 0.8× 168 19.4k
Alan Jeffrey United Kingdom 29 3.8k 0.4× 3.8k 0.6× 1.0k 0.4× 1.1k 0.4× 937 0.5× 149 15.3k
Björn Engquist United States 47 2.3k 0.3× 3.4k 0.5× 7.1k 2.5× 2.7k 0.9× 778 0.4× 141 13.6k
Wolfgang Hackbusch Germany 46 3.4k 0.4× 2.4k 0.4× 4.1k 1.4× 2.1k 0.7× 295 0.1× 213 10.0k

Countries citing papers authored by Vladimir Rokhlin

Since Specialization
Citations

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

Fields of papers citing papers by Vladimir Rokhlin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Vladimir Rokhlin. 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 Vladimir Rokhlin. The network helps show where Vladimir Rokhlin may publish in the future.

Co-authorship network of co-authors of Vladimir Rokhlin

This figure shows the co-authorship network connecting the top 25 collaborators of Vladimir Rokhlin. A scholar is included among the top collaborators of Vladimir Rokhlin 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 Vladimir Rokhlin. Vladimir Rokhlin 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.
Rokhlin, Vladimir, et al.. (2024). Finding roots of complex analytic functions via generalized colleague matrices. Advances in Computational Mathematics. 50(4). 1 indexed citations
2.
Gimbutas, Zydrunas, et al.. (2017). A Fast Summation Method for Oscillatory Lattice Sums.. PubMed. 58(2). 5 indexed citations
3.
Bremer, James, et al.. (2014). On the asymptotics of Bessel functions in the Fresnel regime. Applied and Computational Harmonic Analysis. 39(2). 347–356. 13 indexed citations
4.
Rokhlin, Vladimir, et al.. (2013). Prolate Spheroidal Wave Functions of Order Zero. Applied mathematical sciences. 62 indexed citations
5.
Rokhlin, Vladimir, et al.. (2012). A Highly Accurate Solver for Stiff Ordinary Differential Equations. SIAM Journal on Scientific Computing. 34(3). A1296–A1315. 14 indexed citations
6.
Jones, Peter W., et al.. (2011). Randomized approximate nearest neighbors algorithm. Proceedings of the National Academy of Sciences. 108(38). 15679–15686. 32 indexed citations
7.
Rokhlin, Vladimir, et al.. (2010). A new class of fast divide-and-conquer algorithms for the real symmetric tridiagonal eigenvalue problem. 1 indexed citations
8.
Liu, Xiangtao, et al.. (2007). A Fast Algorithm for the Calculation of the Roots of Special Functions. SIAM Journal on Scientific Computing. 29(4). 1420–1438. 94 indexed citations
9.
Rokhlin, Vladimir & Mark Tygert. (2006). Fast Algorithms for Spherical Harmonic Expansions. SIAM Journal on Scientific Computing. 27(6). 1903–1928. 80 indexed citations
10.
Новиков, Сергей Петрович & Vladimir Rokhlin. (2004). Homotopy and homology ; Classical manifolds. Springer eBooks. 1 indexed citations
11.
Xiao, Hong & Vladimir Rokhlin. (2001). Prolate Spheroidal Wave Functions, Quadrature, Interpolation, And Asymptotic Formulae. CERN Bulletin. 12 indexed citations
12.
Rokhlin, Vladimir. (1998). Sparse Diagonal Forms for Translation Operators for the Helmholtz Equation in Two Dimensions. Applied and Computational Harmonic Analysis. 5(1). 36–67. 15 indexed citations
13.
Rokhlin, Vladimir & Mark A. Stalzer. (1997). Scalability of the Fast Multipole Method for the Helmholtz Equation.. PPSC. 1 indexed citations
14.
Gu, Ming, et al.. (1996). Fast Algorithms for Polynomial Interpolation, Integration, and Differentiation. SIAM Journal on Numerical Analysis. 33(5). 1689–1711. 81 indexed citations
15.
Mader, W. F., Vladimir Rokhlin, & Stephen M. Wandzura. (1996). Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions. SIAM Journal on Numerical Analysis. 33(3). 971–996. 206 indexed citations
16.
Rokhlin, Vladimir. (1993). Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions. Applied and Computational Harmonic Analysis. 1(1). 82–93. 303 indexed citations
17.
Greengard, Leslie & Vladimir Rokhlin. (1988). On the evaluation of electrostatic interactions in molecular modeling. 139–144. 16 indexed citations
18.
Rokhlin, Vladimir, et al.. (1981). Premier cours de topologie : chapitres géométriques. 2 indexed citations
19.
Rokhlin, Vladimir. (1972). Congruences modulo 16 in Hilbert's sixtieth problem. Functional Analysis and Its Applications. 6(4). 301–306. 11 indexed citations
20.
Gromov, M. & Vladimir Rokhlin. (1970). Embeddings and immersions in Riemannian geometry. Russian Mathematical Surveys. 25(5). 1–57. 82 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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